{"text":"Question: -1 - (-15 + 17) - (3 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7\/236 in -2\/3, 1\/3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 129833 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -4, -10 in increasing order.\nAnswer: -10, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 9, 6\/11 in descending order.\nAnswer: 9, 6\/11, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19178 - 38*l**2 - 19178.\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 82 in 4, 1, 0.065, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6266 - 357?\nAnswer: -6645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -28*z - 4 - 28*z - 29*z + 118*z - 29*z. Calculate r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*t**2 - 6*t**2 - 2 + 0 + 2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -794.9098641 - 0.9903359. Let y = -795 - g. Let f = y + -0.9. Round f to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2216170332 to the power of 1\/2, to the nearest integer?\nAnswer: 47076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - 8. Suppose -v*z = 8 + 12, 0 = 3*g + 2*z - 56. Let d be (-5 - -6) + (60 - 6). What is the highest common divisor of g and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4313 + -21?\nAnswer: 4252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 361 equal to 361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 25 = -5*p, -5*b + 3*p = -30. Suppose -2*h = b*m - 49, 7 + 3 = 2*m. Suppose -26*q = -25*q - h. Calculate the highest common divisor of 51 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -31 + 189\/4. Let c = 1026\/5 - 14839\/70. Calculate the common denominator of k and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1 and 625.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*w = 14*w - x + 22, -4*x = 4*w - 24. Solve w*c = -2*c + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 2*d = -490. Let n be (-16)\/(-40) + 308\/5. Let v = n + d. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 25*p**2 - 7*p + 166. Let g be q(-14). What is g rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w - 3. Let i(f) = -f**3 + 9*f**2 - 11*f + 32. Let m(v) = -2*v**3 - 22*v**2 - v - 3. Let t be m(-11). Let s be i(t). What is y(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1250890 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 40, 62, 118, 226, 404, 670?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + (-2044)\/(-182) + (-7 - 18051\/(-1716)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 810646572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*s = -18*s + 3282. Suppose 831 = j - 2*o, 0*o + 3*o - s = -2*j. Suppose -3*x - 2*x + j = 0. Calculate the highest common divisor of 33 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*q**3 - 19*q**2 - 1 + 2 - 1 to p + u*q**2 + l*q**3 + o*q and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 46214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 25 - 38. Let s = 144 - 95. Let h = s + i. Calculate the highest common factor of h and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 270778635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -0.3, 1157, -1041 in ascending order.\nAnswer: -1041, -0.3, 0, 1157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -423 - 1669*t + 1337 - 126*t wrt t.\nAnswer: -1795","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 2*y + 4 = 7, 165 = -2*j - 19*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6977*a**3 + 9067*a**3 - 16040*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -78 - -79. What is the closest to j in -4, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7483*w - 21276*w + 54067*w - 12485*w.\nAnswer: 12823*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -4*o + 11, t - 2 = -3. Find r such that -5\/4*r + 1\/4*r**4 - 1\/2 - 3\/4*r**2 + 1\/4*r**o = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - a**4)*(2 + a - 2) - 3*a**5 + 10*a - 10*a.\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 483424.\nAnswer: 2, 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6716 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 156 a factor of 56978064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (44\/11)\/(2 + -1). Suppose m = 7 + r. Suppose m*k = 6*k + 25. Calculate the greatest common factor of 40 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3*((-6)\/(-2))\/42)\/(122565\/32684)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t - 7. Let b be g(7). Let p = b - 5. Let a = -1 - p. What is the remainder when 7 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1193490+0.7\nAnswer: 1193490.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = -25*z - 204. Let c(g) = -3*g**3 + 16*g**2 + 8*g + 16. Let w(t) = -5*t**3 + 31*t**2 + 17*t + 32. Let u(d) = 7*c(d) - 4*w(d). Calculate u(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 62.69 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.028 in 3\/4, -79, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 - 6*v - 5. Let w be n(-3). Suppose 2*f - f = 5*i + 65, 52 = -w*i + f. Is -3 - ((i - 0) + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 42 - 21. Let z = 2140 - 2128. Calculate the least common multiple of z and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*q + 0*q + q + (4 - 4 - 1)*(-4 - 3*q + 4) + q - 2*q - q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -21 + 16. Let a be 1\/c - 1012\/(-10). Suppose 3*b - g = 85, 5*b + 2*g - 26 = a. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/((-585)\/(-12)) + 8836\/12831?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 57548 or 57658?\nAnswer: 57658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*c + c + 0*c)*(-3 - 1 + 6) + (5*c - 3*c - 3*c)*(9 + 18 + 4) to y + x*c and give x.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 + 6*j**2 + 5*j - 5. Suppose 0 = 5*f - 4*c, 13 = 5*f + 2*c + 43. Let v be y(f). What is the highest common divisor of v and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.2 + -0.3. Let p = 3.7 + -3.4. Let f = p - 0.6. Which is the third smallest value?  (a) f  (b) m  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157556 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xsfwssc. What is prob of sequence cs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.676 - 1344277294\nAnswer: -1344277294.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/((-1)\/(-1))*65\/(-26). Let q be 0\/(-1) - (-1 - 1). Suppose -q*t + 12 = -u*t. Round t to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 66 = 14. Suppose 118 - q = 5*d. Suppose 3*g = -4*i + 13, 0*g - 12 = -3*g - 3*i. Solve 0 = 4*a + g*z - d, z - 3*z + 6 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10 and 158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 27 (base 8) to base 13\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -7, 2286408, -2\/7, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-48)\/112 - 3\/(-7). Let y be (3 - n)\/(-4 + 5). List the prime factors of ((-1)\/y)\/((-3)\/135).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2332 and 34083876?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 - 125*i + 13*i**2 - 10*i**2. Let g(w) = -w. What is c(g(f))?\nAnswer: 2*f**2 + 125*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 856*r = -391*r + 29928 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n = -k - 2*n + 7, 0 = 5*k - 4*n - 83. Let s(x) = -5*x + 22. Let w be s(11). Let f = 21 - w. What is the remainder when f is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, o: 1, l: 3}. What is prob of sequence qll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 54 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15223073*-8.\nAnswer: 121784584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/6*-26*(-6768)\/1248.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 179\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1812855*k**2 + 3291*k - 164?\nAnswer: -3625710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 14) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + 1. Let s = i - 1. Let v = 6.91 - 1.91. Put s, v, -0.1 in decreasing order.\nAnswer: v, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = 3*y - f - 10, 0 = -5*y - f + 30. Suppose 0 = y*a - 2*u - 4, 0 = u + 4 - 2. Suppose 0 = 4*g - 3*c - 2155, a*g - c = -g + 538. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*p + 21 - 23 - 123*p + 8 - 2*p**2 + 3*p**2 in the form a*p**2 + j*p + c and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = 3*z + 4*l - 6*l, 3*z = -4*l + 40. What is the remainder when 118 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -7*r - 6. Let v(p) = -p + 1. Let c be v(r). Let x(j) = j**3 - j**2 + j. What is x(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 + 9*v - 5. Let g be p(8). What is the derivative of -2 + 3*k**g + 4 - 1 wrt k?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -34\/461?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15656892 + 10326794. Let u = -5330026.99941 - m. Let l = u + -71. What is l rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 71 + 448?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 166633850 smaller than 166633848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 + 7 + 0 - 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1572 and 3930?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*n + 3 - 1 + 2*n)*(2 - 5 + 1 + ((0 + 0 + 2)*(4 - 11 - 3) + 4 + 1 - 3 + 2 - 2 + 1)*(-2 + 2 + 2)) in the form z*n + u and give u.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, d: 2, s: 7, c: 3}. What is prob of picking 2 s?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1124357*n**2 + 15632*n + 19 wrt n?\nAnswer: -2248714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/4 + (-204)\/(-48). Suppose 0 = -3*w + w + 8. Suppose -v - w = -3*v. Solve y = v*p - 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 3*i + i - 64, -82 = 5*w - 3*i. What is the biggest value in 3, w, 4, -33?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, n: 4}. Give prob of picking 3 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -12, 0, 16, 36, 60, 88?\n\"Answer: 2*o**2 + 6*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 1) + (-4 + 2 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*w**2 + 268466*w - 268468*w - 17*w**2.\nAnswer: -11*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1730\/17300)\/((-1)\/890).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 92*z**3 - 471*z**2 wrt z.\nAnswer: 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 13314.6 from -2.9.\nAnswer: -13317.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 12281047 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 3 - 18 = 5*m, 0 = 4*r + 20. Let b be 218\/10 - m\/(-5). Solve -35 = 4*o - 3*s, 4*o + b = 5*s - 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20386037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 368*i**2 + 805*i - 26768. Determine s(366).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 - 41)\/((-34)\/314). Suppose -744 = -2*v + 50. Let k = a - v. Is k >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 349 + -162. Let y = d - 186.99999374. Round y to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162) + sqrt(162) + 0)*4 - sqrt(162))**2.\nAnswer: 7938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g + 0*g - 2*g + 5*g - g - 2*g + (3 - 6 - 15)*(2*g + 4 - 4) - 13*g - 28 + 28.\nAnswer: -49*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lyl when three letters picked without replacement from {u: 1, y: 7, i: 3, h: 1, l: 3, p: 3}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t = 3*w - 7, -5*w + 112*t + 12 = 115*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 70.096376027 + 4826.904155273. Let x = p + -4897. What is x rounded to 5 decimal places?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -1845*j - 177200. Calculate z(-96).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 315.725 - -7.975. Round p to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 2 q, and 1 y when four letters picked without replacement from {c: 2, y: 9, r: 1, k: 1, q: 7}?\nAnswer: 63\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 6*u - 504. Give z(78).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -993 + 8891\/9. What is the common denominator of 145\/66 and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -6 + (-147444)\/(-5)*210\/63. Round v to the nearest one thousand.\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -181, 8, -3\/2, -119?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 AM and 8:41 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*b**2 + 5*b**3 - b**3 + 5*b - 4*b - 3*b**3 + 2*b**4 in the form v + s*b**4 + q*b + f*b**2 + u*b**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/14 and 17\/33127948.\nAnswer: 33127948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 5. What are the prime factors of -6 + 8 + (0 - m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*a - 5 + 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -13*c**2 + 1. Let i be z(1). Is -12 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -285 + 264. Put 0.3, 1\/2, n in ascending order.\nAnswer: n, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - 2311?\nAnswer: -2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 12299 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 34 and 2822.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1084 and 16906.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 15282891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -30*w**3 - 271*w**2 + 38*w + 392. Calculate b(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-120)\/(-9)*(-912)\/(-40). Suppose 0 = -16*r + c + 80. What is the least common multiple of 48 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 + 5*z - 17. Let k be x(4). Let p = 35 - k. Suppose 0 = -0*v - p*v + 4144. Calculate the remainder when v is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnenennennnn.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5852191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (16\/20)\/(2\/10). What is the units digit of d\/(-14) + (-174)\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-48)\/36*21\/(-4). Let p(q) = q - 5. Calculate p(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -2*z**4\/7 + 108*z**3 + 2*z**2\/7 - 108*z = 0.\nAnswer: -1, 0, 1, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**5 - 16*y**4 - 24*y**3 - 16*y**2 - 4*y.\nAnswer: -4*y*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1303 - -1302.471. Let q = h + 12.5255. Let n = -12 + q. Round n to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/5560 and -49\/5560?\nAnswer: 5560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 2 = 0, 3*j = -2*q + j + 12. Let d(n) = 2*n - 5. Suppose 4 = -0*u + u. Let v be d(u). Solve -q*w - v = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of 5*q**7\/21 - 121*q**3\/6 - 29*q. What is the second derivative of r(g) wrt g?\nAnswer: 200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.024  (b) -2695  (c) 0  (d) 111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38 + 51 + 65 - 8*s**3 - 2*s**3 - 154.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*a = 64*a + 34*a - 2357 - 3055 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 100817, 201719, 302621, 403523, 504425?\nAnswer: 605327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2*a**2 - 2332. Let x(z) = z**2. What is r(x(j))?\nAnswer: -2*j**4 - 2332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2.1206 and 245.07.\nAnswer: 247.1906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 9*o**3 - 20*o**2 - 3819*o - 9. Let a(l) = -5*l**3 + 12*l**2 + 1909*l + 5. Calculate -5*a(j) - 3*m(j).\nAnswer: -2*j**3 + 1912*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-156696)\/(-18)*(-1 - -7)\/(-23 - -27).\nAnswer: 2, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1854 a factor of 54439002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1021100120 (base 3) to base 10\nAnswer: 25044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 3739 = 8339. Let l = 653397392\/54109 + -7\/1406834. Let y = g + l. What is the common denominator of y and 35\/18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 87\/2 of a litre?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 34625 divided by 277?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80189966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12983 is divided by 5953?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24 - -90 - 96) + (-3 - -1) - -7.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -x + 5*u, -3*u - 3 = 5*x - 7. Let r(i) = 2*i**2 + 4*i + 3. Let l be r(-2). Suppose -l*z + 45 = -x*z. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -75*r**4 + 6640*r**3 - 3520*r**2.\nAnswer: -5*r**2*(r - 88)*(15*r - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 + 6*d**2 - 4*d + 1. Let t be z(3). Let l be t\/14 - (-2)\/(-7). Is 2 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48592931.\nAnswer: 59, 83, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -36 or -0.9?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/2*90\/(-126)*(-6)\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -54, -8, 138, 384?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**0*c)**(-16))**(-5))**(-2\/117) assuming c is positive.\nAnswer: c**(-160\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of -c**7\/1680 + c**5\/30 + 2*c**2. Let l(f) be the third derivative of n(f). Calculate the least common multiple of 8 and l(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -5*x + x. Let u = 0.1 + -0.6. What is the third biggest value in u, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*n**2 - 5*n**3 + 3*n**2 - n + n**2.\nAnswer: -5*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.8672 and -0.03.\nAnswer: 0.026016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 231950798?\nAnswer: 2, 151, 768049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 56.06 - 55. Let n = 0 + 1. Let u = w - n. Round u to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1065\/90 + -12)\/((-2)\/(-6)). Sort i, -1\/13, 2\/5, -0.13 in increasing order.\nAnswer: i, -0.13, -1\/13, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 654465 and 322?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 + 15 = 2*c + 4*x, -4*c = x - 65. Let h be (-3045)\/(-75) - 6\/10. Calculate the greatest common factor of h and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12210028.\nAnswer: 2, 823, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 42*g - 6. Let p be q(1). Solve 2*z + 28 - p = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + (-8 - 7) - (0 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 + 46*g + 198. Give w(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -27 - -23. Calculate the remainder when (r\/12*(-1950)\/5)\/1 is divided by 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*m - 2*m = -39*m - 27. Which is the fourth smallest value?  (a) -5  (b) 0.23  (c) 0.2  (d) m  (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17d96d0 (base 14) to base 10\nAnswer: 11819766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19 - 37. Let x be (-2)\/(-9) + 112\/c. Let h = -4 - x. Solve -h*m + 5 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22202 is divided by 11092.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 21 + 14. Let l(o) = -o**3 + 8*o**2 - 6*o - 1. Does 3 divide l(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*q - 216 = -5*q + 20*q - 54 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from kkzxkzxk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 - 16.8. Let i = 4422 + -12943\/3. Let t = -107 + i. What is the closest to z in -1, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 - (14 + -15 - ((-5 - -1) + 2))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.2 + 0.3. Let j = 90.916 - -0.084. Let m = 92 - j. Which is the third biggest value?  (a) -1  (b) q  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*f - 1145*f = -34976 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8 or 41\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-8)\/18)\/(4\/(-6)). Is z bigger than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*1*2\/6. Let k = 2183\/40 - 271\/5. Put k, -2, 0.2, d in increasing order.\nAnswer: -2, 0.2, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**5 + t**4. Let h be 4029\/68 + (-1)\/4. Let o = h + -61. Let u(f) = 2*f**5 + 2*f**4 - f**3 - f**2. Let p(x) = o*u(x) + 2*n(x). Factor p(a).\nAnswer: -2*a**2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7365?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10129.11 * 2.\nAnswer: -20258.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 193, 649, 1425, 2533, 3985?\n\"Answer: 2*f**3 + 148*f**2 - 2*f + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/3 - 896*t**2\/3 - 6685*t + 6984.\nAnswer: -(t - 1)*(t + 24)*(t + 873)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -6. Let j = 14 - 14.16. Let b = 0.24 - j. What is the smallest value in b, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6757, 6312, 5143, 2902, -759?\nAnswer: -6188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 + 20*h - 33. Let k be g(18). Suppose 3*i = 2*i + d + 17, k*d + 73 = 4*i. What is the highest common divisor of i and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/9 - ((-2)\/(-25) - (-1161)\/(-6075)). Solve q = 3*w - 4*j + 28, 13*j = -2*w + 15*j - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 + 18. Let f(y) = y**3 - 4*y**2 - 5. Let r be f(s). Let g(d) = -d**3 - 5*d**2. What is g(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 0 - 3*n**3 + 1\/2*n**4 + 9\/2*n**2 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 25*r + 1546391 = 0. Let c = r - 290389. Round c to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llyy when four letters picked without replacement from lllyllylyly?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 429 and 1982750?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*99.\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6496 - -5979. What is the closest to 1 in b, 0.3, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2.19, -5, 2\/11, -1\/46.\nAnswer: -5, -2.19, -1\/46, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -663 less than -27240\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - b + 11, 4*t + 8*b + 1 = 3*b. Let k = 18 + -27. Let m(p) = -p - 10. Let n be m(k). Is n at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*2*sqrt(1100) + -4)**2 - (0 + sqrt(1100) + 5 + 2).\nAnswer: 790*sqrt(11) + 110009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -710 = -2*j - 94. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zxzhxqxxi. What is prob of picking 2 z and 1 h?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 321437\/48618 - 1\/2701. Find the common denominator of k and -131\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/30 + 2 + 56\/(-30). Determine q so that 2*q - g + 12\/5*q**2 = 0.\nAnswer: -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85 = -2*q + 6*d - 51, -2*q - d = -6. Let c = -1 + 2. Solve q*t = -c + 21 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 44065995?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 + 78. Let a = q + -53. Solve -3*i + a = -2*u, 8 = -2*i + 5*i + 2*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -731*g - 1540 = 5091 - 1514 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 134796852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1294 + 134*z + 2596 + 130*z + 122*z - 1302 - 384*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-1767)\/(-62) - -26)?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 + 23*u**2 + 25*u. Suppose 3*y + 45 + 105 = 0. Let v = 74 + y. Is s(v) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3, 16, 1, 2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(3\/2)*z)**(-4) assuming z is positive.\nAnswer: z**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 4 + 3 - 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/160*21 - (-2)\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 2 = 2*v, 16 = 2*j + 65*v - 61*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 z when three letters picked without replacement from llzllllqlz.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95814186?\nAnswer: 2, 3, 13, 131, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -13725 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(-6) - (-9726)\/(-36). Round g to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**2 + u. Let w(r) = -r**3 + 4*r**2 - 1. Let a be w(4). Let q(c) = -6*c**2 - 3*c. Let t(d) = a*q(d) - 3*p(d). Let z(f) = f. Calculate z(t(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6 and 447.\nAnswer: 2682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.692 less than 0.05?\nAnswer: 0.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 AM and 8:50 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of 5*j - 206 - 1\/2*j**2. Let x(p) = 2*p. Determine x(l(f)).\nAnswer: -2*f + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, -5, 221, 5 in descending order.\nAnswer: 221, 5, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1500 and 675.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -101813260 and 5264.\nAnswer: -101807996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2351 + -2351. Let c be (1 + 1)*10\/4. Solve -4*b - b - c = k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/2*((-2016)\/24)\/2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 668802, 668824, 668860, 668910?\n\"Answer: 7*v**2 + v + 668794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88, -700, -1312?\nAnswer: -1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13277 - -35140. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 + 4*s**2 - 3*s - 2. Let k be y(-4). Solve 4*n = k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjffffffjffffffjjff. Give prob of sequence ffjj.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -255329\/54 - -4729. Let g = i - -1087\/108. Calculate the common denominator of -7\/6 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 282\/188*(-1800)\/27?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.136 take away 275604?\nAnswer: -275604.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*l, 2*l - 117 = -3*x + 5*l. Let t(w) = 2*w**2 + 19*w + 57. Let c be t(-3). What is the greatest common divisor of c and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-726)\/363)\/((157*-2)\/2).\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5250?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + -2. Suppose -3*l - q = c, 5*l + 3*c - c = -4. Solve -4*m - 4*u + 24 = l, -5*u = 2*m - 2 - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 3*f - 12, -7*o + 4 = -10*o + f. Let c be 1 + o + 15\/1. Solve 1 = -3*d + c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -161 + 162. Which is the nearest to -0.1?  (a) n  (b) 5  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -45, -136, -289, -504, -781, -1120?\n\"Answer: -31*v**2 + 2*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 8*i**2 + 7. Let j(c) be the first derivative of 4*c**3\/3 + 3*c + 65. Determine 7*j(u) - 3*v(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(180)\/sqrt(192) - (sqrt(1500)*2 + sqrt(15)))\/(-5*(sqrt(5) - -1*sqrt(5)) + sqrt(5) + sqrt(605)*-1).\nAnswer: 83*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -0.4, -1\/325?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 950611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20 and 780?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -157290*v**2 - 140682?\nAnswer: -314580*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*v - 420 = 4*o, 10959 = 3*o + 3*v + 11049 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve n = 2*j - 10, 2*j = 28153*n - 28155*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -51 - -5 - -12 - 2 - (-15 - -8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**2 + 1 + 7*z - 21*z - 15. Let a be f(-14). What are the prime factors of -6 + 3 - -4 - a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 71\/5 of a milligram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1056 (base 14) in base 6?\nAnswer: 21020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/4 - (-2)\/(9 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 158 divide 4752798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -692 divided by -4?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 556130 or 556248?\nAnswer: 556248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 589.9157um in kilometers?\nAnswer: 0.0000005899157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.02500299 to 4 decimal places.\nAnswer: -1.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2173716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and 0.569?\nAnswer: 1.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -47 divided by -3?\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 74 + -47. Suppose -3*m - q = 33. Calculate the common denominator of -27\/8 and 316\/m*(-15)\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 0*f = 0. Suppose 2*v - v = f. Suppose v = 3*q - q - 102. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 5*z**3 + 447*z**2 - 273*z - 239. Let b be f(-90). Let o = -58 + 90. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -bd588 - -251?\nAnswer: -bd337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -301 - -1644. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 951 is divided by 302?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -158*h - 154*h - 164*h - h**2 + 476*h. Let w(o) = -4*o + 38. What is b(w(d))?\nAnswer: -16*d**2 + 304*d - 1444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-68)\/18)\/(65280\/(-360) - -182)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 46684, 93369, 140056, 186745, 233436, 280129?\n\"Answer: j**2 + 46682*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -152*p - 24*p**2 + 3*p**3 + 7*p**3 - 3546 + 3386 + 2*p**4 = 0. What is p?\nAnswer: -5, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express -36*o + 30 - 89 + 4*o**2 + 28 + 33 as n + l*o + g*o**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -128*m**4 - 1952*m**3 - 6674*m**2 + 5856*m - 1152 = 0. What is m?\nAnswer: -8, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-18)\/(-15) + 776\/20. Solve -5*b = 3*c - 13, 4*c + 43*b = o*b + 21 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, -4, 2\/924973, 0.2, 2\/5 in descending order.\nAnswer: 2\/5, 0.2, 2\/924973, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 9936706, 19873438, 29810170, 39746902, 49683634, 59620366?\n\"Answer: 9936732*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4515272912164 take away -0.2?\nAnswer: -4515272912163.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-5)*(-475)\/(-10)*-1. Solve -6*g - 44 + t = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1141830 and 198585.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28 + -13. Suppose 5*m - 16 = -1. Calculate the highest common factor of t and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71 - 544 = -43*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15669*t = -15670*t + 5*a - 80, 3*a = 2*t + 48 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 150 - 350. Let o = r - -199. Which is smaller: 3\/127 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 3964 = -4*h - 4*r, 4*h - 3962 = -3*r. Does 23 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 3*m = m + 50, 0 = -5*g + 2*m + 88. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, s: 2, h: 15}. Give prob of sequence nhhs.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -3*m - 2. Let l be x(-2). Suppose -l*d - 17 = -5. Let n = 0.3 + -0.2. Which is the closest to n?  (a) 4  (b) 3  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 15) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from otpp. What is prob of picking 1 t and 2 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4725 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16365 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 13a + -b0b4?\nAnswer: -ab76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from nqznnnnln?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14157 - -179.\nAnswer: 14336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of d**3*v**3*z**3 + 155*d**3*v**3*z - 209*d**3*z**3 - 2*d**2*v*z**2 wrt z?\nAnswer: 6*d**3*v**3 - 1254*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.35661+-0.0813935\nAnswer: 0.2752165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.5, -1\/6, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -0.5, 2\/7, 1\/12, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4071 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4253 - 142?\nAnswer: -4435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3570970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.115, -3, 0, 2, 3\/2, 0.3 in descending order.\nAnswer: 2, 3\/2, 0.3, 0, -0.115, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 72e1 (base 15) in base 6?\nAnswer: 304234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-14\/3)\/(p*(p*p**(3\/32)*p*p)\/p) assuming p is positive.\nAnswer: p**(-745\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 0*c - 4 - c**3 + 5*c - c + 5*c**2. Let q be r(5). Solve 4*l = -8, n = 4*n - 2*l - q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 2*m + 15 = 11, 0 = 16*v - 4*m - 80. Suppose 0*g + 0 + 1\/2*g**v + 4*g**2 = 0. Calculate g.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.08 - 0.08. Let o = 1 - w. What is the second biggest value in 0.2, o, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-40)\/150)\/((4\/15)\/(8\/20))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*m - 81 + 38 + 41.\nAnswer: 10*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1034*h - 499*h - 639*h + 9*h**2.\nAnswer: 9*h**2 - 104*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*o**2 - 4*o**2 + 2*o**2)*(0*o - 4*o + 3*o) + 4*o**3 - 5*o**3 + 0*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41 + 46 + 4 + -24.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -142*m**4 - 118*m**4 - 191 - 265 wrt m.\nAnswer: -1040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8.3 + -8. Let z = -1 - -1.5. Which is the nearest to -1?  (a) w  (b) z  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -165743 or -165742?\nAnswer: -165742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -1. Let q = 1326 - 1325.7. Put -0.2, h, q in increasing order.\nAnswer: -0.2, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 154 - 34 = 4*k - 2*x, 2*k = 5*x + 44. What is the highest common divisor of k and 2432?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -0*r - 24. Suppose -3*k = c - r, -c = -4*k + 4 + 13. Suppose -k*q + 5105443 = 4*b + 755435, q = 5*b + 1449990. Round q to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 4) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r**2 + 2*r**3 - 2*r**2 - 19.\nAnswer: 2*r**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 704 a factor of 995456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -0.02, 0.29, 0, -1.6.\nAnswer: -1.6, -0.2, -0.02, 0, 0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-18)\/(-15)*20\/8. What is the units digit of (8 - (-6)\/j) + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 8*n - 21. Let c be (-3 - -6) + 34\/(-2). Let f = 16 + c. Solve 2*v - f*k = 2, -v = -2*v - n*k - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -2*g**4\/19 - 66*g**3\/19 + 252*g**2\/19 + 1144*g + 121968\/19 = 0.\nAnswer: -22, -7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 107192.\nAnswer: 2, 13399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 198 and 1683?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from saxsabxawwib. Give prob of sequence aaa.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, b: 2, a: 7}. What is prob of picking 1 a and 1 k?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -26, -3\/7, -0.08, -0.4 in increasing order.\nAnswer: -26, -3\/7, -0.4, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1734494 and 1734494.\nAnswer: 1734494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) -21  (b) 6  (c) -2  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.34 rounded to one dp?\nAnswer: 14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 1 - 2)*(2*n + 0*n + 12*n**3 + n**4 - 14*n**3).\nAnswer: 3*n**4 - 6*n**3 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6 - (-2)\/2) + 9881. Calculate the greatest common factor of y and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.25 - -0.206. Let i = g - -0.013. Round i to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 2*v - 78, -v - 5*q + 80 = v. Suppose -v = -6*o + o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4266, -4288, -4304, -4296, -4246, -4136, -3948, -3664?\n\"Answer: 3*i**3 - 15*i**2 + 2*i - 4256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + h - 3 = -3*f, -5*f - 2*h + 3 = 0. Let p(i) = i. Calculate p(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 20\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*s - 3725 + 3655 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 601569 is divided by 1027.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (19 + -30 + 3) - -24.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 264 and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, i: 4, r: 1, e: 1, b: 5}. What is prob of picking 2 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -59b77 (base 14) to base 5\nAnswer: -24002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24.64876 + -3.\nAnswer: 21.64876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9*(-2)\/24*-4. Suppose 2*u + 517 = p*u. Suppose 3*y - 5*x + 3*x = u, 3*y = -5*x + 482. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of 0 + 0*f**6 - f**3 - 1\/42*f**7 + 0*f**2 + 0*f**5 + 7*f + 0*f**4. Find the second derivative of a(z) wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -41 + 16 + 80 - 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h - 5 = 2*r - 9*h, -3*r = -5*h + 7. Let w(k) = k**2 + 4*k + 36. Let m be w(r). Calculate the greatest common factor of m and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 5*h - 4*i, -3*h - 3 = 3*i - 0. Let j be ((-10)\/6 + -1)*3. Let v = h - j. Calculate the remainder when 16 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**2 - 1412*j - 249218 = 0. Calculate j.\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11073186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 279?\nAnswer: 1\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*t**3 + 2*t**3 + 2*t**3 - 10*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**3 - n**2 - 2*n - 2. Let i(x) = -4*x**3 + 3*x**2 + 7*x + 7. Calculate -7*c(v) - 2*i(v).\nAnswer: v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5300884 (base 9) to base 15.\nAnswer: 3b0051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -i**2*y + i**2 + 28*i*y + 8*i - 4459*y wrt i.\nAnswer: -2*i*y + 2*i + 28*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 140967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 1  (c) 31\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8.7 and 1.1891.\nAnswer: 10.34517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 380644 divided by -44?\nAnswer: -8651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1 + 38\/18 + 8\/(-36) and 32\/13?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 8 + (8 + -2 - 10)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of -w**7\/2100 + w**6\/450 + w**5\/300 - w**4\/30 + w**3\/6 + w. Let n(x) be the second derivative of f(x). Factor n(c).\nAnswer: -2*(c - 2)*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.05 + -1.05. Let l = -402\/5 + 80. Sort v, 4, l.\nAnswer: l, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = 2*m - 266. What is the lowest common multiple of m and 2?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -123*g + 98. Determine z(0).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15 + 916*d - 7 - 2117*d + 329*d to w + r*d and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 71967111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -2*l - 100, 4*p - p + 4*l = 34. Suppose -7*x - 4 = -p. Factor 0 - 8\/3*g - 10\/3*g**x - 2\/3*g**3.\nAnswer: -2*g*(g + 1)*(g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1003622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 31 - 35 = 0. Which is greater: q or 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 5*x**3 - 2*x**2 - 2*x - 13. Let a(d) = -21*d**3 + 9*d**2 + 9*d + 52. Suppose 11*n - 32 = n - 6*n. Determine n*a(b) + 9*v(b).\nAnswer: 3*b**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 5423373.\nAnswer: 1\/5423373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -252 + 888?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of -13*t**4\/4 - t**3\/3 + t**2 - 2*t - 8. Let n be z(1). Let p be n\/4*(13 + -9). Is -14 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**3 - 3*q**2 - 3*q + 2. Suppose 10*z = 5*z + 20. Let n be w(z). Solve b - 5*k = -15, -b - n = -3*k + k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*v + 2*v - 2*v)*(-8*v + 2*v + 11*v)*(4*v - 5*v - 12*v) - v**3 - 2*v**3 + v**3 to o*v + s + b*v**2 + x*v**3 and give x.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 2*i + 2*o = -16, -4*i - o = -5. Let k(l) = -5*l**2 + l**2 - 2*l**2 + 4*l**2 - l - 2. Give k(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, -16, -6, -4 in decreasing order.\nAnswer: 2, -2, -4, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*q - 4 = 16*q. Is -1\/61 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 855 = -2*h. Let g = 402 + h. What is the greatest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 16 = -3*v, 0 = -4*c - 0*v - v - 31. Let l = -13 - c. Let u be (-30)\/(-4) - l\/(-4). Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1850 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9924 - -11046. List the prime factors of w.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4*(4 + -1 + -4). Let a(m) = m**3 - 3*m**2 - 4*m - 1. What is a(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 0*n - 5*t + 26 = 0, 3*n - 5*t = -11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -o - 6*d + 12, -4*o = -d - 9. Let i be 8\/6*o - -19938. Let y = i - 11279. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/3  (b) 9  (c) -3  (d) -1  (e) -2186466\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of 2*u**3\/3 - 25*u**2\/2 + 31*u + 113. Is 19 a factor of v(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(6\/17)*u*(u*u**(-2\/17))\/u)\/(u\/(u\/(u\/u**(-1\/30)))*u\/(u*u**(-21)\/u)))**(3\/7) assuming u is positive.\nAnswer: u**(-11117\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 117 and 2106.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 312 and 1380.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j - 2. Let m be z(-8). Let q be -1*(112\/(-20) - (-3)\/5). Put m, q, -5 in increasing order.\nAnswer: -5, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 2*x - x - 64 = 0, 0 = -4*x. What is the remainder when d is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10679760 and 42?\nAnswer: 10679760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.5884798 to two dps.\nAnswer: -5.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d - 4. Calculate o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12100 + -3320203?\nAnswer: -3302103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/14)\/((-72)\/(-504)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-12)\/18)\/((-4)\/(-6)). Let u be ((-4)\/s)\/2 - -2. Is u greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 + 122807*j - 859700. Give c(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3939*z - 5678 = 4011*z - 7783*z for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 - 6 = -2*m. Let n be 4\/m + (-519)\/(-12). Let u = -18 + n. What is the remainder when u is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -184, -249, -354, -499, -684, -909, -1174?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12*h**3*z + 23611*h**3 - h*z**3 - 87*h*z wrt z.\nAnswer: 12*h**3 - 3*h*z**2 - 87*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 2 - (0 + -7) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*o - o**3 + o**4 - 4*o**4 + 7*o**4 + (3 + 5*o + 5 - 8*o)*(-3*o**3 + 4*o**3 + 0*o**3) as u*o**2 + c*o**4 + a*o + d*o**3 + l and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 3*m**3\/2 + 26057*m**2 + 69481*m\/2 + 8685 = 0?\nAnswer: -17370, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 2 = -2*u - 30, -2*b = -u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 - 8 + 8 = -4*d - 2*x, -x = -5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -99768.681 times 0.3?\nAnswer: -29930.6043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + k + 9. Let f(x) = 3*x**3 - 3*x**3 + 2 - 4*x + x**k - 3*x**2. Let o be f(4). What is the highest common factor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 - -15. Suppose 4*h - 5*h + 4 = 0. Suppose -7*l - h = -9*l. Solve 0 = w - l*w + j*s - 28, s + 4 = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 164289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*n**3 - 8*n**3 - 245*n + 245*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 499 - 557 - a**2 + 58.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, 7.42, 7 in descending order.\nAnswer: 7.42, 7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 216*q**2 - 5*q - q + 5*q.\nAnswer: 216*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 19176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/6 of a week in hours?\nAnswer: 812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 2. Suppose j - w + 1 - 19 = x, 5*j + w - 66 = 0. Let r be 32\/(-48) - (-214)\/6. Calculate the highest common factor of j and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 - 5453*d + 71060. Determine o(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 + (-3)\/6*8. Let m be (-36)\/8 - (-4)\/a. Let v = 3 + m. Sort 2, v, -1.\nAnswer: v, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1127960*m - 1062844.\nAnswer: -1127960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(117) + -1)*3 + 2 - (-1*sqrt(91)*2)\/((sqrt(126)\/sqrt(6))\/sqrt(3)))**2.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -90 - -54. Let j = 96 + m. Suppose 129 + j = 3*n. Calculate the remainder when n is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-2\/5)\/(c**(2\/9)*c*c)*(c\/(c\/c**0)*c)\/c*c**(6\/5)*((c**(-1))**(-2\/85))**(2\/79) assuming c is positive.\nAnswer: c**(-85916\/60435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 = -u + 2*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -355  (b) 2  (c) -3  (d) 25  (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 + 6*c + 5. Let x be g(-4). Let n = 17 - 16. Suppose 9*s - 15 = 4*s. Sort s, x, n in decreasing order.\nAnswer: s, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*y**2 - 4*y**3 - 4*y**2)*(y - 4*y + y) + 2*y**4 + 3*y**4 - 6*y**4 + 19*y**4 - y + y to the form z*y**2 + q + p*y + i*y**3 + g*y**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6734 - -0.1.\nAnswer: -6733.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -560, 4, -2.21, 7?\nAnswer: -2.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1 * 1749\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 175144027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 5*u**2 + 29*u + 16. Let n(v) = v**2 - 29*v - 107. Let d be n(32). What is the least common multiple of 2 and t(d)?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -89 in 1\/5, -0.92, 0.0095?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of 109*f**4\/3 + 365*f**3\/6 + f**2\/2 + 4*f + 8. Find the second derivative of s(z) wrt z.\nAnswer: 872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4742016 a multiple of 1864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.27 and -0.26.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -72 + 87. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -x**5\/3 - 5*x**4\/3 + 2*x**3\/3 + 10*x**2\/3 - x\/3 - 5\/3 = 0. Calculate x.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 79703470 and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/15)\/(144\/(-60)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2530.451 * -0.2.\nAnswer: -506.0902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 28  (b) 0.4  (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 355805?\nAnswer: 5, 71161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(2\/7)*v*v)**(-25)*v**(-4)*(v\/(v\/(v*(v*v**0)\/v)))\/v assuming v is positive.\nAnswer: v**(-603\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2946371 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.752 take away 0.1?\nAnswer: -0.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 346472541?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.1500553g?\nAnswer: 150055300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 259440 and 89117640.\nAnswer: 178235280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 PM and 6:05 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (8\/(-3))\/(6\/(-9)). Let k(u) = 738*u + 13. Let a be k(x). Suppose 0 = -2*i + 2589 + a. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8376.371 decades to months.\nAnswer: 1005164.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 5 = -y. Suppose -7*c = -9*c + 120. Suppose 4*t + c = 6*t. Calculate the highest common divisor of y and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95778.\nAnswer: 2, 3, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of w**5\/30 - 5*w**4\/24 + 25*w**3\/6 - 21*w**2 + 1. Calculate the smallest common multiple of o(3) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of -g**4\/18 + g**2\/9 - 427. Factor t(w).\nAnswer: -2*w*(w - 1)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4724421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of u**8\/28 - 163*u**7\/42 + u**6\/30 + u**4\/12 - 299*u**3 + 7854*u. What is the third derivative of p(y) wrt y?\nAnswer: 240*y**3 - 9780*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -102 - 16*n - 12*n + 37*n + 132 - 10*n.\nAnswer: -n + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(25 + -33 - -7 - (-3 + 1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*q + 22. Suppose -m - 4*b - 2 = -q, -2*m + 4*b + 24 = 0. What is the least common multiple of 6 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of -2*p**3\/3 + 171. Let h(u) = -746*u. Give h(g(m)).\nAnswer: 1492*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 - 7\/2)*-2. Let k be -3 + 0 + (q - -3). Let j = 3 - k. What is the lowest common multiple of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m - 1. Let r(z) = 59. Let g(s) = 6*o(s) + r(s). Let i be g(8). What is the highest common divisor of 45 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n**3 - 10*n**2 - 18*n - 1. What is the remainder when c(10) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/20*(-26)\/195?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of 17*u**5\/5 - 14*u**3\/3 - 17. Find the third derivative of c(v) wrt v.\nAnswer: 408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -41 - 11*c**3 - 79 - 101*c**3 with respect to c.\nAnswer: -336*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 9\/296  (b) 13\/5  (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express d**2 - 3*d**2 + 2*d + d**3 + 1 - 2*d**4 + 1 + 0 as p*d**2 + x*d**4 + f*d**3 + w*d + s and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -13, 24, 157, 440, 927?\n\"Answer: 9*n**3 - 6*n**2 - 8*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 14*r + 2. Let f(l) = -13*l - 3. Let a(d) = -4*f(d) - 3*o(d). Let w(b) = -b - 1. Suppose 0 = 3*z - 2 - 1. Let q = 0 + z. What is q*a(n) + 8*w(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1153697 is divided by 288420?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of -b**5\/30 - b**4\/12 + b**3\/2 + 4*b. Let c(i) be the second derivative of j(i). What is the first derivative of c(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o**2 - o**2 + 3*o**2)*(-3*o + 4*o - 2*o)*(-155 + 155 - 24*o).\nAnswer: 48*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - 9*a**2 + 8*a - 10. Calculate the remainder when 19 is divided by s(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (168\/315*10\/(-40))\/(4\/5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - 1. Let i(d) be the third derivative of d**4\/24 + 5*d**3\/6 + 5*d**2. Does 5 divide i(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 135 - 77. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -47, -72, -105, -140, -171?\n\"Answer: s**3 - 10*s**2 - 2*s - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the third derivative of -a**8\/336 + a**7\/210 + a**6\/20 - 7*a**5\/30 + 11*a**4\/24 - a**3\/2 + 20*a**2. Solve d(m) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -3 - (-1 - (32 - -3) - 4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 5:38 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, -2, 2455, -39 in ascending order.\nAnswer: -39, -2, 2, 4, 2455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes before 2:16 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -206.553 + -0.447. Let a = j + 204. What is the second biggest value in -0.4, -20, a, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 3 + 12 = 0. Let u be t + -1 + (-144)\/78. Is -2 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*y**5 - 342*y**4 + 1348*y**3 - 13*y**2 - 1196261.\nAnswer: 480*y**2 - 8208*y + 8088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 38823867 and 243.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/887 or 5\/20347?\nAnswer: 5\/20347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -395 (base 12) in base 13?\nAnswer: -32c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.776 * -25.\nAnswer: -19.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5724.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * 1323.\nAnswer: -529.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*f**5 - 6*f**4 + 6*f**4 + (-f**4 - f**4 + 0*f**4)*(-2*f - f + 0*f) + 23*f**3 - 15*f**5 - 23*f**3.\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -624958.711 to the nearest ten thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 688 - 25*n - 688 - 2*n - 4 + 4 + (1 - 4 + 4)*(-n - 5*n + 5*n) - n + 2 - 2 - 2*n + 2*n + 15*n.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - 9, -3*t + 0 = 3*o + 6. Let a(j) = 1 + 14*j**3 + 0 + 5*j**3. What is the units digit of a(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1104 and 6.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16314975075*g**2 + 442470*g - 3.\nAnswer: -3*(73745*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 8 = 0, -2*d - d - 4*i + 32 = 0. Let r = -46 - 16. Is 10 a factor of d\/(-12) - r\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oewz when four letters picked without replacement from {e: 2, s: 2, w: 5, z: 3, o: 8}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/23  (b) -3\/5  (c) 0.3  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sjjjjuse. Give prob of sequence jsu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 15 = -10*p. Let b(o) = 2*o**2 - 5*o + 2. Let x be b(p). Suppose 2*a = x*l + 69, -5*a - 129 = -10*a - 2*l. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -34, 5, 3, 10 in descending order.\nAnswer: 10, 5, 3, 2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 23255460 = -3*x + 51144536, 0 = 3*j + 6. Round x to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - 1 - ((12 - 36) + 6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -28*k + 49. Let t be c(6). Let p = -117 - t. Solve -v = v + p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:00 AM and 10:15 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -5*c + 117. Calculate g(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -74 + 64.75. Let f = 1686.25 + c. Let w = 1676.999999283 - f. What is w rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from ohyhjoojwh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 7.327779 centuries?\nAnswer: 732.7779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2071*p**4 - 3*p**3 - 139*p - 16365112 with respect to p.\nAnswer: 8284*p**3 - 9*p**2 - 139","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**5 - 95*f**4 + 615*f**3 - 1505*f**2 + 980*f.\nAnswer: 5*f*(f - 7)**2*(f - 4)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 - (2 - 3)*4. Let b = 11 - 8. Find the third derivative of b*s**2 - s - 3*s + r*s + s**3 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 618 = -65846*s + 65824*s + 2*t, 2*s + 2*t + 54 = 0 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 27982 > 14869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1678 in -11, 0.6, 2\/11, -1\/7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.133, -0.5, -1\/4, 0.5, 98, 2\/5?\nAnswer: 0.133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*s**5\/5 - 5048*s**4\/5 + 271926*s**3\/5 - 3189652*s**2\/5 - 11548096*s\/5 - 8081472\/5 = 0. What is s?\nAnswer: -2577, -2, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (0 - 6\/9)\/(22\/(-957)) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppwwpppp. What is prob of picking 2 p and 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 3*g = 15. Let v be (-2)\/g + 12\/6. Factor -2\/3*j**4 + 0 - v*j**3 - 2\/3*j**2 + 0*j.\nAnswer: -2*j**2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -132 by 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p = -4*z - 17, -2*p = -p - 2*z + 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of d**3\/3 - 2*d**2 - 3*d + 156. Let r(m) be the first derivative of 3*m**2\/2 - 4*m + 2. Let h be r(3). What is y(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 4*z + 2, 2*z - 4*z - 6 = 3*x. What is the tens digit of 2184\/14*x\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*h**4 + 13608*h**3*k + 21604*h**2*k - 129*h*k + 2*k + 1 wrt h?\nAnswer: 144*h + 81648*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -3*i - 16, -5*s - 3*i - 25 + 44 = 0. Let f be 3\/2*4\/6. Which is the third biggest value?  (a) s  (b) -6  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 69 - 38. Let w = r - 30.8. Let p be (-10)\/45*-2*3\/(-6). Which is the second biggest value?  (a) p  (b) w  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*z**2 - 6*z**2 + 6*z + 0*z + 3*z**2 wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*v**2 - 25*v - v**2 - 34 + 4.\nAnswer: 5*(v - 6)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 3:36 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 - -8.4. Let l = 1.5 - y. Put 1\/8, 2, 20, l in decreasing order.\nAnswer: 20, 2, 1\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 42 - 42.3. Let d = 7 + -6.7. Which is the closest to 2?  (a) d  (b) m  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-13)\/(156\/126))\/((-2)\/(-4) - 0)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/18*(-1230546)\/(-24). Let z = -5696 - n. Let f = z - 2\/9. What is the biggest value in f, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 215 + -215. Suppose -20*v + 3*v + 22848 = k. Does 48 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 PM and 9:29 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = 7*a - 50, -4*a - 18419*p = -18416*p - 38 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 824 and 1030.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1))**(-33))**(-7)*((t**(-1\/3))**40)**(-2\/3) assuming t is positive.\nAnswer: t**(-1999\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t + 4*t = -2*m + 217, -t = -2*m + 205. Calculate the remainder when 207 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 3*p = 4. Let j be 28 - ((-1)\/p + 1). Is (-1 - 0)*j\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 173*x**2 - 422 + 843 - 421.\nAnswer: 173*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 47 + -4210?\nAnswer: -4141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 59454 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/6*((-2)\/(-4) + 5665\/22). Calculate the highest common divisor of 1849 and u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45, 35, 23, 9, -7?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s**2 + 163530*s - 11278809 = 0 for s.\nAnswer: 69, 163461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 7:25 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of p**3\/3 + 7*p**2\/2 + 9*p - 1. Let u be h(-6). Let m = 8 + 1. Calculate the highest common factor of u and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 255*o + 5*v - 15 = 253*o, 3*o = -3*v + 9. Factor -2\/17*r**3 + 8\/17*r + o*r**2 + 0.\nAnswer: -2*r*(r - 2)*(r + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4119 + 512. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1280 and 864?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + 9 - (5 + -4). Differentiate 5*f**4 - p*f**3 + 5*f**3 + 7 + f**3 wrt f.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - 3*w**3 + w - 6 - 2 as l + t*w**2 + x*w**3 + a*w and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8*h**2*t**2 + h**2*t - 39*h**2 - 24*h + 89*t**2 - 4*t - 1040 wrt h?\nAnswer: -16*h*t**2 + 2*h*t - 78*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a - 48 = 2*w, 118 = -5*w + 34*a - 90 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10030146 to the nearest integer?\nAnswer: 3167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-57440)\/(-400))\/(-1*2\/(-20))?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*w - 19*w - 6. Let y be w\/7 - 10\/(-35). Factor y + 50\/3*l**3 + 2\/3*l - 20\/3*l**2.\nAnswer: 2*l*(5*l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 128 + -180. Let w be (-1 + 0)\/((-4)\/s). Let j = 23 + w. What is the highest common factor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 10  (b) -2\/13  (c) -3\/2  (d) -0.27  (e) 5  (f) -104  (g) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -0.01, -4\/7, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 5*m + m + 32, -5*y - 102 = m. Let c(a) = 3*a**2 - 78*a + 17. Let v be c(26). Let f = v + y. Which is greater: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from rzwwwzwowwzwwworwzw.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27\/(-9)*(-4)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -261239\/30 + 8714. Calculate the common denominator of s and -35\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2)\/(a\/(a\/a**(-4))))**(2\/11)*(a**(-2\/11)*a**(6\/7))\/((a\/(a*a*((a\/((a**(1\/4)\/a)\/a))\/a*a)\/a*a))\/a)**(2\/83) assuming a is positive.\nAnswer: a**(14743\/12782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 61836*j**5 - 203*j**3 + 61782*j**2 + 92*j + 1 wrt j?\nAnswer: 3710160*j**2 - 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 4*u - 2*u + 9 = 0, -4*r + 4*u = 0. Suppose 0 = -6*k + r*k. Suppose k = -4*i + 19 + 129. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t + 19. Calculate the least common multiple of 4 and f(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6658 + 11548. What is z rounded to the nearest one hundred?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r + 0*r - 3*r)*(0 + 0 - 2)*(2*r**3 - 2 + 4 - 3).\nAnswer: 8*r**4 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 6 - 2 - y**5 - y**6 - 3. Let g(t) = -7*t**6 - 9*t**5 + 2*t**2 + 9. Let o(i) = 2*g(i) - 18*w(i). What is the third derivative of o(z) wrt z?\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -32599249.94 from -909.\nAnswer: 32598340.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = 16*i + 295, -190*i = -193*i - 3*s + 2 - 77 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 15974.18 rounded to the nearest 100?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 7*r - 490. Let f = r - 47. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 AM and 3:09 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -d6de - -4928?\nAnswer: -8db6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f + 3. Let h = 2 - 2. Let a be p(h). Let s(q) = 12*q - 3. Is s(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -21136013*q**3 - 38210536 with respect to q.\nAnswer: -63408039*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -57.146 times 6.32?\nAnswer: -361.16272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14969, 15003, 15039, 15077?\nAnswer: 15117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1003 - 3?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -40*y**4 + 23*y**4 - y + 0*y + 18*y**4 + 18 - 2*y**3 + 4*y**3 - 15*y**2 as g*y**2 + v*y**4 + a*y**3 + f + m*y and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, 2, 13, 442, 3850 in decreasing order.\nAnswer: 3850, 442, 13, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4516989386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 73*a**3 + 17*a**2 + 3*a + 3. Let w(b) = -219*b**3 - 50*b**2 - 8*b - 9. Let h(d) = -8*u(d) - 3*w(d). What is the third derivative of h(y) wrt y?\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.95500007348 + 2.955. Round n to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 504984, 1009965, 1514946, 2019927, 2524908?\n\"Answer: 504981*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 310 divided by -3\nAnswer: -310\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(2736) + -4*sqrt(2736)) + sqrt(2736) - (-4*sqrt(1216) + -4))**2*-5.\nAnswer: -74560 + 1120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 43*k. Let r(x) = 6272497*x**2. Calculate r(w(b)).\nAnswer: 11597846953*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -57?  (a) 2\/9  (b) 5  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, -13, -11, 3, 35, 91, 177?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2 + 9 - 5 + 2 + 2 + 0 - 1 - 1 + 3 + 0 - 1 + (-2 - 2 + 5)*(-2 - 1 + 1) + 1 - 2 - 1 + 1 - 13 - 3)*(0*z**3 - z**3 - z**3).\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the first derivative of 59*d**3 + 0*d + 65\/2*d**2 - 84. What is the second derivative of q(m) wrt m?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, v: 2, j: 1, p: 1, w: 1, o: 1}. What is prob of sequence vvwo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((1*(sqrt(252) + 1*sqrt(252))*3*-5)**2 + 4)*6.\nAnswer: 4082472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(1*sqrt(204) + sqrt(204)) + -6*(sqrt(204) - -1*sqrt(204)))\/(sqrt(192) - (-4*sqrt(192)*2 - sqrt(192))).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2. Let l be z(3). Let c(n) = -n**2 + 10*n - 7. Let t be c(l). Solve 4*v + 4 = -4*w, 3*v - w = -t*w + 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/10, -5, 3, 2 in ascending order.\nAnswer: -5, -1\/10, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -235*h + 248*h + 5*h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32 and 580855504?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 168937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*s - 13 = 5*s. Let h be -6 - (615\/(-35))\/3. Sort s, -3, h in descending order.\nAnswer: s, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -7*d - 29. Let t be y(-9). Let w(r) = -r - t + 34. Let q(f) = 7*f**2. Give w(q(c)).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -180 + 0*o + 103*o**2 + 467 + o - 216 wrt o?\nAnswer: 206*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 305811424?\nAnswer: 2, 9556607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12730)\/(-1072))\/(-95)*29?\nAnswer: -29\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 104011130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 2*c, 28 = 4*y - c. Let m(w) be the first derivative of -2*w**3 + 1 + 2 + 7 - y*w + 0. Differentiate m(z) wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 4, -8, -3, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*1\/((-56)\/21).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13523746 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 495 + -436. Let k = 347 - s. Is 32 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/(-2))\/((-3)\/(-1062)*-3). Let d = s - -65. Is (27\/3 - d) + (-68)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15737 plus -0.123814?\nAnswer: -15737.123814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 515 divided by -103\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 5. Let m = 42659 + -42657. What is the closest to -0.3 in f, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1921?\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the second derivative of h**5\/20 + 2*h**4\/3 + 7*h**3\/6 - 5*h. Give f(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 - 5. Let k = 26 + l. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**4 + 3*v - 3*v + (9*v**2 - 4*v + 4*v)*(-v**2 + v**2 + 2*v**2) + (2*v**2 - 3*v**2 + 2*v**2)*(-2*v**2 + 0*v**2 + 0*v**2) + v**4 + v**4 - v**4.\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -0*b - 4. Let n(s) = -s**2 - s + 2. Let h be n(b). Solve h = -0*z + 2*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-217)\/(-882) + (-4)\/18. Let c = m - 47\/14. Let v = 8 - 11. Which is smaller: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/194688 and 151\/90.\nAnswer: 973440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -32 (base 7) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 3*c**2 - 2*c**2 + 10*c - 10 - 7*c + 2*c**3 + 3*c. Let d = 8 + -3. Is j(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1 + 0.2. Put h, -3, -2\/3 in decreasing order.\nAnswer: h, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -624770*l - 12880*l**3 + 624770*l.\nAnswer: -12880*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 1960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 4. Let o(a) = 25*a**2 + a + 1. Is o(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00124341 rounded to 5 dps?\nAnswer: 0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.72 take away -0.3?\nAnswer: -13.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.8 - -0.8. Let h = 1\/42 - -1\/7. Let g = 357.22 + -356.22. Which is the smallest value?  (a) g  (b) h  (c) -2\/3  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(2*(sqrt(175) + (sqrt(175) + sqrt(175) + sqrt(175) + sqrt(175)*2 + sqrt(175) + sqrt(175) + sqrt(175))**2) + -3*sqrt(14)\/sqrt(2)*-2).\nAnswer: -67200 - 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 1032 divide 1211797104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/3 - ((-6)\/4 - (-1045)\/990)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 157.63389 to the nearest integer.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 5*k**2 - 2*k + 32. What is the tens digit of p(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3385386 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*r - 72 - 84. What is the greatest common factor of r and 306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710573974 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -19457.9 * 3\nAnswer: -58373.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.2, -2\/3, 6\/19, -16 in decreasing order.\nAnswer: 1.2, 6\/19, -2\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 4*l**3 + 202*l**2 - 102*l + 40. What is x(-51)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -3\/16  (b) -4  (c) -18774  (d) -3\/8  (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/651 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*t**2 - 177577328*t + 3941713427452448 = 0. What is t?\nAnswer: 44394332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 248625 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2116 divided by -23\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 5:33 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 - 35 = -v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 PM and 8:06 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 5812*p**2 + 4 - 5611*p**2 in the form w*p + j + k*p**2 and give k.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 - 9*o - 2. Does 40 divide z(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 5) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8745 - 8675. What is the lowest common multiple of 1\/(-2) - 339\/(-6) and u?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 160 + 13199*t**4 - 4*t - 13200*t**4 + 8*t**3 + 3*t as x + g*t**2 + q*t + o*t**4 + i*t**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 47025 by -285.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, z: 14}. What is prob of sequence hhh?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 2:28 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148907362?\nAnswer: 2, 443, 168067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*f - 5*k, -5*f - k + 25 = -0*f. Suppose -4*y + 13 = f. Solve y*z - z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*r - 35 + 11. Which is the biggest value?  (a) -0.2  (b) -2  (c) r  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/6 - -3*4\/18. Put -1\/4, l, 6, 5 in decreasing order.\nAnswer: 6, 5, l, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 13*q + 8*q**2 + 15*q**3 + 29 - 7*q**3 - 7*q**3. Calculate the remainder when d(-5) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -186 + 190 + -27 + -1 + 11 + -9\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*t = 56*t + 3*b - 46, 82 = -4*t + b. Let x be -2*(-92)\/(-32)*4. Which is greater: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 349889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 7:37 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z - 331 = 7*z + 2*y, 4*z + 3*y - 430 = 0. Find the second derivative of 63*v**2 + 41*v + z*v**2 + 145*v - v**2 wrt v.\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - 15*s**2 + 7*s - 62. Let j be i(16). Let l = j + -43. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2*r + 6. Let x(d) be the first derivative of d**2\/2 - 7*d - 92. Determine 2*h(b) + 3*x(b).\nAnswer: -b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -392, -388, -372, -338, -280, -192, -68?\n\"Answer: b**3 - 3*b - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l\/l**(-17)))\/l*(l\/l**37)\/l*l)\/(l**(-7)*l*l*(l\/(l**(-39)*l))\/l) assuming l is positive.\nAnswer: l**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4220880*b + 8441717*b - 4220840*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3424414 + -112021?\nAnswer: -4041440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 24 = -5. Suppose -2*a = -3*n - b, -a + 5*a + 5*n = -17. Suppose 0 = p - a*p + 12. Solve -5*x = -8*x + p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.001310015 and 0.3.\nAnswer: -0.0003930045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 3 - 3*q - 1 - 2. Let n(s) = 4*s - 4*s - 3*s**2. Give n(j(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 + 5*k - 4. Suppose 5*i - 2*d = -4*d + 9, 3*i = 4*d - 5. Let z be (-10)\/5 - -7 - i. Give b(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 6 - 29 = 0, p + 4*m - 10698 = 0. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 - 4*h**2 + h + 2. Let f be x(4). Suppose -f*c = -5*c - 10. Factor -c*a - 14*a + 50 - 2 + 3*a**2.\nAnswer: 3*(a - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 361 a factor of 152688560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 89.5 - 19.5. Let a = 73 - q. Put -2\/17, 4, a in increasing order.\nAnswer: -2\/17, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*b = 763 - 235. Let k be b\/(1\/(-15)*1). Let o = k + -390. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 264995564 to the nearest integer?\nAnswer: 16279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((48\/15)\/(-4))\/((-42)\/35).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 126 and 90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 369.9975 seconds?\nAnswer: 369997500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 5*d = 6*d + 316, 0 = s + 5*d - 84. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 5 = -k, -5*m + 4*m - k = -5. Let d = 25 - 20. Are m and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (6 + -4 + (-9497)\/2)*(-26 - -24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 175\/13397802 and -73\/1122.\nAnswer: 13397802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 - 6*m**2 - m + 8. Let q be s(-6). Let l(f) = f**3 + 54*f**2 + f + 53. Let v be l(-54). What is the tens digit of v\/7 + 1822\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -89 or 6?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that u**3\/5 - 262*u**2\/5 + 9281*u\/5 - 1804 = 0.\nAnswer: 1, 41, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3448*x**4 + 4705*x**3 - 26166752*x**2 wrt x?\nAnswer: 82752*x + 28230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -2 + 25 + -8 + 2 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, 8, 2.\nAnswer: 0, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -674, -1348, -2022, -2696, -3370, -4044?\nAnswer: -4718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-9)\/(90\/(-4)))\/(12\/20505). Let w = l - 712. What is the common denominator of -45\/2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 36*j**3 - 5*j**3 - 2.\nAnswer: -41*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 13.6, -39, 4, -0.05 in descending order.\nAnswer: 13.6, 4, -0.05, -12, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -408\/617 - 10\/1851. Which is the biggest value?  (a) 2  (b) -273  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1561 + 476. Let h(a) = -49*a**2 - 2*a + 1. Let r be h(6). Let p = q - r. Round p to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 4*o - 2238, 0*u - 2*u = 3*o - 1713. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -3.5. What is the second biggest value in 3\/4, x, 11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 AM and 12:59 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2 = -4. Is (c\/4)\/(1\/(-18)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1264, 1281, 1296, 1309?\n\"Answer: -w**2 + 20*w + 1245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -80\/101?\nAnswer: -80\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 91*q**3 + 2*q**2 - q + 3. Let m be -1 + 6 + ((-48)\/(-2))\/(-8). Is t(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -9, -5*f - 24 = -3*k - 3. Suppose k*l + l = 0. Suppose -3*u + u + 12 = l. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 97 - 78. What is the remainder when 63\/2*(5 + 3 + -2) is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4558 and 1467289?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 3*c + 116 = c, 87 = 3*t + c. Let m = 31 - t. Suppose 3*f - 5531 = 2*z, m*f - 3*z = -f + 5526. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3902 at most as big as 3902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 184121*q - 52 - 91865*q - 92257*q.\nAnswer: -q - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 - 2*k**2 + 2. Let w be v(2). Let d(h) = 2*h - 1. Let l be d(1). Differentiate -3*p + 2 + l - w wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33, -249, -815, -1905, -3693, -6353, -10059, -14985?\nAnswer: -21305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 100 + -96. Suppose -z*g = -4*j + 2536, 4*g - 629 = -0*j - j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18)\/(-5)*(42\/(-12) - 1066\/(-312))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 9*h = 368. Let n = h - 174. Solve 8*i - 3*i + n = -2*r, 5*r - 25 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -623, -626, -631, -638?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -160, 5, 170, 335, 500, 665?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 161*w**3 - 33*w**2 - 9*w + 12. Let z(r) = -40*r**3 + 8*r**2 + 2*r - 3. Let l(m) = -2*a(m) - 9*z(m). What is the third derivative of l(j) wrt j?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 494 a factor of 337534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3*c - 15 = 0, -4*a - 18 = -5*c - 85. What is the smallest common multiple of a and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24300, 48548, 72770, 96966, 121136?\nAnswer: 145280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 724 is divided by 218.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 15*w**4 - 3*w**3 + 3*w**2 + 6*w. Let k(z) = -z**4 + z**3 - z**2 - z. Let o(t) = -c(t) - 3*k(t). What is the second derivative of o(q) wrt q?\nAnswer: -144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 602 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 3*i = 1 - 9, -k - 2*i = 9. Let y(h) = -6*h**3 + 40*h**2 + 5*h - 11. Let b(z) = -z**3 + 8*z**2 + z - 2. Let r(l) = k*b(l) + 2*y(l). Calculate r(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 + 3*m**2 - 4*m + 2. Determine f(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 + 19*m**2 + 24*m - 38. What is the hundreds digit of h(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 5*b + 11834 = 11825, -2*b = -4*y + 54 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18 and 490662?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 39896254*b**2 - 24108578.\nAnswer: 79792508*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 5*f**2. Let a(j) = j**2. Give h(a(r)).\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + -1 + 13 + 0 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that n**4\/3 + 13646*n**3\/3 + 9096*n**2 = 0.\nAnswer: -13644, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 56, 65, 76, 89, 104, 121?\n\"Answer: h**2 + 6*h + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1565113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1265, -1255, -1245, -1235, -1225, -1215?\n\"Answer: 10*j - 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 132, 121, 110?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3\/4, 0.3, 1893?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (68\/(-153) + (-74)\/36)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3310844, 3310847, 3310852, 3310859, 3310868?\nAnswer: 3310879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 300\/1001 - 2\/143. Sort t, 28, -0.3 in descending order.\nAnswer: 28, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 471 * 0.04\nAnswer: 18.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-942.\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1033*o**3 + 3 - 3172*o**3 + 1051*o**3 + 1036*o**3.\nAnswer: -52*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 5*p + 5 = 4*p, 5*g = -4*p + 7. Let x = -3.313 - -0.253. Let a = -3 - x. Put -0.3, g, 0.5, a in decreasing order.\nAnswer: g, 0.5, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-327)\/(-8))\/(-28*4\/(-10816)). Let l = 3949 - u. Find the common denominator of -67\/4 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1776 - 17*q - 224 + 74*q.\nAnswer: 57*q - 2000","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 3\/5, -148, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14?  (a) -4\/9  (b) 0.19203  (c) 4\/7  (d) 2\/13  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 - 24\/(-9))*5643\/18. Do 207 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - 27?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c. Let u(v) = 2*v + 2. Let w(g) = 4*b(g) + u(g). What is the tens digit of w(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(3\/19)\/(l**(2\/31)*l) assuming l is positive.\nAnswer: l**(-534\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 14\/63 - (-12)\/(-54)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 321, 637, 953?\n\"Answer: 316*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 + 3*q**3)*(1 - 4 + 5)*(0*q + q - 2*q).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 4, 6 in ascending order.\nAnswer: -8, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**2*j**3*w + 165*f**2*j**2*w + 3*f**2*j**2 - 61918*f*j**3*w**2 - f*j**2*w**2 + 2*f*j + 9*j wrt j.\nAnswer: 6*f**2*w - 371508*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 4*c**3 - 23*c**2 + 4*c - 33. Determine p(7).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 5*n + 7. Let i(l) = -l - 1. Suppose 2*t + 11 = j, -5*t + 3*j - 32 = 5*j. Determine t*i(y) - v(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1105860.\nAnswer: 2, 3, 5, 7, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*u + 459 + 477 + 2176 + 263 = 0 for u.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -859567 - 2?\nAnswer: -859569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1581)\/(-9) - (-4)\/(-6). Suppose -2*j - 41 = 3*q - 4*q, 0 = -4*q - 3*j + k. Calculate the remainder when q is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*b - 25*b + 26 = 3*j, -2*j = b - 12. Suppose 4*g + 3*z - 30 - 281 = 0, -3 = -3*z. Calculate the remainder when g is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-4\/3)\/(b\/(b\/(b*b*(b**0*b)\/b*b))))**11 assuming b is positive.\nAnswer: b**(-143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 1169 = x, -4*x = 4*b - 8*b + 1164. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence svxx when four letters picked without replacement from {s: 6, k: 2, p: 4, v: 1, x: 3}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 154*g - 379*g - 94*g + 18*g**2 - 451*g.\nAnswer: 18*g**2 - 770*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 24 * 190.\nAnswer: 4560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -4*z + 12. Calculate d(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3 + 400*w**2 - 10416*w.\nAnswer: -w*(w - 372)*(w - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 18 = p + 10, -3*n + 2 = 4*p. Suppose 0 = 4*j - n*j + 6. Suppose -j*u = -1 - 14. Solve -u = -2*k - 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.99808 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.079 times 0.11\nAnswer: 0.00869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 232 = -t, 68*o - 4*t = 65*o + 217. What is the remainder when 1814 is divided by o?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 75042, 75315, 75588, 75861, 76134, 76407?\nAnswer: 76680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1.6  (b) -0.3  (c) 7  (d) -3\/28  (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/3  (b) 2398  (c) -2  (d) -157  (e) 5  (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 59, 180, 413, 794, 1359, 2144, 3185?\nAnswer: 4518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 45*p**4 - 4*p**4 + 3*p**4 - p**4 + 0*p**4 - p**4 + (p**3 + p**3 - p**3)*(-p + 0*p - p).\nAnswer: -50*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-56*p**3 + 292*p**2 - 292*p**2)*(-8*p + 2*p - 2 + 8*p) to the form g*p**2 + j*p + b*p**4 + f + h*p**3 and give h.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c**5\/5 - 52*c**4\/5 - 336*c**3\/5 + 224*c**2 + 3040*c + 4800 = 0. What is c?\nAnswer: -10, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3\/((-33)\/2))\/(4\/(-44)). Suppose 0 = -y*w - 101 + 105. Solve -3 = w*b - 1, 5*b = -5*z - 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*y - 12 = -33*y. What is the least common multiple of y and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pf when two letters picked without replacement from cpafpcmpmfmpopf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 + 5*w + 45. What is i(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = 5*m - 10*m. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 239 and 152960?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -984 = 72*p + 51*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -193 + 200. Suppose 181 - 1861 = -b*k. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (-1 + 1 + (-1 - -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15060 is divided by 4666?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/11?  (a) 131437  (b) -0.1  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -2299*n**3 + 19*n**2 + 17*n. List the prime factors of y(-1).\nAnswer: 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.4 - -1. Let u = 52.72 - -1.28. Let o = u + -54.1. Put q, o, 1\/2 in decreasing order.\nAnswer: 1\/2, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 107, 24, 2\/27, -1\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -110.871 - 0.129. Let g = -110.9 - x. Let u be (-5)\/2*(-12)\/105. Put -0.4, 2\/9, u, g in increasing order.\nAnswer: -0.4, g, 2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/8, 2\/7, -0.382, -0.5 in descending order.\nAnswer: 2\/7, -1\/8, -0.382, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -502945821?\nAnswer: -502945825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 AM and 5:17 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.269 + 145.731. Let h = u + -146.5. Put -0.03, h, -3\/7 in increasing order.\nAnswer: h, -3\/7, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8499 divided by 2833.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-78)\/(-4))\/(180\/(-40) + (-5)\/(-1)). Solve -h*w = -34*w + 2*v - 4, -2*v = -4*w - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.185 + -1.09. Let c = 0.3 - 0.308. Let l = x - c. Round l to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 3*z + 78. Let b(t) = t**2 - 6*t + 5. Let r be b(5). Is v(r) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in eleven eighths of a week?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2. Suppose -3*c = 27 - 30. Let g(b) = b**2 - 8*b + 11. Let a be g(6). Let h(j) = j**3 + j**2 + 2. What is a*h(s) + c*r(s)?\nAnswer: -s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - -10) + (7 - 6). Suppose 37 = 5*p + d. Let -x**5 + 3*x**4 - 12*x**2 + 6*x**4 - 2*x**p = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 133609502 to the nearest integer?\nAnswer: 11559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-198)\/27)\/11*(-6)\/(-9)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3978390567?\nAnswer: 3, 1326130189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.3 and 4033935?\nAnswer: 4033934.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p**4 - 18*p**3 - 45*p**2 - 24*p = 0 for p.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, 3, -1\/9, -109, 4\/65, 1\/3 in descending order.\nAnswer: 3, 1\/3, 4\/65, -1\/9, -2\/9, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 210\/(((-68)\/(-10))\/17). Suppose 325 = -f - 5*s, s - 4 = 1. Let h = r + f. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 163\/(-15) + (-53)\/(1272\/(-264)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 113145, 226360, 339575, 452790, 566005, 679220?\n\"Answer: 113215*s - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.034 times -7.9862\nAnswer: 0.2715308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.21612 + 1.21612. What is the second biggest value in 3\/2, -2\/7, 136, p, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -9, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 17261108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7141455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1042349*d**4 - 7*d**3 + 7004280*d**2 wrt d?\nAnswer: 25016376*d - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13258151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73327 is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*c - 0. What is the tens digit of 13\/(-39) - (-49)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*u**3 - 10692*u**2 + 21392*u = 0. What is u?\nAnswer: -5348, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 - 34*a**2 + 212*a - 36. Calculate o(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Is -1.4 less than or equal to 5738312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/7, 4, 7, 1\/103, 5 in decreasing order.\nAnswer: 7, 5, 4, 1\/103, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 10*z**2 - 27*z - 26. Let y be g(-4). Solve -92 = -30*d - y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/2 and -5\/894?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 551 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 7:52 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -43257338*p**3 - 2*p**2 - 200695918.\nAnswer: -129772014*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 0.2, -0.04, -0.2, -2, 556\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 0*f + 8 = -3*f, -5*j = -5*f. Let r be 3\/j*(-8)\/2. Let v(d) = d**2 + d - 2. Give v(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -70*p + 511. Let r be f(8). Let m(c) = -50*c**2 + c. Let q be m(-1). Let i = r - q. Solve i*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 g when three letters picked without replacement from sgarg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 873932 to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 19 = -59. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/462)\/(4*(-2)\/(-48))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + v + 581 = 3*p, -4*p = -4*v - 452. Suppose -p - 18 = -m. What is the remainder when m is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uxuxuxx. What is prob of sequence uxxx?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 + 16*m + 23. Let b be k(-14). Let c be (-2)\/(3 - (-17)\/b). Find the third derivative of -11*r**c - 3*r**2 - 2*r**2 - 22*r**2 wrt r.\nAnswer: -660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 = z - 99. Suppose z*a - 9*a = 240. Let w = a + 112. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 0.5. Let k = -534 - -533.9914. Let y = 3.9914 - k. What is the second biggest value in -3\/7, 0.6, y, a?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 1, y: 2, d: 3, u: 2, c: 6, r: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**2 - 3*q**3 - 2*q**2 + (-2*q + q - q)*(-2*q**2 + 2*q**2 + 2*q**2) + 3 - 3 + 2*q**3 - 3*q**3 - 11*q - 7*q + 10*q.\nAnswer: -8*q**3 - 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 396 and 395 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/43 + 353772\/13631. Solve -43 = m*z - 173 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*h - 43 + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 222, 1917, 5050, 9627, 15654?\nAnswer: 23137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j + 410 = -374. Let r = -293\/3 - j. Let z = 0.7 + -5.7. What is the closest to 0.1 in -3, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3\/3 - 142*g**2 + 15540*g - 88200.\nAnswer: (g - 210)**2*(g - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 - 95 = -3*o. Calculate the highest common factor of o and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of w**6\/10 - 7*w**5\/20 + w**4\/4 + w**3\/2 + 6*w**2. Suppose s(c) = 0. Calculate c.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 o, and 1 x when three letters picked without replacement from {w: 1, p: 5, x: 5, o: 1}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) -0.044  (c) 0.2  (d) 0  (e) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qfzf when four letters picked without replacement from {q: 1, z: 2, x: 3, f: 10}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-168)\/22 - -8) + 710739\/11.\nAnswer: 64613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -3 - 31 + 46*u**2 - 10*u**2 - 24. Let i(o) = 36*o**2 - o - 62. Let k(q) = 3*c(q) - 2*i(q). Differentiate k(w) with respect to w.\nAnswer: 72*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/104 and 149\/14196?\nAnswer: 28392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1294 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 4*i - 6 - 2, 2*z - 3*i = -9. Solve 0 = 3*c - 5*r - 10, 2 = 4*c - z*c - r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(2*((0 + sqrt(13) + 2 - sqrt(13)) + (sqrt(52))**2 + 1) + 4).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2079 is divided by 426.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((10\/56)\/(-5))\/((-58209)\/312581154). Let i = 14\/19403 + x. Let o = i + -31289\/168. Calculate the common denominator of 65\/8 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -n**4 - 129*n**3*q - 9*n**3 + 661*n**2*q - 12*q wrt n.\nAnswer: -24*n - 774*q - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 2*r - 15. Let u be s(13). Let p(q) = -5*q + 9. Let t(i) = -17*i - 1. Let h(o) = 12*o + 1. Let a(b) = -7*h(b) - 5*t(b). What is u*a(c) + 2*p(c)?\nAnswer: c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -4581 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 416 - 402. What are the prime factors of 6 - (-27)\/6*i?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3\/8 + 84397*b**2\/8 - 222552247*b - 3116765407\/2.\nAnswer: -(b - 42202)**2*(b + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d + d + 0*d + 4*d + 3 - 3 + (-3 - 2*d + 3)*(-3 + 0 + 1).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.33 and -36.\nAnswer: -47.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 + 566?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, -41, 1, 13, -38?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 58, 85, 112?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 5*t + 15 + 5 = 0, 5*c - 3*t - 12 = 0. Let h(m) = m + 9. Give h(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -25 - -28. Suppose n - 2*d = 2*n - 23, q*d = 5*n - 141. Let y be 2\/(-12) - 9\/n. What is the closest to 1.3 in -1\/3, -5, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + -95?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 102544 by 6409.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/177847 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(5 + (5*sqrt(1400)*-2 - sqrt(1400) - sqrt(1400))\/(-3*sqrt(8)\/sqrt(4) + sqrt(2) + sqrt(4)\/(sqrt(8)\/sqrt(4)))) + -5.\nAnswer: 10 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-37932)\/1404 - 270\/(-15795)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 7 - 29*o**2 + 9 - 2 + 31*o**2 to s*o**2 + p*o + u and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -220614, -220587, -220550, -220509, -220470, -220439, -220422?\n\"Answer: -t**3 + 11*t**2 + t - 220625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrxr when four letters picked without replacement from {x: 1, r: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, 0, 17 in descending order.\nAnswer: 17, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -348*n**3 + 392*n**2 + 668*n - 108. Let o(k) = -3*k**2 - k + 11. Let t(y) = -4*o(y) - r(y). Factor t(j).\nAnswer: 4*(j - 2)*(j + 1)*(87*j - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 125 - 84. Let c = l + -43.72. Let r = 3.4 + c. What is r rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32 + 39. Let r = 23 + -9. What is the greatest common factor of n and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -2*g**2 - 3*g + 2. Let i be f(-2). Solve i*r - 2 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let z = -122 - -447. What is the greatest common factor of z and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -390 = 65*o - 0*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 PM and 9:30 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 85, 280, -1\/2?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.97 + -0.13. Let k = -1 - w. Let u = 4 - 6. Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 9*g = -3846. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**5 - 6*f**4 + 4*f**3 + 6*f**2 - 5*f.\nAnswer: f*(f - 5)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 95\/18 + -13\/9. What is the common denominator of 26 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 271\/(((-20)\/(-8))\/((-5)\/(-2))). Let i = u + -264. Solve i*h + 6 + 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -584 divided by -4.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 1:05 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = y - 2. Let s be (y - 11*-1) + 1. Let u = -10 + s. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 6:42 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbbo when four letters picked without replacement from {n: 6, b: 9, o: 4}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 - 347*s**2 + 18*s + 7. Give g(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 105727, 105728, 105731, 105736?\n\"Answer: n**2 - 2*n + 105728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of 0*f**5 + 0*f + 0 + 0*f**3 + 12*f**2 + 1\/3*f**4 + 13\/120*f**6. Find the second derivative of s(z) wrt z.\nAnswer: 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 46308 and 9850548?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = c + 2*c. Factor 1\/5*m**4 + 1\/5*m**3 + 0 - 1\/5*m - 1\/5*m**c.\nAnswer: m*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = -t - 3*t - 0*q - 2*q - 3*q, 3*q = 342*t + 101*t - 877 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 + (-4)\/3)*-12. Suppose -y*w + 6*w + 8 = 0. What is the units digit of (-46)\/(-8) + (-1)\/w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + m + 0)*(92*m + 3*m + 4*m) as n*m + r*m**2 + k and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -21616 - -21619. Let m(b) = 2*b - 7. What is m(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oh when two letters picked without replacement from {o: 2, k: 5, h: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -16\/73?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 + 7*d. Let f be i(6). Suppose -f*r + 60 = -2*r. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2603*v**3 - 235*v**3 + 17*v**3.\nAnswer: -2821*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 - 3*y**2 + 5*y + 6. Let n be c(-4). Solve -q = 4*q + s - 24, n*q = s + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30 (base 13) to base 4\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.02 times -32698\nAnswer: -653.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = g + 1676, -u + 213 = -4*g - 206. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**2 + 6*z. Determine u(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(65) - sqrt(65))*-3 + sqrt(65))\/(sqrt(5) - ((-1*sqrt(180) - sqrt(180)) + sqrt(180))).\nAnswer: sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 5*c - 16 = -72, -5*c - 90 = -5*f. Calculate the remainder when 67 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 = -b + 3*v + 16, 0 = 18*b - 5*v + 226 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6512689 is divided by 340.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + -19 - (-7 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of 4*j - 4 - 1\/3*j**3 - j**2. Let w be b(0). Solve w*l = m - 2, -1 = -3*m + 2*m + 3*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*n**2 + 2*n**2 - 4*n**2 + (1 - 2*n - 1)*(-n + 0*n - n) + (-242*n + 30*n + 107*n)*(-1009 + 47*n + 1009).\nAnswer: -4929*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(204)*-3 + 5*-1*sqrt(204))*-5)\/(((sqrt(264) - (sqrt(264) + sqrt(264)*1))\/sqrt(11) - sqrt(24))\/(sqrt(6)\/(sqrt(6)\/sqrt(2)))).\nAnswer: -55*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1427 is divided by 487.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 88.12737 centimeters?\nAnswer: 0.0008812737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + j - 445, -2*b + 95 = -b - j. What is the highest common factor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7342 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 2  (c) -4  (d) 35\/2  (e) -2999\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -3*a - 2. Let x(d) = 85*d + 40. Let m(g) = 21*g + 10. Let v(y) = 25*m(y) - 6*x(y). Determine 11*t(w) + 2*v(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/34 and -13\/2764?\nAnswer: 46988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-9)\/(-198))\/(2\/(-24)). Let b = -7\/33 - w. Factor -1\/3*s**2 - b + 2\/3*s.\nAnswer: -(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 179, 356, 537, 722?\n\"Answer: 2*h**2 + 171*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-1)*n**(1\/6)*n**(4\/3)*(n\/(n\/n**(-1))*n*n)\/n*n*((n*n**(-1))\/n*n\/n**(-2\/3))\/(n**(-2)\/n)**(2\/83) assuming n is positive.\nAnswer: n**(1115\/498)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 137784 by 4.\nAnswer: 34446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 2*n + 148 = 0, m + n - 35 - 1 = 0. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yvvbvbvyvbvbbvvv. Give prob of picking 1 v and 3 b.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 1:08 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 4*x + 8. Suppose -1 = 2*m + 5. Sort x, m, 0 in descending order.\nAnswer: x, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 160823\/701116 - (-2)\/97.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*2*8\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 5, w: 3, z: 1, a: 3}. Give prob of sequence wjj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 5:00 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (5 + -5)*((-55)\/(-15) + -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**2 + 143*n + 48.\nAnswer: -(n - 48)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 45 - 318\/7. Let q be 8\/12*-9 + 23\/4. Sort a, q, 1\/7.\nAnswer: a, q, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -113 - -191. Suppose f*t = 81*t - 93. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2 + 463611*u + 37572174.\nAnswer: -3*(u - 154618)*(u + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**1\/(u*(u**(6\/5)*u)\/u))\/(u*u\/(u\/u**(-2\/11))*u*u)**(7\/4))**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 104 and 137565688.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-44)\/20 - (-1)\/5 - -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2441910?  (a) 2\/5  (b) 4  (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9143064?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.76, 26, -0.4, 4, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1179, 1168, 1159, 1152, 1147, 1144?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {x: 2, n: 2, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21330 by 237.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12880711 is divided by 143?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -17.1947 to 0 decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.9?  (a) 13  (b) 1\/8  (c) 2\/9  (d) -455\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 - (0 - -49 - 2). Let g = i - -51. What is the second derivative of w**5 - 7*w**g + 8*w + 4*w + w**5 wrt w?\nAnswer: -100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 41112*k - 29349.\nAnswer: 41112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5147 less than 7649892?\nAnswer: 7655039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 132178301 and 246.\nAnswer: 793069806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 9, -14, -5\/3, -7\/2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/70800 and 187\/49560.\nAnswer: 495600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 116 and 1073.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 34846944 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 446 is divided by 148.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 59, 107, 151, 179, 179?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 + 8*d**2 - d + 36. Give i(9).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 - d**2 - d - 1. Let s(a) = -11*a**3 + 61*a**2 - 44*a - 64. Let i be (-3 - -5)\/(-2 + 4). Let m(b) = i*s(b) - 4*l(b). Factor m(v).\nAnswer: -5*(v - 3)*(v - 2)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48*(-36)\/3024*7\/230)\/((-2)\/(-60)).\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2, 3, -47 in decreasing order.\nAnswer: 3, 1, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (((sqrt(35)*-2 - sqrt(35))*1 + sqrt(175)\/sqrt(80))\/(3*sqrt(112)*-3))**2.\nAnswer: 605\/20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of 0*f**3 + 0*f - 2 + 0*f**5 - 1\/6*f**6 + 0*f**4 + f**2. Find the second derivative of i(y) wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k*k*k*k**(-1\/18)*k)*(k\/k**(-1\/3))\/k*(k**(-9)*k)\/k**(-6))**(-23) assuming k is positive.\nAnswer: k**(1495\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1025 (base 7) to base 14.\nAnswer: -1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + d = 0. Suppose d = -4*s - 1 + 5. Let j = 0 - s. What is the third smallest value in j, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 4\/39  (b) -1\/2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -123 - -600. Suppose -85 = 4*w - x. Does 52 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 385*f**3 - 49*f**2 + 49*f - 49. Let u(x) = 16*x**3 - 2*x**2 + 2*x - 2. Give 2*l(k) - 49*u(k).\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 642118250 a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 0*c + 7*c + c. Let v(l) = -3*l. Let o(g) = 3*g. Let r(a) = -5*o(a) - 6*v(a). Determine n(r(h)).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 258 + 106. Let k = 448 - y. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20693191\/5236 - 67180\/17. Calculate the common denominator of 113\/264 and f.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.17 less than 14?\nAnswer: 14.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of z**3\/3 + z + 15. Let j(y) = 3*y**3 - 5*y**2 - 6. Determine -j(r) - 4*x(r).\nAnswer: -3*r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 65, 218, 371, 524, 677?\n\"Answer: 153*c - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4547 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 4*q + 50, 0 = -5*f - q - 25. What is the remainder when (f\/(-5))\/(18*13\/31200) is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**1)\/q*q\/q**(-4\/17)*(q*q**(1\/3)*q)\/q*q**5 assuming q is positive.\nAnswer: q**(437\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -691*h + 11766. What is a(17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/4, -3, 0.5, 1\/6 in decreasing order.\nAnswer: 9\/4, 0.5, 1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -8 + -61722355?\nAnswer: -61722364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -967?\nAnswer: 5\/967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2 - 16*u**2 + u + 3 - 14*u**2 + 29*u**2. Let w(d) = -d - 6. What is -5*w(k) - 6*z(k)?\nAnswer: 6*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -103 + 103 - 1855*m + 16501*m to the form s*m + z and give s.\nAnswer: 14646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 5*l - 87675, -4*a + 58443 = -2*a + l. Suppose 0 = 5*p + 7*p - a. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 605100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 + q**2 + 3*q - 3. Let d(u) = u**3 + 6*u**2 - u - 4. Let z be 18\/8*(-16)\/6. Let s be d(z). What is the units digit of v(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 + 12*z + 1. Let y be q(11). Solve -3*o - 3 = -y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 6  (b) 1  (c) 2  (d) -3  (e) 1014\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 16*s**4 + 7*s + 3*s**5 - 9*s**3 + 24*s**2 - 19*s - 22*s**4 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**(-1\/2))\/x)**(-8))**(-1\/17)*((x**(-4\/5)*x*x)\/x)\/x**(2\/9)*(x**(-2\/7))**(4\/11) assuming x is positive.\nAnswer: x**(-21289\/58905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1077, 2185, 3305, 4437, 5581, 6737, 7905?\nAnswer: 9085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -74*s**2 + 1137*s - 407. What is o(15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/7*(-4)\/(2\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 73, 3, 1, 6, -1 in decreasing order.\nAnswer: 73, 6, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -0.06, 0.1, -1\/3, -14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35535620 divided by 5.\nAnswer: -7107124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -492 = -11*c + 5*c. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from evvoivofffa.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21002973 - 21002973 - 326*m**3.\nAnswer: -326*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -258*h**3 - 258*h**3 - 319*h**3 + 824*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7063 and 1155.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 107 - 99 - (-1 + 1 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and 135?\nAnswer: 40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -57 - -56.882. Let w = -1.142 + g. What is w rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53116 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 14 - 1 = 3*w, -4*w - 3*l = 0. Suppose w*p - 7*p = -2164. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(425) - (sqrt(425) + (sqrt(425) - (1 + sqrt(425)*2))) - sqrt(425))*2 + -5)*5)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -6*z + 141. Let h(c) = -29*c + 709. Let o(s) = -11*d(s) + 2*h(s). Differentiate o(y) with respect to y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -15*l**2 + 11*l - 6. Let h(b) = -5*b**2 + 4*b - 2. Let x(t) = 8*h(t) - 3*u(t). Let j be x(-4). Let k = j + 41. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 PM and 10:10 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of -p**2 + p + 428. Let d(s) = 5*s - 2. Let h(l) = -l**2 + 15*l + 3. Let z be h(15). Determine z*d(i) + 8*a(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1481192*g**4 - 8*g - 316311?\nAnswer: -17774304*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of -o**5\/20 + o**4\/3 + 2*o**3\/3 + o**2 - 17*o. Suppose 0*v + 5*v = 100. Suppose 15*z = 11*z + v. Give b(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2123821833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g. Let z(a) = -10*a + 1. Let n(l) = -6*w(l) + z(l). Let c(r) = 9*r - 3. Calculate -3*c(x) - 7*n(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 6 + 12)*(-79 - 136 + 112)*(-3*q - 2 + 2 + (-1 - 1 + 0)*(2*q + q - 4*q) + 0*q + q + q - 3*q + 3*q + 2*q + 7*q - 3*q - 3*q).\nAnswer: -1648*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the third derivative of -5*z**8\/288 + 475*z**7\/126 - 11009*z**6\/48 + 13333*z**5\/18 + 22445*z**4\/36 + 2*z**2 - 277. Determine h, given that t(h) = 0.\nAnswer: -2\/7, 0, 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*s - 2*a + 5 - 105 = -7*s + 47, 0 = -2*s - 119*a - 7864 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9887 + -6706. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-1 + (sqrt(475)*2 - sqrt(475)))**2.\nAnswer: -10*sqrt(19) + 478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 - -2 - 4)\/(25\/10 + -2). Solve -3*b = 0, -23 = v*s - b - 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -4771*j - 13454. Let n(k) = 14315*k + 40354. Let q(w) = -3*n(w) - 10*z(w). What is the first derivative of q(h) wrt h?\nAnswer: 4765","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1504509?\nAnswer: 3, 501503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 10401, 20800, 31199, 41598, 51997, 62396?\n\"Answer: 10399*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/1484 and -69\/2968.\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:10 PM and 12:36 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 5*h**2 + h**3 - 1 + 3*h + 4*h - 3 - 4*h. Let l be i(-3). Which is the third biggest value?  (a) 3  (b) l  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -12\/2045051 and -89\/2908.\nAnswer: 8180204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 8 = 22. Is 5 a factor of 6\/(-18) + 56\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1698600380\/114 + (-4)\/(-6). Suppose 4*s - 8*d + 11*d = -59599997, s = 4*d - p. Round s to the nearest one hundred thousand.\nAnswer: -14900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1973.\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 57\/2450 and 39\/63626?\nAnswer: 77941850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a second in milliseconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 1:03 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 108 and (72\/(-5))\/(38\/(-190))?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 77 + -63. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106443 = 2*r - 5*h, -3*r + 130*h - 126*h = -159633. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -291992570 rounded to the nearest 1000000?\nAnswer: -292000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s + s - 3*s)*(-2*s + 2*s - 2*s) + (2 - 4 + 1)*(s - 4*s**2 - s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of -7*r**4\/24 - r**3\/6 + 4*r**2. Let d be o(-5). Let l = -9457 - -9491. Calculate the greatest common factor of l and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 take away 1585386.03?\nAnswer: -1585385.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -12, 2, 50, 150, 320, 578?\n\"Answer: 3*z**3 - z**2 - 4*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -5  (c) 3\/4  (d) -107  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 4*x = -1 - 7, -2*x = 3*l - 20. Suppose 4*f - 474 = -l*a - 54, -3*a - 549 = -5*f. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.958 + -0.042. Let c(a) be the second derivative of -a**3\/6 - a. Let o be c(-4). What is the smallest value in j, o, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 285 = -2*x + 5*s, 2*x - 2*s = 4*x + 250. What is x rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, w: 1, l: 1, q: 2}. What is prob of picking 2 a?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20.145132us to minutes.\nAnswer: 0.0000003357522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is b1168 (base 12) in base 2?\nAnswer: 111000001010100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5562567?\nAnswer: 3, 206021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + -12 + -8 + 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 226, 947, 2150, 3835?\n\"Answer: 241*z**2 - 2*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -4.9. Which is the nearest to 1?  (a) 0  (b) 3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*d**3 - 2*d + 0*d**3 + 0*d**3 - 24*d**3 - 10*d**3.\nAnswer: -27*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 72206 divided by 20?\nAnswer: 36103\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/9 - 186\/9. Let u = 19 + v. What are the prime factors of (4\/(-6))\/(u\/54)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1362 - 1316?\nAnswer: -3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (14\/(-1))\/(6*(-4)\/48). Let y = 113 + -29. Calculate the greatest common factor of r and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 320259, 3\/28 in ascending order.\nAnswer: 3\/28, 2, 320259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/11  (b) -1  (c) 0.38  (d) 3  (e) 0.05857\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2, -18, -68, -160, -306?\n\"Answer: -2*g**3 - 3*g**2 + 3*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 239*k - 59*k - 79*k - 84*k.\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/(-10))\/(10\/13200). What is the greatest common factor of 33 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1439 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2751 (base 13) to base 9\nAnswer: -7660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -116 + 3?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*g**2\/5 + 609*g\/5 + 54 = 0. Calculate g.\nAnswer: -18, -5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 15\/(-2)*12\/(-18). Suppose i*r = 232 + 38. List the prime factors of r\/5 - 1\/(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -476, -463, -440, -407, -364?\n\"Answer: 5*d**2 - 2*d - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/((n\/((n*n*n**(-1\/19)\/n)\/n))\/n*n*n)*n*n**(-23\/4) assuming n is positive.\nAnswer: n**(-441\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxxxxxxjxxxxxxxxjx. What is prob of picking 1 x and 2 j?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -18.8 - -18.5. Which is the closest to 11?  (a) -0.2  (b) 0.2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -b8 + 1?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0*(-3)\/(-9) - -3. Suppose -j - n = 3, 32 = -5*j + 2*n + 10. Let z be 56\/(-63)*(-3)\/j. Sort c, -4, z in increasing order.\nAnswer: -4, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4707233?\nAnswer: 4707233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 11*(-40)\/(-330)*210\/40?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 511*f**2 + 1150*f + 256.\nAnswer: (f + 2)*(511*f + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -23681?\nAnswer: 7104.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o + 2225 = 15*o. List the prime factors of o.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1186\/10 + (-7)\/(70\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6421.4 rounded to the nearest one hundred?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3882*t**2 + 17619*t.\nAnswer: 7764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 62*u - 20. Let z(b) = 61*b - 24. Let x(c) = -6*v(c) + 5*z(c). Let w(r) = -r**2. Give w(x(d)).\nAnswer: -4489*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -204.98?  (a) 2\/11  (b) 151  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 52 and 13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 9*s, x = 4*s - 384. Are x and -384 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 x, and 1 r when three letters picked without replacement from {t: 1, x: 2, g: 1, r: 4, p: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-18)\/10)\/(-3)*-35. Calculate the least common multiple of 2\/7 + (-15)\/x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(4\/15)*f**(-2\/19)*f**(7\/9)*f*f\/(f\/f**(-8\/9)))**(2\/45) assuming f is positive.\nAnswer: f**(3506\/38475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1482*t**6 - 7*t**5 - 257603*t**2?\nAnswer: -177840*t**3 - 420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8397 - -8394. Let a(o) = -49*o - 152. What is a(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = q + 2*m, 9*q + 2*m = 4*q + 24. Suppose 6 = -2*j + q*j. What is the third derivative of -5*x**5 - 2*x**6 + x**2 - j*x**6 + 5*x**5 wrt x?\nAnswer: -600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 - -9. Let y = j - -6. Suppose -y*k + 39 = 3. Calculate the remainder when 15 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (18\/4 + -4)*-6. What is the common denominator of (-45)\/25 - n\/4 and 13\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 - 22. Suppose 5*q - 1 = -108*g + 107*g, 3*q = -2*g + 2. Put 1\/8, -0.2, b, q in descending order.\nAnswer: 1\/8, q, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32961*r = 33053*r + 3956 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19777957.\nAnswer: 53, 103, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 196*m - 855 - 321 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1057, 1086, 1127, 1186, 1269, 1382, 1531?\n\"Answer: h**3 + 22*h + 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of a**2\/2 - a - 15. Let d(v) = v**3 - 5*v + 6. What is d(p) + 5*q(p)?\nAnswer: p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 138522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -687*j**2*n + 2736*j**2 wrt n?\nAnswer: -687*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(2736) - (-1 + sqrt(2736))*6) + -4 + -2)*2)**2 + 2.\nAnswer: 6840002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3048*o - 1557 + 6143*o - o**2 - 3093*o)*(2*o**3 + 0*o**2 + 0*o**2)*(0 - 1 - 1).\nAnswer: 4*o**5 - 8*o**4 + 6228*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.859979411 rounded to 2 dps?\nAnswer: 2.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-19)\/(-1)*(1 + 0). Let k = v - 6. Calculate the highest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the third derivative of 1\/6*p**5 - 2*p**2 - 1\/8*p**4 + 0 + 0*p + 0*p**3. What is the second derivative of n(m) wrt m?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/7  (b) -2  (c) -11\/3  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**4 + 2*g**4 + g**4)*(-4*g + 3*g + 3*g).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -26305546 (base 7) to base 10\nAnswer: -2405395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -75 + (1 - (-46 + 32)) - 1?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 34985.871 take away 2529?\nAnswer: 32456.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -505, -1005, -1503, -1999, -2493, -2985, -3475?\n\"Answer: m**2 - 503*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 PM and 10:44 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-26)\/(-6))\/(-4 + (-219)\/(-54)). Let z = t + -78. Let b(n) = n**3 + n**2 + n - 8. Give b(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 52 + -76. Let x be (1\/(-3))\/(2\/w). Let d(i) = 3*i**2 - 37*i**3 + 4 + 36*i**3 + 4*i - 6. Calculate d(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -9*i**3 + 2*i**2 - 2*i + 1. Let b be q(1). List the prime factors of (20\/b)\/((-2)\/12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22 + -21)\/(7\/(-4) - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 - 8*s - 9. Let v be f(-6). Let l be (60\/16)\/v*20. Let j be l\/68 - (-2)\/(-8). Which is bigger: j or -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/1 + 0 - (-50)\/40*4. Let h(z) be the second derivative of 0*z**2 - 1\/6*z**4 + 32*z + 0*z**x + 0. Let d(q) = -12*q. Calculate d(h(t)).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 210 a factor of 78861206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.017 times 0.6?\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 2*d + 17. Let y be k(-8). Let c(i) = -2*i + 5. Let x be c(5). Let q = -4 - x. Is y > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - -16eb76?\nAnswer: 16eb71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*q - 3*n + 27, 18*n - 7 = 2*q + 15*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -312 - -319. Sort -3, h, 1 in descending order.\nAnswer: h, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 (base 7) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d5118 - 28b?\nAnswer: -d53a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -40953, -34611, -28269, -21927, -15585?\n\"Answer: 6342*p - 47295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8907*u - 105016 = 10820*u + 143674 for u.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 2*l = 0. Let o = -0.1 + -3.9. Let i = -4.1 - o. What is the closest to l in -4, 5\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 40 and 1470.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 7\/171965963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -538 in 2, -1, 3\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 plus -1051?\nAnswer: -1051.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-84)\/(-336)*((-30)\/9)\/5.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -341 + 341. Solve 31*i + 3*i + 136 = s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rjgryrgggrrrrggrr. What is prob of picking 1 g and 1 j?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 + 14*b**2 - 13*b + 8. Let y be l(-15). Let g be 3\/(12\/y*(-6)\/48). Let z = 49 - g. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 (base 3) in base 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 43 - 44. Which is smaller: 6\/29 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*i - 4 = 56 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 - -11. What is the remainder when c is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -3*b**3 - 11*b**2 - 11*b - 104. Suppose 0 = 4*x - 828 + 860. What is the tens digit of o(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1537 divided by 20?\nAnswer: -1537\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02415878 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 39*r - 191*r + 12312. Solve 0 = r*l - 63*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -14\/3 and -32\/363.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 23 - 11 = 0. Let x(o) = -16*o + 10. Let a(h) = 7*h - 4. Let s(p) = -9*a(p) - 4*x(p). Calculate s(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23 is divided by 10*(45\/10 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q**2 - 97*q**2 - 99*q**2.\nAnswer: -194*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 2*a**2 + 1468*a - 181872 = 0.\nAnswer: -842, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -2*y**4\/9 - 2*y**3\/9 + 4*y**2\/9 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(264)\/sqrt(8))\/sqrt(3))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 7*h**2 - h - 13. Suppose 6*r + 3 = -15. Let p be f(r). Suppose -p*k + 124 = -49*k. What is the remainder when k is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = z + z - 22, z - 5 = h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1684\/14 - (-78)\/(-273). What is the greatest common divisor of 18 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 52.8 and 0.7.\nAnswer: 53.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the third derivative of 2*b**7\/35 + b**5\/12 - 4*b**2. Find the third derivative of t(r) wrt r.\nAnswer: 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -31*h + 3. Let c be x(1). Let u be (-4)\/12*c\/(-6). Let i = -13 - -10. Is u equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3280 less than 3280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*p**3*q*t**2 + 16*p**3*q*t - p**3*t - p**2*q*t + 2236*p*q*t**2 + 17*q*t wrt t.\nAnswer: -4*p**3*q + 4472*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 7\/4, -4, -1\/21, 0.3?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -163\/1885296 and -121\/134664.\nAnswer: 1885296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sgd when three letters picked without replacement from {d: 3, g: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2*(-3)\/6*-7 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a - 4. Let d be f(7). Suppose y - 28 - 12 = 0. Suppose m - y = -2*j, -2*m - 3*m + 186 = d*j. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -80 + 83. Solve -b*j - 4 = -19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38661.\nAnswer: 3, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 57 and 574176.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3237 - -25361. List the prime factors of w.\nAnswer: 2, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3123 and 13707?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 10:30 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.08, -8500, 1\/9, -0.496 in decreasing order.\nAnswer: 1\/9, -0.08, -0.496, -8500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*f**2 + 10*f**2 - 108 + 114 with respect to f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 276482?\nAnswer: 2, 138241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/(-11)*(-96)\/(-288). What is the closest to 2 in y, 0, 2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from waaavkv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of -f**8\/672 - f**7\/7 - 479*f**6\/120 - 29*f**5\/2 - 841*f**4\/48 + 3*f**2 - 29. Factor i(p).\nAnswer: -p*(p + 1)**2*(p + 29)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 102338119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7494 - (-14 + 12 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/(-80) - (-17 - -16) and 27\/2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 29280 and 600.\nAnswer: 146400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 15) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, o: 12, z: 3, q: 1}. Give prob of picking 1 o and 1 q.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + 14*j**2 + j + 26. Let m be u(-14). Suppose -3*s = -s + m. Let n(x) = 2*x + 20. Calculate the remainder when 63 is divided by n(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 487\/594 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 37*w**3*z**5 + 290*w**3 + 422*w**2*z**4 + 131*w*z**2 wrt z?\nAnswer: 2220*w**3*z**2 + 10128*w**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 - (2 - 6))\/1. Solve 3*o + 2 = -r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117*w + 339 + 363 = 171*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 175\/83 + -2277\/332. What is the closest to 2.2 in -0.2, -3, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*y**4 + 98*y - 98*y)*(-188 + 98*y + 188).\nAnswer: -1078*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.75 + -0.25. Let s = -2 + -6. Let i = s - -11. What is the nearest to v in -1\/6, 2, i?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 3*v + 40. Suppose -2*q + v = -q. What is q rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, 0.2, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -4*w + 43. Let a be t(10). Let r be (8\/a)\/((-32)\/(-12) + -2). Solve -2*x + 6*x = r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-7)\/((-4)\/(48\/(-15)) - 27\/20). Calculate the highest common factor of j and 16590.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(48) + sqrt(1728) + 4 - (sqrt(48) + (-3*(sqrt(4800) + sqrt(48)))**2 - sqrt(48)).\nAnswer: -52268 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 41 = -27. Suppose -b*m = -5*r - 1459, -2*m + 2172 = m - 2*r. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 5*z**2 + 3*z + 2. Calculate a(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25421?\nAnswer: 11, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-1)\/y*y*y)**21*(y*y**(-1)*y)\/y*y**(2\/13)*y assuming y is positive.\nAnswer: y**(288\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -2*s - 1 + 1. Let j(p) be the second derivative of p**3\/3 + 8*p. Calculate d(j(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24 and 52.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -2*c - 35. Let z(l) = -2*l + 5. Let n(a) = 2*m(a) + 14*z(a). Let t(k) = k + 1. Let u(v) = -1. Let f(h) = -t(h) - u(h). Determine n(f(b)).\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 110, 108, 118, 152, 222?\n\"Answer: 2*u**3 - 6*u**2 + 2*u + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -327.45?  (a) 5  (b) 0.0252  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of -8*j**2 + 74*j - 89. What is d(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4\/7  (b) 10  (c) 65  (d) 0.3  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 6600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h + 4 + h + 3*h + 6*h**2. Let y be b(-2). Let u = y + -6. What is the highest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85966304 to the power of 1\/3, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1274250331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 9*p. Let n(d) = d**2 + 4*d + 4. Let g(k) = k**2 + 7*k + 7. Let v(l) = 4*g(l) - 7*n(l). What is v(q(f))?\nAnswer: -243*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10001101101100001000111 (base 2) to base 5.\nAnswer: -2142033022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30324 - 30073. Calculate the remainder when 500 is divided by p.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {x: 1, i: 1, p: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = d + t - 12949, 2*t = 5*d - 16170. Suppose d = 6*k - 2*k. Let j = -180 + k. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 233 = 3*c. Suppose 2*m = -4*r + 286, 7*r - 2*r - 2*m - 353 = 0. Let v = c - r. What is v rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 730 - 223. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -5*i + 7. Give n(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-5)*(-105)\/6. Let i = 0 + s. Let t = i - -30. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a week in minutes?\nAnswer: 11088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 + 5*h**2 - h - 3. What is c(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**3 - 6*z**2 + 12*z + 3. Is o(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118 + 27 = 82*c - 45*c + 205 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -482 = -7*g + 1. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zaqaaiiozzzo. Give prob of sequence qzi.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4620346117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -344.7 + 345. Is 13 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 692321*a*y**4 + 2*a*y**2 + a*y - y**4 + 2*y - 1414 wrt y?\nAnswer: 16615704*a*y - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p - 3*p**2 - 4*p**3 + 10 + 5*p**3 + 2*p**2. Let b(d) = -2*d**3 - 24*d**2 + 5*d + 14. Let o be b(-12). Let h = 46 + o. Calculate a(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -310222 (base 4) to base 9.\nAnswer: -4554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -74.27?  (a) 0.1  (b) -1\/4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 2*j = -129 + 141, 0 = 2*w + 2*j + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 26 and 75699.\nAnswer: 151398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 206 = 15*u - 2*o, u - 2*o - 33 = -23 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/7, -32542, 0.2, 4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k**2 + 2*k**2 - 3*k**2 - 121.\nAnswer: k**2 - 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11491644 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q - 4*q + 4*q)*(-8*q + 23 - 23 + (2 - 1 + 1)*(171 - 171 - 15*q)) - 3*q**2 + 15*q**2 + 6*q**2.\nAnswer: 94*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 5*h - 4*h + 9 = -t, 2*h = -h - 65 - 84 + 164 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2195*k - 776771. What is d(-354)?\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 PM and 5:58 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88 = -2*b + 5*n - 81, n - 1 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -62650 * -171\nAnswer: 10713150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 83271505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.7 and 1960?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -0*w - 2. Suppose 3 = x + 2. Let p be (1 + x)\/w + 11. Solve -3*y + p = 5*t, -y - t + 2 = -1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-2 + 1*sqrt(99) + 1 + (sqrt(66)\/sqrt(6) - sqrt(11)))**2 + -2).\nAnswer: -294 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 PM and 11:46 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -35664523*j**2 + 115907573 wrt j.\nAnswer: -71329046*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 - 1. Suppose 2*l = n*l - 16. Let h(y) = -y**2 + 8*y - 2. Is h(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 36 - 37. Suppose 0*a = -2*a. Put c, a, 1 in increasing order.\nAnswer: c, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 420.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -78532\/18969 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1156844957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x = -5*c - 2 - 2, -5*c + 20*x - 21*x - 16 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 11:41 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(17) + 4 - (sqrt(1377)*4 - sqrt(1377))) + (3*3*sqrt(153))\/((sqrt(54)*3 + sqrt(54))\/sqrt(6)))**2.\nAnswer: -285*sqrt(17) + 154001\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -126, -452, -982, -1704, -2606, -3676?\n\"Answer: 2*a**3 - 114*a**2 + 2*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8421 and 1583759926.\nAnswer: 2807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 81655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + 2. Suppose 2*z - i*z - 3*l = 31, -47 = 5*z + l. Is z bigger than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -41, 13 in ascending order.\nAnswer: -41, -5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wcj when three letters picked without replacement from {j: 1, w: 1, f: 1, d: 1, c: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10355 is divided by 1000?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 701 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 465575 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 646309.3 days to milliseconds.\nAnswer: 55841123520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127 + 13 = 20*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jijijj. Give prob of sequence ij.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 163910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 23*k**2 - 14*k + 24. Let x(u) = -u**3 + 67*u**2 - 43*u + 70. Let f(j) = 7*v(j) - 2*x(j). Calculate f(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1953171 - -6761059. Let l = g + 10362112. What is l rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ztd when three letters picked without replacement from dztctzcddczdccccdzz?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 326, 0.\nAnswer: -2, 0, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3856228 is divided by 118?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + -114441451?\nAnswer: -114441443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -698, 5 in decreasing order.\nAnswer: 5, 4, -698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c. Let s be f(4). Let n(k) = k - 20. Let o be n(9). Let i be (o + 5)*(-1)\/(-10). What is the third smallest value in 5, i, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.25 - -2.2327. Round d to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 106 - 1?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -149\/5 - -30. What is the closest to -0.2 in q, 3, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2790870*4.\nAnswer: 11163480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -27*l**2. Let w(s) = -s + 4*s + 3*s - 4*s. Calculate w(a(m)).\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - 5*a + 50, -a + 3*a = 8. Let b be (0\/(-1))\/(8 + d). Solve b = -5*s + 13 + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 5, e: 3}. Give prob of sequence xx.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 150 = -144. 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 fourth root of 5590 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1101021 - 1121012?\nAnswer: -2222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 308\/(-1386) + 19\/45. Which is the nearest to -0.2?  (a) 4\/7  (b) 1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (5 - 6)*39\/74. Let x = -1\/37 - z. Which is the smallest value?  (a) 0  (b) -13  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 + 3 = 5*g, -57 = -3*j - 2*g. Let w = 3 - -13. What is the remainder when j is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(448) - 1*sqrt(448)) + 2 + -1 + sqrt(448) + -4 + sqrt(308)\/(sqrt(88)\/sqrt(8)*-6).\nAnswer: -3 + 23*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07 + -241267910.54289?\nAnswer: -241267910.47289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -425007445 divided by 1297?\nAnswer: -327685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1202, -1203, -1204, -1205?\n\"Answer: -b - 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15976*i**2*n**3 + 7*i**2*n**2*p**3 + 8*i**2*n*p**3 + 5*i**2*n - 28*i*n**3*p**3 - 5*i*n**2*p + 11*n**2*p**3 wrt n.\nAnswer: 95856*i**2 - 168*i*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.77 take away 2641323622?\nAnswer: -2641323629.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 33886 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -10*d**3 - d**2 + 6. Let k(b) be the first derivative of b**4\/4 - b + 321. Calculate 5*k(i) + z(i).\nAnswer: -5*i**3 - i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 307975.\nAnswer: 5, 97, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117)*1*4 - (sqrt(117) + -2*2*sqrt(117)))\/(sqrt(54)\/(sqrt(42)\/sqrt(63) + sqrt(6))) + 3.\nAnswer: 3 + 28*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(209) + sqrt(209)*-2) + -1*sqrt(209)*6)\/(1*sqrt(704)*4).\nAnswer: -7*sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence keh when three letters picked without replacement from ssezmkhe.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*x = 12*x - 5*y + 8385, 0 = -3*x - 2*y + 12583. Let a = -2407 + x. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 553 is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j\/j**(-6))\/j)\/j**(-1\/2))\/(j**(3\/4)\/j)**(3\/5))**(3\/19) assuming j is positive.\nAnswer: j**(21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3099, 6151, 9183, 12195?\n\"Answer: -10*u**2 + 3082*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 5.131038 weeks?\nAnswer: 3103251782.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 2350*g - 2357*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 67 = -17. Let f be 4\/(2 + 32\/t). List the prime factors of ((-22)\/(-3))\/(f\/(-21)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -34158833 or -34158834?\nAnswer: -34158833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6885 is divided by 323?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*t + 38 - 62 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/75 of a minute in milliseconds?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2951\/4 - (-147)\/(-84). Let c = -728 + z. Solve -3*o = 2*r + c, -12 = 3*r - 4*o + 2*o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3.5, 0.027, -42\/23 in descending order.\nAnswer: 3.5, 0.027, -42\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -134011 - 3?\nAnswer: -134014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n - 1. Suppose 4*f + 139 = 23. Let r = -28 - f. Let o(b) = b**2 - 5*b - 5. Determine r*o(a) - 5*c(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -51\/146 - -3613\/730. Find the common denominator of o and (-66)\/(-25) + (1 - 3).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 3*q = 159. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 0*t - 5*t + 6*t + t. Let z(s) = s + 2. Let b(l) = 1. Let r(g) = -2*b(g) + z(g). What is r(w(x))?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2 + 2 - i - 1. Let t be (-18)\/(9*7\/(-42)). Suppose -t*f + 7 = -29. Calculate r(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 5*u**4 - 2*u**3 - 2*u - 11. Let c(n) = -14*n**4 + 7*n**3 + 7*n + 34. Let x(q) = 2*c(q) + 7*h(q). What is the first derivative of x(r) wrt r?\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 158751.09 seconds?\nAnswer: 1.837396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1277317861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 3 + 1, 5*i + 4*m - 94 = 0. Calculate the remainder when i is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 + 6*v**2 - 7*v + 4. Suppose -4*n + 12 = -n. Suppose -4*f = x + 27, 3*x + 7 + 18 = -n*f. Does 3 divide l(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 + 33*k**2 + 37*k - 1. Let h be i(-2). Solve 0 = -8*t + 17 - h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1959 rounded to 3 dps?\nAnswer: 0.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -2*h**3 + 2*h**2 - 1. Let y(g) = -2*g**2 - g. Let u be y(-1). Let v be j(u). Suppose 5*n + 5 = 25, 0 = -2*w + v*n - 2. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1))**(-50)*f**(1\/2)*f**(-5)\/f*f*f)\/(f**(-1\/6)*f**(1\/14))**(2\/75) assuming f is positive.\nAnswer: f**(146483\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 7*p - 1296. Suppose 3*w = 2*o + 101, -2*w = o - 4*o - p. Let m = 49 + o. Solve 0 = m*k - 12, -4*y + 6*y + k = 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160264 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (((3*(sqrt(484) - sqrt(484)*-5) + sqrt(484))\/sqrt(11))\/(-3*sqrt(2304) + sqrt(16)))**2.\nAnswer: -10729\/4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + -2 + -3 - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 - r**2 - r + 12. Determine w(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10562033491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 11\/((-605)\/88) - -2. What is the closest to -87 in -0.6, 1, g?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/53, 0.4, -2, -24, -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1436 + -721. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-2)*(-450)\/(-270)*(-12)\/(-10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of -x**4\/4 + 3*x + 580. Let z(a) = -10*a**2. Determine i(z(y)).\nAnswer: -300*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -65201, -130088, -194643, -258860, -322733, -386256, -449423, -512228?\n\"Answer: w**3 + 160*w**2 - 65374*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8 - 2382\/(-300))*15)\/(3\/5).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(2) + 5 - (sqrt(2) + sqrt(8) + 5))*2 + (sqrt(128) - (4 + (sqrt(128) - (-1 + sqrt(128))))) + -1)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, 3, 6\/5, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -254*v**3 - 291*v**2 + 1 + 65*v**3 + 73*v**3 - 2 + 56*v**3 + 62*v**3.\nAnswer: 2*v**3 - 291*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by 18910803.\nAnswer: 8\/18910803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*b**5 - 7*b**5 + 4*b**5 + 4*b**5 + 2*b**5 - 4*b**5 + (0 + 1 + 1)*(2*b**5 - b**3 + b**3) + 3*b**5 + 0*b**5 - 2*b**5.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5570 - 5598 + b**2 + 11168.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (34*1\/2)\/((-17)\/(-102)*3). Solve -6 = -m*u + 28 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -848 + 1234. Let m = 187 + g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 126 = -w. Calculate the greatest common divisor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -670*v - 1457*v - 1612*v + (-2*v + 0*v + 0*v)*(1 - 4 + 5).\nAnswer: -3743*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/(-1))\/(8 - 7). Suppose -v - 5*c = -32, 3*v - c - 96 = -j*c. What is the remainder when 89 is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -26, 0.5, 1, -3, 10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 265950975 is divided by 76?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*f = 55*f + 11*f - 972 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(252))\/(sqrt(9) - sqrt(27)\/sqrt(12)) - (sqrt(448)*-3*2)**2*-6.\nAnswer: -16*sqrt(7) + 96768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 3*o - 4783, 3*q - q = 4*o + 1902. Let c = 1981\/2 - q. What is the common denominator of -37\/2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = -3*c + 2*c. Suppose -16*w + 11*w + 10 = c. Calculate the highest common factor of w and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 15, 73 in ascending order.\nAnswer: -3, 15, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26779 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**2 + k**2 + 2*k**2)*(0 - 26*k + 0).\nAnswer: -52*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*x**3 + 114*x - 126 - 114*x + 126.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n**3 - 4*n**2 - 2*n + 4. Let i be t(3). Suppose 9*h - i = 218. Calculate the remainder when h is divided by (0 - -12) + (15 - 18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 3057*d - 574693. Calculate v(188).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 16382683 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5204, -11095, -17624, -24791, -32596?\nAnswer: -41039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 divided by -339897?\nAnswer: -209\/339897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17 - -4. Let g = 1 - x. Suppose -t + 8 = 2*k - 66, -39 = -k - t. What is the highest common factor of k and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = 2*d + 14, -d - 14 = d + 4*s. Let g(z) = z**2 + 9*z + 8. Let r be g(-10). Let c = r + d. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 5*k = 0, -2*k + 2 = 5*m - 17. Suppose m*j - 602 = 18. Suppose -20 = 4*g - j. Calculate the remainder when 100 is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -x**4\/10 + 23*x**3\/5 - 689*x**2\/10 + 1552*x\/5 + 384 = 0?\nAnswer: -1, 15, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1809211 (base 14) in base 6?\nAnswer: 1102050331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 146 - 151 - ((-4)\/(-4) + (-86)\/12).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -25 - 1*(-26952)\/1080.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 5*w + 25 = 0, 0*g = 5*g + 4*w + 29. Let i be 2\/1 + 6\/g. Which is the nearest to -0.1?  (a) 1  (b) -0.4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56234484.\nAnswer: 2, 3, 53, 29473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5012 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7236?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.39 - 0.29. Let j = 0.086 + 1.114. Let y = j - v. What is y rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 404978168 divided by -56\nAnswer: -7231753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, n: 3, x: 7, o: 3, d: 1, q: 3}. Give prob of picking 1 n, 2 x, and 1 o.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100 - (2 - 0 - (-5 + 10)) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 + 1 - -1) + -2 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + g = -18 - 10, 0 = y - 4*g - 10. Is 227 + y + (-2)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46667233?\nAnswer: 349, 133717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/(2\/40*-3). Let t = u - 20. Suppose 3*c - 44 = -c. Calculate the remainder when t is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the third derivative of z**8\/2240 - z**7\/210 + z**6\/48 - z**5\/20 - z**4\/3 + 27*z**2. Let d(p) be the second derivative of y(p). Factor d(m).\nAnswer: 3*(m - 2)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(2\/3)*(j\/j**2)\/j*(j*j**(-2\/3))\/j**(-4) assuming j is positive.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20*k**2*r**3 - 3840*k**2*r + 24*k*r + 7926*r**5 - 2*r wrt r.\nAnswer: 120*k**2*r + 158520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -171*v**3 - 6*v - 175. Let g(d) = d - 1. Let p(x) = -c(x) - 6*g(x). Differentiate p(h) wrt h.\nAnswer: 513*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 - 78*m + 157. What is o(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**10*a*a)\/a**(1\/7))**(-16) assuming a is positive.\nAnswer: a**(-1328\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 90174066?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 761 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12.78042518 + -38.81954812. Let f = -51.6 - k. What is f rounded to six decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 0.04  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 259*v - 451*v**2 + 256*v - 993*v**2 + 1 - 523*v.\nAnswer: -1444*v**2 - 8*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 523868.94ns in hours?\nAnswer: 0.00000014551915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 80994035 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1258766233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/6*15*(-42)\/(-3080)*-8?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4662\/(-231) + 20)*22\/(-8). Which is the closest to -2?  (a) s  (b) -5  (c) -13  (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1263 + 1911*x**4 + 198*x**4 - 650 + 144 - 262*x**4 wrt x?\nAnswer: 7388*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 444469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in thirty-four fifths of a century?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 - 14922*s**2 + 14919*s.\nAnswer: 3*s*(s - 4973)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -221076, -221063, -221042, -221013, -220976, -220931, -220878?\n\"Answer: 4*v**2 + v - 221081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 divided by -1516150?\nAnswer: 11\/1516150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, f: 1, r: 2, t: 1}. What is prob of sequence rt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/3)\/p*p**(-2))\/((p**(-2)*p)\/(p\/p**(-1\/3))) assuming p is positive.\nAnswer: 1\/p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -3*o**2 + 4*o - 6*o**2 + o**3 + 3 + 1. Let b be z(9). Let n be b + -8 + (-1 - -2). What is the highest common divisor of 22 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-119.\nAnswer: -11.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 20*j**2 + 21*j**2 + 1 - 57*j**2 + 16*j**2 + j**3. Let u(h) = 6*h**3 - 2*h + 5. Determine 5*n(l) - u(l).\nAnswer: -l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 3*f + 99, 146 = -4*o + 4*f - 50. Is ((-9376)\/o)\/(2\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.623 and 0.7247?\nAnswer: 0.4514881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1207 to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the first derivative of -1 + 1\/12*y**3 + 1\/4*y - 1\/4*y**2. Determine w, given that c(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 3, d: 1, g: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 - 15489\/(-3 + 0). Let n = 32406 - v. Suppose 5*b - 6745 = -n. What is b rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*z**3 - 5894335*z**2 + 4251896 wrt z?\nAnswer: -6*z**2 - 11788670*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 - 0)\/((-1)\/7). Suppose -2*a = -n*a + 15. Suppose -5*v + 2*v = -15. Solve v*y - p = -2, -3*p = -y + a*y - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, t: 4, q: 2}. What is prob of sequence tf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 PM and 10:51 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 43*d. Let q(g) be the third derivative of -g**5\/60 - 33*g**2. Give z(q(u)).\nAnswer: -43*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -433, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6 - 0)*(-1)\/(-3). Let j be (-26)\/(-3) + 2\/(-3). Suppose 2 - j = 2*d. Put m, 5, d in increasing order.\nAnswer: d, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -443 + 442.3716. Round f to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -162*c**5\/5 + 882*c**4\/5 - 1502*c**3\/5 + 206*c**2 - 272*c\/5 + 24\/5 = 0.\nAnswer: 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*o**3 + 32*o**2 + 9*o + 31.\nAnswer: -12*o + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-5)*n\/n**1)**(-11)*((n\/((n**0\/n)\/n*n))\/n*n*n*n)\/(n*n**(-5)*n*n)*(n**5*n)\/(n\/n**(-2\/11)) assuming n is positive.\nAnswer: n**(-607\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (355*g**2 + 1692*g**2 + 539*g**2)*(-1 + 1 + g**3).\nAnswer: 2586*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 4:44 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 - 7*g + 9. Let n be x(6). Suppose -2*v = 4*t, 11*v - 14*v + 4*t = -60. Suppose b - v = -n*b. Solve -b = -4*d + 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 189 - 134. Let s = j + -33. Suppose -79*h + 2172 = -909. What is the remainder when h is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*v = 34*v - 4*j - 1713, 0 = 3*v - 5*j - 5174. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 29, -93, 4 in decreasing order.\nAnswer: 29, 4, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5181857437.\nAnswer: 37, 140050201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 10) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 16 = -4*q, -13*a + 12*a + 24 = 4*q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1071*k**2 - 1088*k**2 - 1066*k**2 + 3222*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39\/(-52)*(-40)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**2 - 354*h + 750. What is t(353)?\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 3*w**3. Let y(s) = 11*s**3 - 4*s**3 + s**3 + s + s. Let j(z) = 23*z**3 + 7*z. Let m(h) = 2*j(h) - 7*y(h). Calculate -16*c(g) - 5*m(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -558*j**2 - 80*j**3 - 206*j**3 + 566*j**2 in the form r*j + o*j**3 + u + a*j**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + 2*l. Is (92 + l)*(-7)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 241 divide 169521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 158, 138, 106, 62, 6?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xhhhx. Give prob of picking 2 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 9. Let p = -25 - -51. Suppose 3*r - 19 = -w*h + 14, -2*h - 4*r = -p. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 - g - 4. Let w be -1*(-1 + (-3)\/(-3)). Let p be f(w). Which is the closest to 1\/4?  (a) 1  (b) 1\/3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -410*z**2 - 2876*z - 7. Give i(-7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1825 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -465300 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**3 - 8*p**2 + 11*p - 23. Calculate the remainder when 33 is divided by l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6264 and 8613?\nAnswer: 68904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + -2. Suppose 0 = 2*o - 2*w, 0 = -3*o + 3*w - w + 2. Let x = -10\/53 + -16\/477. Which is the third smallest value?  (a) o  (b) x  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of w**6\/25 + 6*w**5\/25 + 3*w**4\/10 - 4*w**3\/5 - 12*w**2\/5 - 9*w + 3. Factor k(c).\nAnswer: 6*(c - 1)*(c + 1)*(c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14.142 - 0.442. What is a rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 0*d + 2*i = 11, 3*i - 9 = -3*d. Suppose r + 3*q = -r - 23, 5*r - 5*q - 5 = 0. What is the remainder when 21 is divided by d\/(-2) + (-42)\/r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xi when two letters picked without replacement from ffpiix?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3, -342, 4, 8.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1206368830 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 7\/((-35)\/(-15)) - -17. Let y(z) = -14*z + 9 - f - z + 10. Let u(g) = -2*g**2. Determine u(y(h)).\nAnswer: -450*h**2 - 60*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 161981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.021889312 + -0.02191. Round f to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-6 - (-37380010)\/6230000). Round p to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -26 and -4.5.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c - 6 - 21 = 0. Let v(f) = 2*f - 7. Let x be v(5). Suppose 3*g + x + 2 = -h, 0 = -3*h - 4*g - 10. Are c and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14*9\/63*28\/8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2022993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 888\/8 - ((-72)\/6 - 0). Solve v*u = 127*u, 5*u - 3 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 3\/2  (b) -6  (c) 2\/9  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/3 and -71\/3459?\nAnswer: 3459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 8*f - 52. Is p(8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2*(-3071 + 4)\/(8 - 2892\/362) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from raaaararrrrara. Give prob of sequence ar.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 130411.7 - 137844. Let s = l - -7085. Let u = 362 + s. What is u rounded to 0 dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 5*k = 45. Suppose -4*m - k + 51 = 0. Suppose -5*q + m = -211. Is 44 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -5 + 7 + 0 + 2. Suppose 3*m + u - 13 = 0, 0 = m + 3*m + r*u - 20. Let v be m\/(4\/1) - -4. Solve s - v*j = -20, 0*s - s + j = 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 25 + 17. Let p(t) = 4*t**2 - 2*t + 36. Let q be p(5). Calculate the highest common divisor of g and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.53313914 rounded to two dps?\nAnswer: 30.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000999515 to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from tccsshhchshhchj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -64*h - 1867 + 622 + 623 + 14*h - 2*h**2 - 2*h**3 + 624 in the form g*h**3 + t + s*h**2 + f*h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 23*q**2 + q - 32. Let v(w) = -w**2. What is j(v(z))?\nAnswer: 23*z**4 - z**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 6*-4*(sqrt(108) + 0)**2*-1 + -5)*2.\nAnswer: 5170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 4*u + 10 = 0, -2*u - 5 = -5*g + 1. Suppose -255 + 48 = -g*l - 3*r, 4*l - 5*r = 425. What is the greatest common divisor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + (1 - -35 - (-12)\/6). Let v = c + -24. Suppose v + 1 = l. Calculate the remainder when l is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 u when three letters picked without replacement from {u: 5, w: 4, e: 1, m: 4, a: 3, h: 1}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (30\/10)\/(9\/30306). What are the prime factors of z\/18 + 8\/252*-7?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (234\/(-2835)*27)\/(-4*(-15)\/200).\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 50*l - 6. Let r(p) = 48*p - 6. Determine 2*n(s) - 3*r(s).\nAnswer: -44*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -80365.3 * 0.036.\nAnswer: -2893.1508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3161 - 1581 + j**2 - 1577.\nAnswer: j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2800908 and 9504.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 - a. Let b(p) = -24*p**3 - 11*p**2 - 21*p - 11. Let k(w) = -8*w**3 - 4*w**2 - 7*w - 4. Let g(t) = -4*b(t) + 11*k(t). Determine g(s) + 6*y(s).\nAnswer: 2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 42\/26503 and -22\/7795.\nAnswer: 132515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 190\/(-12) + 43\/(774\/(-108)) and -55\/186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -394 + -1?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 29 = -i - 0*i, -2*i + 14 = -k. Let g be ((-8)\/14)\/(k\/28). Suppose g*j + 8\/3*j**2 + 0 + 2\/3*j**5 + 8\/3*j**4 + 4*j**3 = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/3 - -4)\/(-1). Let z be (-2)\/4 + 203\/b. What is z rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*h = 41*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -287*i**3 - 12*i**2*n - 893*i*n - 7*n wrt i?\nAnswer: -1722*i - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*158.6488.\nAnswer: 47.59464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*(-2)\/884 + 684\/(-117) + 6?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + -4 + sqrt(228)\/sqrt(108))*4*-3)**2.\nAnswer: -2688*sqrt(19) + 17200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 AM and 8:52 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/11, 9, -6, 560?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 5) + -2 + (-2 - -5) + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -26*o**2 + 26*o**2 + 18*o**3 - 4 - 10 wrt o?\nAnswer: 54*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -128*j - 124*j - 69*j + 62*j - 375*j.\nAnswer: -634*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/6))**10\/(o**(-1\/30)*(o*o*o**33)\/o))**(-14) assuming o is positive.\nAnswer: o**(7483\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, p: 3}. Give prob of sequence up.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -490*g - 361*g = 223*g + 20406 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2071 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 l(h) = 6*h. Let u(x) = -7*x + 20. Let g(r) = -5*l(r) - u(r). Calculate g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -5*k**3 - 12050*k**2 - 3510540*k - 273724920 = 0.\nAnswer: -2086, -162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + 0 + 15*-1. Let c(i) = -151*i + 436. Let u be c(3). Is u at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8370362?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-p**2 - 4*p + 4*p)*(2*p + 0*p + 0*p) - p**3 + 3*p**3 - 3*p**3)*(-p**2 + 0*p**2 - 2*p**2 + (1 - p - 1)*(-3 + 3 - 2*p)).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of o**5\/120 + o**3\/3 + 1. Let v(d) be the third derivative of f(d). Let t(w) = 4*w - 3*w - 3*w + w. Determine t(v(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 200102 (base 3) in base 6?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1174 and 891.3.\nAnswer: 1046386.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -921425 divided by -25?\nAnswer: 36857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and 4277.78?\nAnswer: 21388.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 85967 and 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -1*sqrt(171) + -5 + (-1*(sqrt(171)*2 + -3))**2.\nAnswer: -39*sqrt(19) + 692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 12:37 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 30 = 2*o. Suppose r - 3*k + 14 = o*r, -3*r + 14 = -k. Let i(x) = 0 + r + 4 + x + 1. What is i(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*1*(sqrt(588)*-2 + 2 - -6*(sqrt(588) - (sqrt(588) + 0)))**2*-4 + 4 + 3.\nAnswer: -47113 + 2240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*p + 1907 = 1915 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -18*v - 77. Let f be i(-4). Let a be (-1020)\/(-50) + f - 2\/5. Let l be (15\/1)\/((-2)\/(-18)). What is the greatest common factor of l and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5488504, -10977110, -16465716, -21954322?\nAnswer: -27442928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 80398819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 233 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 7 - 5. Let w(p) = p + 3*p**3 - 4*p**f + 2*p**3 + 8 - 7. Let r(j) = 5*j**3 + 3*j + 4. Determine -r(x) + 4*w(x).\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -78282*m**2 + 112*m - 590 wrt m.\nAnswer: -156564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -4*v**3 - 5*v**2 + v. Let l(g) = -7*g**3 - 10*g**2 + 2*g. What is -3*l(f) + 5*y(f)?\nAnswer: f**3 + 5*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 115790?\nAnswer: 2, 5, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 691328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-12))\/((-15)\/(-90))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 28 + -27.6. Let v = 0.3 + 0. Put p, 1, v in increasing order.\nAnswer: v, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -127 + 131. Suppose 4*n = -3*b + 196, -4*n + n + 147 = d*b. Are n and 50 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -72457 divided by -9.\nAnswer: 72457\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 47 and 1335796.\nAnswer: 62782412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 830 is divided by 13\/((-12)\/(-8) + 4\/(-8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from dfncb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -3 - 0) + -25 + 22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40402*w**3 + 40415*w**3 - 80805*w**3.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 - -3. Let t = -639 + 657. Sort b, 1, t in decreasing order.\nAnswer: t, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -145821350*l**3 - 158103627*l?\nAnswer: -874928100*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 22 = 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 0*s**3 + 3*s + 5*s**2 + 4 + s**3 + 3. Suppose 400 = -44*y + 21*y - 57*y. Determine h(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/21)\/((-5760)\/8064)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -332 - -3. Let j = v - -328.999818. Round j to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 19*t - 23. Let z(i) = -21*i + 27. Let k be (-9)\/15 + (-448)\/(-80). Let y(l) = k*u(l) + 4*z(l). Determine y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + n + 6 = 0. Let y(m) be the second derivative of m**4\/2 + 5*m**3\/6 - 2*m**2 - 4*m + 78. Let h(u) = 5*u**2 + 4*u - 4. Give n*y(l) - 7*h(l).\nAnswer: l**2 + 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11664, -11705, -11746, -11787, -11828, -11869?\nAnswer: -11910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 147619216 and 5556?\nAnswer: 442857648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 2*k - 438, 0*k + 2*k + 884 = 4*i. What is the remainder when i is divided by ((-1000)\/1000)\/(136\/(-45) - (1 - 4))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/3  (b) -13  (c) -2  (d) 4  (e) -0.2  (f) 33\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 1:51 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-100)*-5)\/1*(-12)\/(-10)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/(o\/(o**(-9)\/o)))\/(o**(10\/3)\/o) assuming o is positive.\nAnswer: o**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -666 + 670. Let o = 10.8 + 0.2. Let y = o - 8. Which is the third smallest value?  (a) -0.5  (b) z  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 4*k - 13, -2*c + 2 = 2*k - 4. Suppose -c*o + 0*o + 15 = 0. Suppose o*u - 22 = 62. Calculate the greatest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 428 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2952215984?\nAnswer: 2, 2113, 87323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -0.1, 2\/9, -5, 0.1, -65.\nAnswer: -65, -5, -4, -0.1, 0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 2*c**2\/9 - 14612*c\/9 + 26688818\/9 = 0.\nAnswer: 3653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 100101001001011111101 (base 2) in base 8?\nAnswer: 4511375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 4 = -3*h, 4*h + 6 = -5*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-6*k + 0*k + k)*(-3 - 3 + 7) + (-2*k + 0*k + 0*k)*(3 - 1 - 1) + 5*k - 2*k - 2*k)*(-k**4 + k**4 + 5*k**4).\nAnswer: -30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 10 - 8 + (0 + 2 + 0)*(0 + 4 - 2) + 2 - 1 + 0 - 4 + 6 - 1 + 7 - 5 - 1)*(3*o - 6*o + 2*o).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h - 9. Determine m(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j + 16. Let f be l(8). Let z(o) = -o**2 + 6*o - 8. Let s be z(f). Let x = 44 + s. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 65579\/(-30)*(-25)\/(-10). Let y = u + 5473. Let f = 166189\/16 - 10391. Find the common denominator of y and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 12:32 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -3*u. Let n(s) = s**2 + 57*s. Determine b(n(c)).\nAnswer: -3*c**2 - 171*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.034 - 15750785.\nAnswer: -15750785.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of -5 - 1\/3*x**3 + 0*x**4 + 1\/15*x**5 + 0*x + 1\/3*x**2. Factor s(n).\nAnswer: n*(n - 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3\/2 + 61*b**2\/2 + 125*b\/2 + 63\/2.\nAnswer: -(b - 63)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 9\/(54\/48) - 3. Put 63, t, 2 in decreasing order.\nAnswer: 63, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18980664.\nAnswer: 2, 3, 790861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*k - 233*k**3 - k + 234*k**3 as b*k + y*k**3 + i*k**2 + o and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*y**2 - y**2 + 3*y**2)*((4 + 1 - 3)*(4 - 3 + 1) - 2 - 4 + 5 + 0 + 9 + 0) + (5*y + 0*y - 2*y)*(2*y - y + 2*y).\nAnswer: 105*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/119*(-112999)\/4692.\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27476740 to the nearest integer?\nAnswer: 5242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -9*r - 43. Let f be v(-13). Let d = 181 - f. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5617333225.\nAnswer: 5, 7, 32099047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.05 + -13.05. Let r = -7 - y. Let b = r - 9. Put b, -2\/9, 0.1 in ascending order.\nAnswer: b, -2\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 3*p - 3 - 8, 0 = -p - 4*u. Suppose 0 = 2*z + 2*l - 6*l + 30, -5 = p*z + 3*l. Let v = z + 8. Solve -w + 4 - v = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*k + 80 = -51*k. Let z(m) = -7*m**2 - 3*m - 5. Let d(l) = -11*l**2 - 4*l - 8. Calculate k*z(w) - 5*d(w).\nAnswer: -w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a milligram in micrograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 - 28. Let b be -3*f\/(-3) + -1. Which is greater: b or -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 + 0)*(-3*n + 5 - 5) - 6*n - n + n + (-6*n + 4*n + 0*n)*(2 - 6 + 2).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5337633 is divided by 395?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5346 + 5343. Let z = 0.01 - 0.04. Put 0, z, y, 3 in increasing order.\nAnswer: y, z, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -254*h**3 - 63*h**2 + 647183*h wrt h.\nAnswer: -1524*h - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 8. Let u = 308 + -61. Let z = u + -243. Which is the nearest to 0?  (a) f  (b) 0.059  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 59 + -59. What is the remainder when 208 is divided by (-9 - -6)\/((-1)\/(14 + z))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -21, 65, 1\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.9819 rounded to two decimal places?\nAnswer: -1.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in 0.1, -21.76, -77?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 79 - 46 = 0. Are 7 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 125 divide 104152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(3*sqrt(108)*1 + -2 + sqrt(108) + -1))**2.\nAnswer: -1296*sqrt(3) + 15633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 215510, 861762, 1938848, 3446768, 5385522?\nAnswer: 7755110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n**3\/3 + 698394*n**2 - 5587136*n + 33522784\/3 = 0. What is n?\nAnswer: 4, 2095174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1111202112102 (base 3) in base 7?\nAnswer: -6551015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 279*w + 299. Let f be k(-1). What is the greatest common factor of f and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 16 = 4*a, -5*a - 17 = -13*u + 16*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 - 9. Let w(u) = -u + 4 - 6 - u + m. List the prime factors of w(-12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p + 10. Let t be f(-7). Suppose 3*h - 13 = c, h - 4 = -c + 7. Solve -h = t*q - q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.7?  (a) -1  (b) 294136  (c) 5  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25129998.\nAnswer: 2, 3, 127, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 51 + 59. Calculate the remainder when i is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5*s + 20 = 0, -5*s + 7 = j - 13. Let m = j + -8. Calculate the smallest common multiple of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42 and 37257.\nAnswer: 521598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -1041*l - 1271. Does 19 divide p(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, c: 2, g: 2, s: 1}. Give prob of picking 1 c and 1 g.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-9)*(-5)\/((-5)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.043 and -12.76774?\nAnswer: -0.54901282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q**2 - q**2 - q**2)*(-q + 3*q - 3*q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 17962*(-1)\/(-4492) + -4. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*v + 10*v + 1. Let j(c) = 3*c - 2. Let a(k) = k**2 - k + 1. Let q be a(1). Let b(i) = -2 + 2 - i + 1. Determine q*b(g) + v*j(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2036120 (base 7) in base 6?\nAnswer: 5124302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4845624*b*y**2 + 5903*b*y + 19*b - 6*y**2 - 155*y wrt y.\nAnswer: -9691248*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 2 = 3*l - 7, 2*l = 2*p - 6. Suppose 3*n - 12 = 3*o, l*n - n - 4*o = 1. Let s = 8 - n. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 x, 1 n, and 1 z when four letters picked without replacement from {q: 1, x: 2, h: 1, b: 1, z: 1, n: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 23*x - 25*x + 6 = 0, -3*l - 2*x = 14659 - 14693 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5936977323 to the nearest integer?\nAnswer: 77052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 121 (base 7) to base 11\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 5*d**3 - 5*d**2 + 12*d - 11. Calculate t(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1333 + 111?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4587055\/13 - -352837. Let u = 19 + -33. Which is greater: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 831 is divided by 624.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -67 + 7 + 441 + -369?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 183677857 to the nearest integer?\nAnswer: 13553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + -12a?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 3*g - 11 = 0, -2*g + 8 = 2*p + 2. Let v = p + 4. Suppose -d + 212 = v*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 6*n - 84. Let h = n + 3. Suppose -2147 + 2123 = -2*b. Calculate the greatest common factor of h and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1302155307 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 34 + 213. Suppose 11 = 5*i + 2*k, -i - 3*k + 3 = 2*i. Suppose 4*n + 65 = -i*b + 386, 3*n = 4*b + y. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22464 + 22502. Solve 0 = -b*z + 49*z - 55 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -871*j - 45466 + 13720 = 572*j for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 3, 4.293, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 20\/15 + 4\/6. Suppose -16*a + 4*a**5 - 12*a**3 + 8*a**4 - 32*a**v - 160 + 160 = 0. Calculate a.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 602 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 97786766 and 551161772?\nAnswer: 6062779492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 17480149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-2\/9))**41)**(1\/14))**(-24) assuming t is positive.\nAnswer: t**(328\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36867488 and 1120.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(16\/(-3))*(-48)\/12?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 189*x**2 - 201*x**2 + 12*x**2 + 148445*x**3.\nAnswer: 148445*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*g - 1078 = -8228. Calculate the greatest common factor of 154 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g - 4*g + 2*g**2)*(0 + 2*g + 0) - 3*g**3 + 3 - 2*g**3 - 2 - g**3 - 2*g**3 + g**3.\nAnswer: -3*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -540355 <= -540315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 143 and 793?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*b**2 - 3*b**3 + 2*b + 11*b**2 + 2 - 5*b**2 + 2*b**3 as a*b + v + s*b**2 + f*b**3 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 + 80855.\nAnswer: 80851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 3*l**3 + 5*l**2 - 1. Let z be c(-1). Do z and 29\/18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 4*w**2 - w + 1. Let j(t) = -7*t**2 + 2*t - 2. Suppose -50 = 5*p + 3*c + 2*c, 0 = 3*c. Let z(o) = p*i(o) - 6*j(o). What are the prime factors of z(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 4*f + 16 = 0, b + 2*f = -4*b + 10. Let h = 8 - b. Suppose p = h*p - 48. Solve -p = -4*l - 0*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 123\/280 and 117\/28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 3*a + 1 - 4*a + 2*a + 0*a. Suppose 4*z + 2*v + 42 - 8 = 0, 1 = 2*z - 5*v. Let i = z - -3. What is j(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of k**9\/84 - 21*k**6\/40 - 55*k**5\/3 + 1231*k**2. What is the third derivative of c(d) wrt d?\nAnswer: 720*d**3 - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (44149\/(-16218))\/(21\/9)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -26, 107, -2, 2\/19 in decreasing order.\nAnswer: 107, 2\/19, -2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 + 3*y**2 - 3*y - 4. Let q be b(-3). Let g(p) = 2*p - 2. Calculate the lowest common multiple of 11 and g(q).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21586267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 - 41738*b - 1044081. Calculate h(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + 44 + -3 + (-3 - -9 - 11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(175)*-1)**2 + (sqrt(175) - (sqrt(175) - (-2 + sqrt(175))*-1))**2)*1.\nAnswer: -20*sqrt(7) + 358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h**3 - h**2 - 4*h**3 + 15*h**3 + 1. Suppose 2*g + 1 + 1 = -4*i, 5*g + 2*i = -5. Calculate z(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -10\/11  (b) 3  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/2*(1 - -81). Let r = 76 + y. Let g = -25 + r. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + ((-30)\/(-25))\/((-6)\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.255 + 0.095. Let j = g + -1.84. Let d = 1.1 + -0.1. What is the closest to 0.1 in d, j, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = m + 13, -5*m = -2*t - t - 1. Suppose 0 = -4*u + d + 10, m*u - d = -0*d + 6. Solve -u*z - k + 5 = 0, -2*z = 3*k + k - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 31\/5 of a century?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = 54*h - 37*h + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -4*r - 1616, 102 = -l + 3*r + 423. What is the greatest common factor of l and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -4*p. Let t(r) = -26*r - 625459. What is t(l(d))?\nAnswer: 104*d - 625459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 18 = -3*c. Suppose 0 = -4*q + c*q. Suppose -4*h + q*h + 8 = 0. Solve -h*j + w = -6, -5*w - 4 = 2*j + j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176) + -2 + -2 + 3*sqrt(176) + 5)**2 + 4 + 3*(-5*(1 + sqrt(176)))**2.\nAnswer: 632*sqrt(11) + 16096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 5 - 6*b**3 + b**3 + 8*b + 4*b**3 + 6*b**2. What are the prime factors of o(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1969, 8066, 18293, 32650, 51137, 73754, 100501?\nAnswer: 131378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8344 = 604*g - 306*g. Let q(s) = s - 1. Let o(c) = 28*c + 28. What is g*q(t) + o(t)?\nAnswer: 56*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 4:18 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13733 = -26*y + 21*y - 3*b, 0 = 5*y + 5*b - 13725. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1 + 1 + 2673*a + 36*a**2 - 2676*a + 396*a**3 wrt a.\nAnswer: 2376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bomm when four letters picked without replacement from {a: 1, m: 5, p: 2, b: 1, o: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the second derivative of 1\/6*d**3 + 0 + d + 1\/30*d**6 + 0*d**5 + 0*d**2 + 0*d**4. What is the second derivative of s(l) wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.3 - 3.7. What is the second smallest value in l, 4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, q: 1, p: 1, r: 4, a: 1}. What is prob of sequence qprr?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*w - 0. Suppose 0 = -0*y + w*y - 2. Which is the nearest to 1\/4?  (a) -0.2  (b) y  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 35.71 + 290.937947.\nAnswer: 326.647947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 340*w**3 - 477*w**3 - 768*w**3 + 170*w**3 - 1258*w**3.\nAnswer: -1993*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -44188*f + 19630*f + 20251*f + (-2 + 0 + 4)*(2 + f - 2) - 3*f + 2*f - 3*f.\nAnswer: -4309*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11995\/9 + 1352. Let x = -19 + o. Let b = -0.1 - 0. Put -2\/17, x, b in decreasing order.\nAnswer: x, b, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2175593966 plus 6220.5?\nAnswer: -2175587745.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14870 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -80958 - -80957.5. Suppose -3*x + 4*x + 24 = -4*l, -3*x = 4*l + 32. Which is the third biggest value?  (a) x  (b) 0.1  (c) -3\/7  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*t + 44*t + 17 = 0. Let b(u) = -u + 23. Let n be b(t). What is the greatest common factor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iininiiiiiiii. What is prob of picking 2 n?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001819468 rounded to six decimal places?\nAnswer: -0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85663153.\nAnswer: 17, 19, 113, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 8:29 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) 48  (b) -0.49  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 22947750 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 7*u = -8. Let w be 1\/u*880\/(-20). Calculate the greatest common divisor of 44 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2786983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {s: 1, p: 1, h: 8, m: 6}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 - 61*l + 959. Let z be t(25). Solve 20*v = z*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121 + 1202?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -5*u**3 - 8*u**2 - 4*u + 2. Let w be i(-1). Solve w*z + 65 = -10*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c be -86*1\/(-8)*-4. Let o be 1 - ((4 - 3) + -36). Let q = o - c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 190\/(-25) - (-3)\/15*3. Let n(r) = -2*r**3 - 11*r**2 - 25*r - 8. List the prime factors of n(k).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21)\/(-6)*(-4)\/(-7)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9683*l + 40934.\nAnswer: -9683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2 + 9*z. Let b be i(9). Suppose 0 = 4*w + w. Suppose 3*p - 5*p = -4. Solve -x + w + p = b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4\/7 - 4\/7*o - 11\/7*o**2 + 9\/7*o**4 + 6\/7*o**3 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 19*c**2 + 6. Let m be b(0). Suppose m*u + 11 - 353 = 0. Calculate the highest common factor of 114 and u.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1806, -7443, -16920, -30237, -47394?\nAnswer: -68391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-8))\/(25\/(-60)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 12*r**2 - 34*r - 45. List the prime factors of s(20).\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 8*a + 12. Let v(q) = q + 1. What is 2*d(k) - 22*v(k)?\nAnswer: -6*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -56599022 - -36755022. What is t rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18971745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/8 - (-15)\/44. Let o = 19.17 - 22.17. What is the third biggest value in y, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 5 + 7 = 0. Suppose 0 = d + 3*w + 6 + 5, 40 = 5*d - 4*w. Let o = d + x. Is -3\/8 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a + 2. Let f be r(-20). Let v = f - 63. Let w = v - -129. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1628242533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11041311 is divided by 168?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*p**4 - p**4 - 5*p**5 - 3*p**4 + (-2*p**2 + 6*p**2 + 9*p**2)*(-2*p**3 + 3 - 3).\nAnswer: -31*p**5 + 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32)\/(-8) - 32\/8 - 25\/(450\/28)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**2 - 14*s - 43. Let r(w) = -w**2 - 15*w - 8. Let l be r(-15). Let f be v(l). Is (-4)\/(-70)*f + 1769\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 194735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.12643l to millilitres.\nAnswer: 126.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y = 16*y + 4992. Let r = y - -224. What is the remainder when r is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -54\/19 - -416\/133. What is the nearest to -2\/9 in u, 8\/3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of -3*p**2 + 0 - 3 + 4. Let y(l) = -2*l + 9. Let s be y(4). What is q(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22645331 and 7167?\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + c - 28 = 16, 0 = 3*k - c - 26. Suppose 0 = -2*v - 0*v + k. Suppose -f + 2*l + 5 = 0, f + 15 = 4*f + v*l. Solve -f = w - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2493\/10 less than or equal to -248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/5 - 212\/(-480))*9.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 3, m: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.11722 + 7.01578. Let c = 0.167 + g. What is c rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -1. Let h be 14 + (2 + -3 - l). What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.1 - 1.1. What is the second biggest value in -3, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 3, u: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qlplynnnypqpnnynq. Give prob of picking 1 p, 1 l, 1 q, and 1 y.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2257864 by 2.\nAnswer: -1128932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -25 >= 2391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 169355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 4*k**2 - 4. Let g(u) = 20*u**3 + u**2 - u + 1. What is the remainder when w(4) is divided by g(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3166*c + 1588*c + 1842*c - 274 wrt c.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 5*r + 4. Suppose -4 = -w - 2. Let m(a) = a. Let o(i) be the second derivative of i**3\/6 + 2*i**2 - 232471*i. Give r*o(x) + w*m(x).\nAnswer: x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 3*k**2 + 46*k + 147. Let r(i) = -i**3 - 4*i**2 - 2*i - 4. What is the remainder when x(-4) is divided by r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {n: 1, j: 1, q: 3, f: 4, x: 1, h: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 274911 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*f**5 - 2*f**5 - f**5 - 4*f**5 + 3*f**5 - 2*f**5 - 5 + (-f + f + 2*f**4)*(-5*f + f + 3*f) - 54*f**2 + f**5 + 54*f**2.\nAnswer: -3*f**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 162, 168, 150, 108, 42, -48?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -2*u + 99. What is the tens digit of (-5*(-7)\/u)\/(1\/74)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -11*q**3 - 16*q. Let i(b) = b**3 - b. Give 2*i(c) + k(c).\nAnswer: -9*c**3 - 18*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1609516721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22 + -9. Suppose -5*h + 4*n - 6 = -30, -3*h + n = -x. Suppose 0 = 3*d - 2*v + v - 27, h*d + 2*v - 26 = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, -38, 0, -1.\nAnswer: -38, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 624 a factor of 204624914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -626181834 plus 223151?\nAnswer: -625958683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 33 and 18609.\nAnswer: 204699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*x - 2*x + 224 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -137728 in 4, -0.2, 3, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (12\/(-9))\/((-14)\/735). Calculate the greatest common factor of 28 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11101 (base 2) to base 5\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -6*d + 2. Let t be a(-1). Suppose -4*v + t*b = 5*b - 2182, 4*v = b + 2178. Let f = v - 327. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1801, -1250, -337, 938, 2575?\nAnswer: 4574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 0*o = -48. Suppose -2*i - 4*y = i - 64, -3 = -3*y. Suppose -3*f + i = f. Solve -f*t + t - o = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = 4*g + 12, 4*g - 2*d - 8 = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -8*u + 6*u. Let m(k) = k**2 + 4. Let f be m(0). List the prime factors of (-1 - -28) + (f - u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4801573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 3 - 812*i**3 + 114*i - 1692*i**3.\nAnswer: -2504*i**3 + 114*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 295733361 and 42?\nAnswer: 591466722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1320\/(-231)*(4774\/(-88))\/31?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k - 2*k + 423 = 0. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of -8\/3*b**3 - 10 + 0*b**2 + 0*b. Let p(r) = -2*r**2 - 4*r + 4*r + 6*r**2. What is j(p(z))?\nAnswer: -128*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - -2) + ((0 - -1) + 20 - 0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1 and 32739.\nAnswer: 32740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 PM and 5:54 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/27485 >= 1304.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 AM and 7:10 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 6, b: 4}. What is prob of picking 3 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + 4*y - 20. Suppose -2*u = -3*u - y. Let p = u - -5. Which is smaller: 0.1 or p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/45 and 7\/58012830?\nAnswer: 58012830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*h + 23*h = 40*h - 14976. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q**5 - 92*q**4 - 598*q**3 + 8180*q**2 - 13200*q = 0. What is q?\nAnswer: -33, -20, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 982 - 5?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3810 + 3809.91665. Round b to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*f**2 + 32*f**2 - 69*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-6*(-4 + (sqrt(117) - (sqrt(117) + 0 + 3))*6))**2.\nAnswer: -104544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15.368 + -0.132. Let w = -12.8 + -3.2. Let o = w - q. Which is the smallest value?  (a) 1  (b) o  (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2*c + 1. Let x(z) = 9*z + 19. Calculate -x(a) + 3*y(a).\nAnswer: -3*a - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + o = -0*q + 10, -4 = -o. Let u = -0.1274 - -3.0514. Let j = u - -0.076. Which is the closest to -0.1?  (a) -1\/5  (b) j  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 30*c**3*x**2 + 36*c**3 - c*x**2 wrt x.\nAnswer: 60*c**3*x - 2*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 262906.\nAnswer: 2, 7, 89, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 - z**2 + 1. Let k be p(0). Let i = 7.6092 - -0.3908. Which is the nearest to -2\/3?  (a) k  (b) 4  (c) i  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -11*r + 20. Suppose 0 = m + 3*z - 11, -4*m - 7 = 2*z - 31. Let c(x) be the second derivative of 7*x**3\/6 - 13*x**2\/2 + 152*x. Give m*y(t) + 8*c(t).\nAnswer: t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ozt when three letters picked without replacement from ortzooz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0*(1\/2)\/(-1). Suppose -35 = -u + 5*i, k = -3*u + 4*i - 2*i + 40. Is 1992\/15 + 2\/u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 PM and 4:58 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1906003 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 PM and 3:02 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 9 - 6. Calculate the highest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1150283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + 20002?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -170, -152, -110, -32, 94, 280, 538, 880?\nAnswer: 1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -197*o**4 + 38197*o + 50341736 wrt o?\nAnswer: -788*o**3 + 38197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -228 = -83*h - 62 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/(-28))\/((-96)\/(-70)*(-640)\/512).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from offrfyroooqy.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from mjjmjmjjnnjmnmjjm.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -3*v**3 - 31*v**2 + v - 384. Calculate p(-12).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - ((-4 - 13) + 14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**5 - 400*j**4 + 2640*j**3 - 3240*j**2 - 10260*j + 20088.\nAnswer: 4*(j - 93)*(j - 3)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 70553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/72)\/((-2)\/(-8))*-12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4727566537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12819*z + 112576 = -16337*z for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((423\/8)\/3)\/((-92)\/(78752\/(-321)))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -383, -764, -1145?\n\"Answer: -381*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -2*k + k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2713*o**3 + 11*o - 4*o - 7*o.\nAnswer: -2713*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from dtiititudj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -4473?\nAnswer: 2\/4473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/12 in -5, -565, 47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -6, -3, 1, 3, -36788 in decreasing order.\nAnswer: 3, 1, 0, -3, -6, -36788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4\/(-14))\/((-360)\/42 + 8). Let u(a) be the first derivative of 2\/5*a**3 + 3 - 1\/5*a**2 + 4\/25*a**5 + c*a**4 - 2\/5*a. Let u(w) = 0. Calculate w.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2492047.04 and 2.\nAnswer: -4984094.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15460)\/(-1546))\/(90\/(-4))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3729 and 221133.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*z, 5*y - 3*z + 55 = 2*z. Let p = y + 14. Suppose 2*b - 8 = -v - 3*v, 12 = 3*b + 5*v. Solve -p = -l + b*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -1918  (c) 924  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = d - 2*v, 0 = -4*d + 5*v - 3. Let m(n) = -616*n - 8. Let l be m(d). Let f = -9226\/5 - l. Find the common denominator of f and 121\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 129*s**3 - 9*s**2 + 9*s - 114. Let g(o) = o**2 - o - 2. Let j(f) = -c(f) - 9*g(f). Find the first derivative of j(y) wrt y.\nAnswer: -387*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the second derivative of -w**4\/12 - w**3 - 5*w**2\/2 - 7*w. Let k be p(-5). Which is the nearest to -1?  (a) 9  (b) k  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -12074 and -12062 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 8*n - 56, -149*n = -3*f - 152*n + 27. What is the smallest common multiple of 10 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -478 + 481. Which is smaller: 11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 4*y - 6. Let g(k) = 0 + 2 + 826*k - 824*k. Determine g(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44023 is divided by 21967?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.7614 + -0.76. What is m rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -1, -3, 1 in decreasing order.\nAnswer: 14, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 61 + -59. Solve -3*w + u*x = 5*x - 3, -5*x + 5 = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 28*g - 24*g + 1 - 2 + 0*g. Calculate c(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4317667411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 4*q**3 - 3*q**2 - 31*q + 58. Let a be d(7). What is the highest common factor of a and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 940\/26 + (36\/(-117))\/2. Let k = -65 + 70. Solve -56 = -k*c - h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 77582666 - 47242666. What is v rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -374 + -3 + 1 - (-4)\/(-16). Let r = n + 377. What is the nearest to -1 in -16, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.21 in -1, -22, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 200555 is divided by 15273.\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1672766 is divided by 836381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 36.7784 centuries?\nAnswer: 367.784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 3*n**2 - 34*n + 25. Let p(f) = 2*f**2 - 17*f + 12. Suppose 0 = g + 3*g + 20. Let z(k) = g*p(k) + 3*t(k). What are the prime factors of z(-14)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*u - 31*u - 425 = -87*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 + 6\/3 + -2. Is 21 a factor of 3*(-1 - o) - -18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -3*n**2 + 3*n + 2. Let r be s(-1). Let d = 14 + r. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (10\/7)\/(102\/357). Let u be (-4)\/10 + (-33)\/5. Let r be ((-6)\/2)\/3 - u. Sort r, b, 1 in decreasing order.\nAnswer: r, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6627 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 57043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = -t + 2, 203*t - 2*z = 206*t - 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 206794 is divided by 228?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 1464 = -2*h, -2*b - 7*h + 1460 = -5*h. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 33*r + 39. What is the tens digit of s(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 885174700 is divided by 13822?\nAnswer: 13820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1154?  (a) 1184\/7  (b) -0.4  (c) 1\/2  (d) 1\/10  (e) 1  (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*q, 3*q - 7*q + 529 = 3*g. Let x = 245 - g. Suppose 0 = -3*f - 2*f + x. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -5. Let q be 2\/(2\/3 + c). Suppose q*b + 21 = -4*z + 167, -2*z + b = -68. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(35)\/(sqrt(70)\/sqrt(90)) - sqrt(25)\/(sqrt(180) - (-2*sqrt(180) - sqrt(180))))*-4 + 2)*3.\nAnswer: -71*sqrt(5)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**3 + 16*n**2 - 7*n + 4. Calculate the remainder when b(15) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 214996 = 4*w, -21*u - 214992 = -25*u - 2*w. Calculate the highest common divisor of 71 and u.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xtx when three letters picked without replacement from xttttx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1  (b) -1\/5  (c) -6.811  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1367 is divided by 39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 365 - 204. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(240)*1)\/sqrt(12) + 2 + -5 - (sqrt(30)\/(sqrt(24)\/sqrt(8)))\/(sqrt(162) - 3*sqrt(162)).\nAnswer: -3 + 37*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108502 = -35*h - 28177. Does 27 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (825\/75 - (-273)\/(-24))\/(276\/19) and 35\/1656?\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 5*p + 6. Give v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 307\/5 - 61. Which is the closest to s?  (a) 2  (b) -3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -33. Suppose 2*u = -3*t - 2*u + 37, 5*u - o = 0. Let i = 20 + 36. What is the highest common factor of t and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16496767 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 978 or 938?\nAnswer: 938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-21904)\/444)\/((-8)\/(-10)*(-8)\/(168\/35))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**2 + 5*m - 6. Calculate the remainder when 47 is divided by l(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -102230 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.7367 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 202407 is divided by 59.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 12 = 5*p. Let i be (-1)\/(-2) - p\/2. Suppose 16 = 5*z - 2*g - 15, 0 = i*z - 2*g - 10. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 23*s**3 - 53*s**3 - 1 + 0 + 2*s**2 - 6*s**4 + 29*s**3 in the form j*s + w*s**2 + z*s**4 + y + t*s**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 366266 is divided by 121?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f + 8. Let d be m(-4). Suppose 4*j - 43 = j - d*a, 2*a - 8 = 0. Let v be 14 - (11\/6 + (-2)\/(-12)). Calculate the greatest common divisor of v and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128808139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1158*p + 2513*p - 1012*p - 1 - 131 with respect to p.\nAnswer: 343","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**2 - 3*r. Let x(n) = -2*n**2 + 3*n + 1. Let v(d) = 3*j(d) + 2*x(d). Let l be v(-2). Solve l*g - 25 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -6  (b) -5  (c) 5  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 837026, 837000, 836974, 836948, 836922?\n\"Answer: -26*m + 837052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + 7*l - 36. Let d(r) = 2*r - 1. Let u be d(l). Is (-10)\/25*u + 4*11 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7280 and 416?\nAnswer: 14560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -132\/19112869?\nAnswer: -132\/19112869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, p: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 74.65448g to micrograms.\nAnswer: 74654480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/2 + 994*n - 7984.\nAnswer: (n - 8)*(n + 1996)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (92\/16)\/(((-3)\/((-54)\/5))\/((-5670)\/1701)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2887413793.\nAnswer: 11, 19, 2903, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/479844480 and -103\/40.\nAnswer: 479844480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k - 2. Let v be 15 + -7 + 0 + -3. Suppose 0 = 5*r - g + 3 + 1, -10 = v*r + 5*g. Let u be ((-9)\/5 - r)*(-75)\/10. Give h(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 - 6*j**2 + j + 9. Let g(y) = y**2 - y - 1. Let z(x) = -3*g(x) - l(x). Let d be (-9)\/(-42)*(12 - -2). Let r be z(d). Is 1\/3 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -4*g**2 + 19*g. Let d(r) = 70824*r. Give m(d(n)).\nAnswer: -20064155904*n**2 + 1345656*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**2 + 7*x - 3. Let j be k(6). Suppose -2*b = j - 1. Let w = -0.0432 + -13.9568. Is b less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*z + 24 = 14*z + 530 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 2874.225 micrograms?\nAnswer: 2.874225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -532, -589, -646?\n\"Answer: -57*v - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 7774*p - 38824. Give u(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 50452762 less than or equal to 50452770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 9 + 57*d - 6 + 6 + 8*d wrt d.\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.04689 - 1154.7.\nAnswer: -1154.74689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 28*q + 11*q = -34. Solve -4*w = q*g - 12, 13*g = 14*g - w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 283 + -135. What are the prime factors of d?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.35 + 0.1. Let p = 0.15 + u. Let i be (-4)\/(-18) + 192\/(-621). Which is the nearest to -0.2?  (a) i  (b) -2\/7  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k**2 + 20*k - 3. Let f(h) = -72*h**2 + 46*h - 5. Let r(z) = 13*z**2 - 9*z + 1. Let t(i) = 2*f(i) + 11*r(i). Calculate -11*t(c) - 4*u(c).\nAnswer: 3*c**2 - 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9*7\/21 + (-2 - -1). What is the second biggest value in -20\/7, -3, d?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u + 17. Let r be f(0). Let s = 21 - r. Let k be (s - 12)\/(-1 + 3). Which is the second biggest value?  (a) -2  (b) 7  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12438886685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3423.027 - 3423. Let i = 13488 + -13487.973204. Let u = n - i. Round u to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -68.6 - -37.3. Let p = -31 - g. Let v = p - 0.2. Which is the nearest to 2\/3?  (a) v  (b) -0.2  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u - m + 56, -m - 2 = 2*u - 32. Suppose u*r - 234 = 10*r. Let z = 126 - r. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1113 - 11?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + c = -31, -33 = -4*l + 3*c + 32. Suppose 4*a + 3*j - j + 20 = 0, -3*a = 2*j + l. Let u = a + 18. Calculate the remainder when 23 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -r + 2*x, -5*r - 293*x = -294*x - 23 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12 + 13. Let j = -10 - -2. Let q = 15 + j. Solve 0 = 2*o - a + q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20 - 8) + -30 - -23.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - 8. Which is bigger: 0.07 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -1 + 13 + (0 - -20).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - 9*x**2 + 5*x + 50. Let q be t(-9). What is the second smallest value in q, -1, -0.18, 0.3?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 4:18 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1505, 0, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes after 8:53 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -9*i + 117. Let g(d) = -4*d + 59. Calculate 7*g(v) - 3*m(v).\nAnswer: -v + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes before 10:14 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7555 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of o**3\/2 + 7*o**2\/2 + o + 1. Calculate m(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001981672 rounded to 7 decimal places?\nAnswer: -0.0000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 42663, 170362, 383127, 680964, 1063879, 1531878, 2084967?\n\"Answer: w**3 + 42527*w**2 + 111*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y - 13 - y**3 - 2*y**3 + 5*y**3 - y**2 - y**3. What is d(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5552173 (base 8) in base 11?\nAnswer: 932120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 23980890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {n: 4, t: 8, q: 2, k: 4, r: 2}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 16 + -7?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 187752 is divided by 187748.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*w - 101 + 101)*(15*w**2 - 6*w**2 - 4*w**2).\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/3 + 4308*h - 64770.\nAnswer: 2*(h - 15)*(h + 6477)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 10*v**2 + 5*v - 6. Is 6 a factor of s(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 6\/17, -71, -17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:08 PM and 12:03 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-125)\/10)\/(-5)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 8 = -3*y, -3*p + y - 7 + 5 = 0. Let n be p\/11*(-3 - -2)\/(-1). Is n greater than or equal to 7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1996 is divided by 988?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 13 = -k - 1, 2*k - 12 = 2*w. Let m(n) = n**3 - 3*n**2 - n + 3. What is the units digit of m(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5285250 and 1740?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/10 + 8*78\/240. Let q be 123\/(2 - (-5)\/(-3)). Let m = q + -3325\/9. What is the biggest value in -0.4, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 418447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**6*d**(-6))\/(d**(-2\/29)\/d)**(-25) assuming d is positive.\nAnswer: d**(-746\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s + 19. Let q be o(-20). Let m(v) = 14*v**3 - 5*v - 5. Let n be m(q). Let g(i) = i**2 + 14*i + 28. What is the remainder when g(n) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -29005893 + 12305893. Round q to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1852, 3934, 6024, 8122?\n\"Answer: 4*l**2 + 2070*l - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -209*t - 347*t - 98*t = 384552. Sort 6, t, -2 in decreasing order.\nAnswer: 6, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1690248596 a multiple of 2926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppoopoppppwoow. What is prob of picking 1 p and 2 w?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 PM and 2:03 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -974, -1902, -2834, -3770, -4710, -5654, -6602?\n\"Answer: -2*b**2 - 922*b - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-672570.\nAnswer: 672570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*k = -12*k - m, 0 = -3*k + 4*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-9))\/((-12)\/288) + (57 - (25 - 36))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z*z**(-10)))\/z*z**10)\/(z**12*z\/(z*(z*z**(2\/5)\/z)\/z)) assuming z is positive.\nAnswer: z**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -60647\/15920 - 3\/995. Find the common denominator of y and (-659)\/60 + 92\/230.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52632061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21194 is divided by 6925.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 227*w - 89*w - 638 = 604 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 1162.\nAnswer: 5\/1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/268 and -63\/11542.\nAnswer: 1546628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - 9*b**2 - 857*b + 857*b + 125*b**2 + 3*b**2 + 0*b**2 - b**2 + (0 + 6 - 5)*(0*b**2 + 0*b**2 + b**2).\nAnswer: 119*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/16 and -24 + 14 - (-549300)\/54912?\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*d**4\/5 + 12*d**3\/5 - 6*d**2 + 16*d\/5 = 0. What is d?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {c: 6, i: 10, n: 1}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -236677 >= -236678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 75 - (16 + -6 + 136)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3160750*p**3 - 2549872 wrt p?\nAnswer: -9482250*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -42 - -61. Suppose x + 5 = -2*u, -3*x - 2*u = 2*u + 9. Let v = g - x. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = 3*a + 42, -387*z = -767*z + 384*z + 5*a - 29 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 11) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 270 and 247 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(3240)*1 - sqrt(3240)) + sqrt(3240))*4)\/(sqrt(24)\/(-2*sqrt(3) - sqrt(3)) + sqrt(32)*3).\nAnswer: 108*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqkkkkakkktaakkkakkq. Give prob of picking 1 q, 1 t, and 2 k.\nAnswer: 66\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 216 and 4584?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 8:01 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -11098*a + 49. What are the prime factors of p(-1)?\nAnswer: 71, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-2\/13)\/(f\/f**2)*(f*f*f*f*f\/(f\/f**2)*f)**(-34) assuming f is positive.\nAnswer: f**(-3083\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3 and 8806770.\nAnswer: 8806770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2295, -2332, -2369, -2406?\nAnswer: -2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3021 is divided by 1944?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8536961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -17 + (-5 - -35)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v**3 - 13*v**3 - 2*v**3 + (2 + 2 - 6)*(-2*v**3 + 4*v**3 - v**3) - 3*v - v**3 + 3*v.\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 367460 and 760.\nAnswer: 734920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -43583, -43446, -43307, -43166, -43023, -42878?\n\"Answer: a**2 + 134*a - 43718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14965 by -2993.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 243 = 20*a + 183 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 29, 63, 119, 197, 297, 419, 563?\n\"Answer: 11*v**2 + v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 43053973 to the power of 1\/2, to the nearest integer?\nAnswer: 6562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - -1002221?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*q**5 - 167728*q**4 + 55970*q**3 + 405402*q**2 + 279568*q + 55912 = 0.\nAnswer: -6989, -2\/3, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.13459578 to 3 dps.\nAnswer: -0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 5*f**3 - 5*f**2 - 2*f - 19. What are the prime factors of j(4)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102*j - 7338308 + 20598365 = -37663749. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1742710?\nAnswer: 2, 5, 23, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7260 and 16940.\nAnswer: 50820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0012802 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + 5 - -1 - (-51 - -66).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1539670 divided by -5?\nAnswer: -307934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(35)\/sqrt(5)*2)**2 + 5 + 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3346330816.\nAnswer: 2, 47, 1112477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -18, -82, -192, -348?\n\"Answer: -23*u**2 + 5*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 78830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 5*j**2 + 3*j + 5. Let w(n) = -14*n**2 - 8*n - 14. What is 4*w(z) + 11*x(z)?\nAnswer: -z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -144.3 - -144. Let z = 0.28 + 0.02. Which is the second biggest value?  (a) -3  (b) z  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 85140127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = -4*f + 3*p + 371, 2*f - 7*p - 203 = 0. What is the remainder when 1304 is divided by f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3521 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2b (base 12) to base 2.\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 110 or -1\/2958?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(17) + sqrt(68)\/sqrt(4) + -5*sqrt(153).\nAnswer: -13*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 48683461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1165, 1267, 1369?\nAnswer: 1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 + 6150*i - 12287. Determine x(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 176911 - 99802. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 111 + -61901333728.\nAnswer: -61901333617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 194481871.\nAnswer: 1303, 149257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 AM and 5:05 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -56*c - 101. Let d be (-2)\/(-3) + (-50)\/3. Let q = d - -46. Calculate the remainder when q is divided by l(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 + 10*n**2 + 9*n + 4. Let g be w(-9). Suppose g*l + 12 = 7*l. Calculate the least common multiple of 2 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + 4. Suppose 0 = 5*n - u - 7. Let w be 0\/n - 30\/(-6). Solve -2 = 3*g + 5*v - 0, -w = 5*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21746, 18506, 15252, 11978, 8678, 5346, 1976, -1438?\nAnswer: -4902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 91 - -53. Suppose 0 = -9*j - 40 + 193. Suppose 13*x = 217 + j. What is the greatest common factor of x and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1179150097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31 - -45. Let j = -11818 + 11817. Sort j, s, -4, 0 in decreasing order.\nAnswer: s, 0, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence op when two letters picked without replacement from iiwwobwooiiporii?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 + -5. Let q(y) = -y + 6. Let h be q(-6). Let b be (-7)\/h - 2\/(-8). What is the nearest to b in o, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -5*b**3 + 2*b**2 + 3*b - 2. Let s be n(2). Let c be (-36400012)\/s - 3\/7. Round c to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -363 divided by -72?\nAnswer: 121\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r**3\/5 + 74*r**2\/5 + 349*r\/5 + 276\/5 = 0. What is r?\nAnswer: -69, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 691\/18 + -227\/9. Suppose 0 = 5*v + 2*w - 102, -2*w = -3*v - 2*v + 98. Find the common denominator of l and (-226)\/(-6)*(-3)\/v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l + 20. Let u be o(15). Suppose u*z - 45 = 5*m, 4*m = -0*m + 8. Solve 9 = -j + y, -3*y = 4*j - 3*j - z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 5*y + 16 = 4*y, -w = 5*y - 25. What is the derivative of -3*b**2 - 2*b - w + 2*b - 2*b**2 wrt b?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2145530 to the nearest ten thousand.\nAnswer: 2150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 7 + 18 - 22 + 6*z + 1. Determine g(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.569 - -2.569. Let w = -9 + 9.14. Which is the nearest to -0.1?  (a) w  (b) z  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2. Let c be (0 + 0)*((-5)\/(-15))\/(-1). Let v(a) be the second derivative of -a + c + 0*a**2 - 2\/3*a**3. Give v(k(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 179 and 6802?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2723*a**3 - a*r**2 + 2*a - 35610*r**2 with respect to a.\nAnswer: 8169*a**2 - r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1\/3 - 1\/9. Let d = -104649 - -104649.2. Sort r, 0.1, -4, d in descending order.\nAnswer: r, d, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 4, v: 1, m: 1, y: 2, c: 5, n: 2}. What is prob of sequence ncv?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/14)\/((-188)\/(-2632))*-1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2069, 8280, 18631, 33122, 51753?\n\"Answer: 2070*s**2 + s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 1914 divide 52916358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 2*l - 16, 4*v + 461*l + 14 = 466*l. Let f(x) be the third derivative of 7*x**2 + 0*x + 0*x**3 + 0 + 1\/2*x**v. Let t(u) = -2*u. What is t(f(y))?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -497?\nAnswer: -149.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/7))**(-3\/28)*(d**(-1\/4))**(-2\/113)*d**(-2\/17)\/(d\/d**5)*d**(-7)\/(d*d\/(d*d**(5\/2))) assuming d is positive.\nAnswer: d**(-297939\/188258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/7  (b) -2\/5  (c) -0.8  (d) 3  (e) -5  (f) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1722276*s + 1722370*s - 940 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/4)\/(f**(-2)*f))**(37\/2)*((f\/(f\/(f\/(f\/(f**(-1)*f)))))**(-44))**2 assuming f is positive.\nAnswer: f**(185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**2 - 7*v + 1. Let s = 3 + 3. Calculate x(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*u = 13*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 700656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1524612 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, -115, 2\/199, 2\/13 in ascending order.\nAnswer: -115, 2\/199, 2\/13, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2 - 11169*o + 22931452.\nAnswer: -(o - 1772)*(o + 12941)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -74, -100, -172, -314, -550, -904, -1400, -2062?\n\"Answer: -4*d**3 + d**2 - d - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 501*w + 20213. Calculate s(-41).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(208)*3)\/(sqrt(196)*3 + sqrt(196)).\nAnswer: -3 + 3*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25\/12 + 199\/84. Sort w, -1, -0.2 in decreasing order.\nAnswer: w, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -79, 2, 0.\nAnswer: -79, -24, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -317500 rounded to the nearest ten thousand?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 106 - 100. Suppose -10 = 4*k - i*k. Solve -4*x - 5 + 17 = 2*v, 3*v = -k*x + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 - 3*q**2. Let o be r(3). Suppose 0*i + 2*i = o. Solve 2*u + 5*c - 14 = i, u = -6*c + c + 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002694369115 rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -207 + -140. Let g = j + 545. Calculate the highest common divisor of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 144242 or -239?\nAnswer: 144242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 264475 or 264497?\nAnswer: 264475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 10 = 2*a - 44, 3*a + 5*d = 11. Let x = -354 - -384. Let z be (620\/x + 6)*(-18)\/(-5). What is the greatest common divisor of z and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hmmxbh. What is prob of picking 1 b, 2 h, and 1 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of 1438*f**4\/3 - f**3\/3 + 299*f**2\/2 + 5554*f. Find the second derivative of i(j) wrt j.\nAnswer: 11504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37.4370484185 - 0.5.\nAnswer: -37.9370484185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*i + 3*i - c, 4*c - 8 = 0. What is the second derivative of -24*z**3 - 12*z - 18*z**2 + 3 - 134*z**3 - i + 18*z**2 wrt z?\nAnswer: -948*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -226  (b) -6.57  (c) 0.277\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 70 and 10794.\nAnswer: 53970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-25727)\/91 + 2\/(-7). Let r = 313 + n. Solve h - 6*h + 3*c = r, -5*c = -3*h - 34 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -236 - -356. Does 24 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 - 13.1. What is the closest to q in 2\/5, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -144 or -149?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/243  (b) -3\/4  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -6*j**3 - 5*j**2 + 72*j + 4. Calculate i(-7).\nAnswer: 1313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-1 + sqrt(63)).\nAnswer: -18*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (20\/(-16))\/((-1)\/4) is divided by -2 + 3 + (1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0*-1*(3 - -4 - 6). Solve h = 8*x - 81 + 41 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -4*d + 12. Let p(m) = 9*m - 23. Give 13*o(i) + 6*p(i).\nAnswer: 2*i + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010010001100 (base 2) in base 8?\nAnswer: -12214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b + 0 + 0)*(-2 + 1 + 0)*(63*b**3 - 6*b**3 + 160*b**3).\nAnswer: -217*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of -o**6\/30 + 587*o**5\/20 + 636*o**2 + 655*o. What is the derivative of m(k) wrt k?\nAnswer: -4*k**3 + 1761*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 - 22*g**2 + 57*g + 217. Let p be j(-24). Is p > 52\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 4*w - w - 12 = 0, 2*h + 8 = 2*w. Suppose -o + 27 = -h*o. What is the remainder when o is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2000 divided by -16?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -4, 14, 2, -155 in descending order.\nAnswer: 14, 10, 2, -4, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b*b\/(b*b**2))**(-1\/5)*(b\/(b*b**7*b))\/((b**(-2\/3)*b)\/b)*(b*b*b**1*b)\/b*b**(-2\/13)*b*b**1\/b*b**(-2) assuming b is positive.\nAnswer: b**(-1109\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00008403 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 6 = 2*h, 3*h = 3*b - 147. Let y = 1254 - 896. Suppose y = 2*s + b. List the prime factors of s.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/3  (b) 1  (c) -15  (d) 5  (e) -3550  (f) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 199879171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*m**3 - 5*m**3 - 2*m**4 + (-1 + 2*m**3 + 1)*(0*m + 2*m - 4*m) - 53*m - 24*m**4 + 53*m - 2*m**4 + 0*m**3 + 0*m**3.\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**3\/7 - 60398*t**2\/7 - 1448688*t\/7 - 8690400\/7 = 0. What is t?\nAnswer: -30175, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*k - 1662 = 543. What is the units digit of (-14)\/k - (-150)\/27*40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -5*i - 0*c + 61, 2*c = 4*i - 50. Suppose 29 = u + n, -3*u - i = n - 100. Let k = u + -17. What is the greatest common factor of k and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*f - 20 = 49*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence er when two letters picked without replacement from {e: 3, m: 2, v: 4, r: 6, u: 1}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -4*j - 14. Suppose -1 + 7 = -2*m. Let c(n) = n + 3. Suppose 5*w + 38 = -2*k - 0*k, 0 = w + 2. Calculate k*c(q) + m*s(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + 4057?\nAnswer: 4056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 282*v + 50500. What is w(-178)?\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**2 - 16*i + 13. Calculate a(8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of t**2*y**4 - 14*t**2*y + 6*t**2 + 22*t*y**5 wrt y.\nAnswer: 12*t**2*y**2 + 440*t*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 85, 7, 35, 223, 625?\n\"Answer: 9*r**3 - r**2 - 138*r + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -53*q**3 - 1. Let i be r(-1). Let n be 1 - 10\/(-15)*420\/4. Suppose -n = -5*v - 6. Calculate the greatest common divisor of v and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 + 5*i**2 + 5*i + 2. Let x be g(-3). Suppose x*t = -w - 8, 2*t - 2*w = 2*w - 12. Let y = 4 + t. Sort 4, y, 3.\nAnswer: y, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/((-4060)\/63))\/(144\/(-240))?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 194 and 29294.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 0.0291, 1.4, 0.4, 117.\nAnswer: 0.0291, 0.4, 0.5, 1.4, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8 + (-13 - -7) + -2. Suppose 0 = -0*d - 5*d - 5. Put -5, s, d, 5 in ascending order.\nAnswer: -5, d, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4 - (-1463)\/63 - 4\/18. Suppose -a*k + 15*k = -5616. Does 39 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3.38, -45, -3425?\nAnswer: 3.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 5) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -28605*j - 8. Let c(h) = -11*h + 12. Determine r(c(b)).\nAnswer: 314655*b - 343268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 PM and 3:49 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 2:17 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 + -7.16. Let g = a - -0.06. What is the closest to g in 0.4, 3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 3 b when four letters picked without replacement from {m: 2, b: 8, o: 5}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -2, 1547, 0.5, 59?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14\/1*3\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.899215280661+6\nAnswer: 6.899215280661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 35*r - 2*q - 204, -8043*r + 8046*r = 3*q + 9 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 14.1972 and 19168943.\nAnswer: 19168957.1972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 + f**2 + 3*f + 1. What is g(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3  (b) -0.03  (c) -0.5  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 20408957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4346389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-123 - -2) + 2)*1. Let o = -71 - n. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 368*u - 371*u + 126 = 0. Which is bigger: u or 38?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.0721119 and -0.1705.\nAnswer: -0.2426119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = -5*y - 6*q, 285*y = 281*y - 5*q - 33 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*m - 39*m - 112*m + 16*m as f*m + t and give f.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -43 and -0.3.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 325 = 5*s - 4*m, 3*s - 168 = -2*m - m. Is s at least as big as 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -99\/19 - -373\/57. Solve -2\/3*m**2 + 2 - z*m = 0 for m.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13.1?  (a) -11  (b) 0.4  (c) -3\/2  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 496 by -496.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1311300 + -1023?\nAnswer: -1312323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, 3, -2, -9, -18?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**3 - 3*k**2 + 4. Let z be 924\/(-441) + 26\/273. Give u(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 1:50 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 6, r: 3, k: 2, a: 1}. What is prob of picking 3 u and 1 r?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00022937 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -6995 > -6994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, o: 11}. What is prob of picking 3 o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 33 - 13 = 4*m, 3*f - 99 = m. Suppose 2*r + 10 = -0*r. Is (r\/10)\/((-2)\/f) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2 - 19*i + 35. Let f be q(-21). Let h(l) = 2*l + 23. Let o be h(f). Solve -3*t - o = -2*y, -3*t - 2*y + 3 = -4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 288 and 54.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64 divided by -16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 4*c - 5. Suppose 35 + 10 = 5*u. Suppose u = -3*d - 3*h, -3*d + h = -3*h - 26. Let n be j(d). Solve -n*g - 11 = -2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2290, 2, 0.1, -5, 0.37?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)*-1*3)\/(1*sqrt(576)) + -1.\nAnswer: -sqrt(17)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 400 - 31?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a - 4. Suppose -t - 4*t = 35. Let c = -5 - t. Let g be 3 + (42\/(-3))\/c. Calculate u(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21339*j*n**2 - 11*j*n - j + n**2 + n + 59 wrt n.\nAnswer: 42678*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.149 + 1.909. Let u = s - -21.24. Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29 - 43. Let c = 19 + y. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 52596 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 11012212 (base 3) in base 14?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the first derivative of 3*o**2\/2 - 2*o - 1. Let m(g) = -4*g + 3. Suppose 0 = -44*v + 405 - 625. What is v*m(l) - 7*n(l)?\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1867235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-3)\/(-6)*1*(-2024)\/88.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -10  (b) -0.5  (c) 0.107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 158.8756 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 + 0 - (-81)\/36. What is the nearest to 2 in -0.2, d, -2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - 1010001000100010000110?\nAnswer: -1010001000100010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -968*u**3 - 159*u - 27 - 301*u**3 + 27.\nAnswer: -1269*u**3 - 159*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 573129 to the nearest 1000.\nAnswer: 573000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 17 = -19. Suppose 0 = z - 5*z + o. Suppose -z*u + 99 = -81. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1437559 divided by 13?\nAnswer: -1437559\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000172919014 rounded to 7 dps?\nAnswer: -0.0001729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -157\/120 and 13\/440?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1749*a**2*o + a**2*w + 130*a*o + 166*o*w - 12*o - 17493*w wrt w?\nAnswer: a**2 + 166*o - 17493","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 13*b**3 - 10*b**2 + 23*b - 6. Let i be d(6). Suppose 0 = 3*q - 5*k - 3628, -2*k + i = -4*q + 7422. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -4 + -3 + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 8 = 4*p + p, -4*p = 5*a - 14. Suppose 3*d = 3*m + a - 81, 5*m + d - 113 = 0. What is the greatest common divisor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.02 from 16036494648.\nAnswer: 16036494647.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {k: 6, c: 1, o: 2, m: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -122 + 121 - 9\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 3*s**4\/2 - 42*s**3 - 141*s**2 + 42*s + 279\/2 = 0.\nAnswer: -3, -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -5*k, -5*k - b = -2*b. Suppose -i - 2*q = 3*q + 9, k = 4*i + 5*q + 66. Let f = i + 19. Which is smaller: -1\/3 or f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 7*d**2 - d - 3. Let b be a(-1). Suppose z = -4*t + 2485, 3*t - b*z = -4*z + 1862. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**4*h*h*h**4\/h)\/((h*h**(1\/3)\/h)\/h**1))\/((h**1)**(27\/7)\/(h**(2\/3)\/(h*((h*h**(-3))\/h*h*h)\/h*h))) assuming h is positive.\nAnswer: h**(157\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*l**2 + 12*l**2 - 44*l**2 + 4*l**2 + 7*l**2 + 7*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -10*p. Let y = -1408 + 1408. Let u(l) be the third derivative of l**2 + 0*l + 0 + y*l**3 + 1\/30*l**5 + 0*l**4. Determine w(u(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -85435*b**6 + 2432*b**2 - 2 wrt b.\nAnswer: -10252200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/37 or 152\/29?\nAnswer: 152\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 308349 to the power of 1\/2, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 5*w = 2, -4*p + 0 = 5*w - 6. Let c be (6\/(-9))\/(p\/(-6)). Let s = c - -1. Solve -s*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 123  (b) 7\/5  (c) -4  (d) 1\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - -14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 + 6*v + 31. Let b be c(9). Let f be 0\/((-5)\/(-1) + -3). Suppose 0*d + 3*d - 60 = f. What is the greatest common factor of b and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5331710695.\nAnswer: 5, 53, 1361, 14783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27657.89 meters to millimeters.\nAnswer: 27657890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/14930 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*s - 225 = -91*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/2, -15430, -1.9, -2\/21, -0.4, 4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -48 + -7. Let j = f - -110. Does 34 divide j + 2 + (-11 - -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 522740.\nAnswer: 2, 5, 59, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 q, and 1 p when three letters picked without replacement from {c: 1, q: 6, x: 1, o: 3, p: 3}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence df when two letters picked without replacement from {b: 2, d: 4, v: 4, t: 2, k: 1, f: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 9 = c, 8*d + 41 = 3*d - 4*c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 336 and 5488?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -28521983900 to the nearest 1000000.\nAnswer: -28522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3221957 millimeters in nanometers?\nAnswer: 322195.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 888 - ((2 + -2 - 3) + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1285\/3448 + -1\/431. Suppose x - 131*t + 129*t = -16, 4*x + 31 = -3*t. Which is the biggest value?  (a) i  (b) -1\/2  (c) -0.1  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*k + 2630 - 3760 = 3130 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of 13*w**4\/24 + 33*w**3\/2 + 17*w**2 + 277*w. Determine k(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 546\/(-42) - (-4302 + 3) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 4*t - 8. Suppose -2*c = 2*o - 6, 0 = 2*c - 6*c + o + 37. Let b be k(c). What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 1 - 2 + 4926*h - 4928*h + 12 to l + t*h and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1639.3172 + -1640. Round c to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*j + 72 = 0, 3*u - 29*j - 100 + 277 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -2*g**2 + 30*g - 9. Let t be h(20). Let b be 22\/t + (-1252)\/19. Which is greater: b or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1745 + -1753. What is the second biggest value in -34, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -14\/23, -0.8, -1.13?\nAnswer: -14\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 0*y - 2475 = -3*l, 0 = -4*y. Suppose -4*o - 447 = -5*t - 1583, -l = -3*o - 3*t. What is the remainder when o is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 91\/35 + -2 + 57\/(-45). What is the nearest to 2\/73 in g, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/2191057, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1449567740.\nAnswer: 2, 5, 199, 364213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 19*o - 43. Let s be 1\/(9\/138) + 1\/(-3). List the prime factors of t(s).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 8574902 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.012, 2, -166, 5, -1.16 in descending order.\nAnswer: 5, 2, 0.012, -1.16, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1804*r**2 - 18*r**2 - 578*r**2 + 1581*r**2.\nAnswer: 2789*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m. Let r(u) = -4. Let f(j) = j - 2 + 10 - 2 - 1. Let a(y) = -4*f(y) - 5*r(y). Calculate a(i(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 2*j + 8, -3*i - 5*j + 5 = 2*i. Suppose g = -4*r - 2*g + 113, r - 5*g = 34. Let q = r - i. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29101 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -35 - -44. Calculate the least common multiple of s and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 - 11*k**2 + 12*k + 9. Let o(d) = -d**2 + 13*d. Let v be o(13). Let b = 10 - v. List the prime factors of g(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -220 (base 16) to base 7.\nAnswer: -1405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64885839?\nAnswer: 3, 43, 313, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 690.97 micrograms to tonnes.\nAnswer: 0.00000000069097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -30 - -44. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1065 - 1376 + 997)*(-1 - 2*p + 1) - 2 + 2 + 2*p in the form z*p + i and give z.\nAnswer: -1370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 35*a**3*p**3*s**3 + a**3*p**3*s**2 - 5*a**3*s + 10*a*p**3*s**3 + 59*a*p*s**2 - 2*a*s wrt s?\nAnswer: 210*a**3*p**3 + 60*a*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/(-25) - (-22)\/5. Suppose 5*t - 2*j - 4 = 0, 3*t - 8 = y*j - 0*j. Let b = -1491\/8261 + -1\/751. Which is smaller: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 76*w + 320. What is l(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 2*c + 2*c + 47, -5*z + 307 = -2*c. Calculate the remainder when z is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.28, -611\/20, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -3. Let q = 1\/131 + 389\/524. What is the second biggest value in v, 6\/7, q?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 177642 and 19182?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (7 + -4 + 212)\/1.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 4*f + 321. Let p(v) = -5*v - 242. Let t(n) = -3*j(n) - 4*p(n). Determine t(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 172644362 to the nearest integer?\nAnswer: 13139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10551 is divided by 2098?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1036*y - 1036*y + 291341*y**2 - 293531*y**2.\nAnswer: -2190*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -9*v - 1. Let n be i(-1). Suppose -g + n = 3*g. Suppose 37 = 3*u + 5*x + 7, -2*u - g*x = -20. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 12, f: 3}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64*i**2 - 51*i**2 + 117*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 0*b**2 - 5 + b**2 + 3*b + 0*b + 0. Let n be 2*2 + -1 + 2. Suppose n*f + 15 = -5*z, 5*z - 3*f = -0*z - 23. Give d(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152 = -3*z + c - 156, -4*z = 4*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 124*t**2 - 1468*t**4 - 2*t + 22534895*t**3 - 22534895*t**3 wrt t?\nAnswer: -35232*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 1 = g, 0 = -3*q + 2*g + 14. Let y = -1 + 2. Put y, q, -2 in decreasing order.\nAnswer: q, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-19)\/(((h\/((h\/h**18)\/h)*h)\/h)\/h) assuming h is positive.\nAnswer: h**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 92805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the first derivative of -25*b**8\/336 - b**4 + 18*b**2 - 24. Let g(v) be the second derivative of y(v). What is the second derivative of g(l) wrt l?\nAnswer: -500*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11748 and 28.\nAnswer: 82236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 20 = 0, -2*r - 6 - 22 = -4*y. Let b be (-6)\/r - ((-10)\/(-4))\/(-5). Factor -42*a**3 - 3*a - 5*a + a**5 - 5*a**5 - 20*a**4 + 6*a**3 - 28*a**b.\nAnswer: -4*a*(a + 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1000001001100000111111001 (base 2) to base 16\nAnswer: -104c1f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 2830 + 2895 = 0. Suppose -4*j + 3*s = -48, 3*j + 5*s - 25 = -2*j. Solve j = d + c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3286037 and -227.\nAnswer: 3285810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 118.21 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b**4\/13 + 1439084*b**3\/13 + 11512562*b**2\/13 + 12951576*b\/13 - 25903224\/13 = 0.\nAnswer: -719534, -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/3*1*3. Let n be 2\/4 + (-5)\/i. Suppose n*q - 35 = 5*h, -q + 2*h - 4*h = 3. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*s**2 - 17*s**2 - 28*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, j: 1, i: 9, q: 1}. Give prob of picking 2 i, 1 j, and 1 a.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 899225.7 months to centuries.\nAnswer: 749.35475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*c = -2*r + 23*c + 343, c - 3 = 0. Suppose 36*o = 40*o - r. Calculate the remainder when 702 is divided by o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25 divided by -10312\nAnswer: 25\/10312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 13*c**2 - 3*c + 8. Suppose g + 7 = -x - g, g = -3*x - 16. Let n be 90\/27*1\/(x\/6). Is 12 a factor of b(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 137056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of -2*t**2 - 5*t - 273. Calculate c(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126 + 596 = 47*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21848 = -92*k + 24516 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 410113\/6484*4\/11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9779452 millilitres in litres?\nAnswer: 0.0009779452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -171 = -20*f - 51. Let s(l) = 23*l - 133. Let y be s(f). Factor 1\/2*c**y + 0 - 1\/2*c**2 + 1\/2*c**4 + 0*c - 1\/2*c**3.\nAnswer: c**2*(c - 1)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.167 - 1818152.\nAnswer: -1818152.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 65.01924 * 0.01.\nAnswer: 0.6501924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.6 + -4.4. Suppose 5*d - 6 = 3*a + 23, 5*a + 5*d = -35. Let i = -4 - a. What is the nearest to 0 in -0.4, i, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.3 + 0.2. Let b be 3 + (-657)\/245 + 0. Let d = -4\/49 - b. Put -0.2, i, d in decreasing order.\nAnswer: i, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rm when two letters picked without replacement from {t: 1, n: 2, r: 1, l: 2, m: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -0*t + t. Find the common denominator of 17\/4 and (-126)\/120*130\/t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -59, -51, -31, 7, 69, 161, 289?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -253146313 and -612.\nAnswer: -253146925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 317656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 2 - (3 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1967460 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2097443, 4194888, 6292335, 8389784, 10487235, 12584688, 14682143?\nAnswer: 16779600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**2 + 10*i - 8. Let r be z(7). Which is the biggest value?  (a) r  (b) -3\/2  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10*(-28)\/(-105))\/(-2)*(-6)\/(-28).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, 7, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -487 - -493. Suppose 3*j - 41 = -2*p, 0 = j - 8*p + 3*p - 25. Let i be (3\/(-2))\/(j\/(-20)). What is the highest common divisor of i and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 40854008 - -3?\nAnswer: 40854011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, p: 1, h: 4, m: 2}. What is prob of picking 1 p, 1 a, and 2 m?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41968312.\nAnswer: 2, 2207, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -25406149\nAnswer: -25406148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.18 times -91\nAnswer: -16.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 - 10*v + 10. Let j = -492 + 498. What is b(j)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 4*v = -22, -j + 2*v - 5*v = 10. Suppose k - 1823 = 2*g - 13320, 5*g - 28741 = j*k. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.03  (b) 19  (c) -0.12  (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 48*g - 317. Give p(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 7*z**3 - 7*z**2 - z - 5. Let g be 7 + (4 - 6)\/2*2. Let d(w) = 4*w**3 - 3*w**2 - 2. Calculate g*d(f) - 2*c(f).\nAnswer: 6*f**3 - f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0017925 to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 63750\/4*(-1216)\/57. What is o rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*f = 24*f + 3*r - 31, 3*f - 4*r + 108 = 0. Is -42 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -83539 - -143562. What is the thousands digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1)\/(u\/(u*u**(-2))*u))**(-41)\/(((u\/(u\/u**(-3)))\/u*u*u**(-9)\/u)\/((u\/u**0*u)\/(u\/u**(1\/5)))) assuming u is positive.\nAnswer: u**(891\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 21379 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 375\/4 + -100. Find the common denominator of y and -28\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2011379626 to the nearest integer?\nAnswer: 44848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2424a + -2684?\nAnswer: -26912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (19\/((-494)\/52))\/((-4)\/270). Let c(q) = -q**2 - 12*q - 2. Let t be c(-8). What is the highest common divisor of t and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 312 and 84?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 692 + -694. Sort l, -4\/5, 1, -18 in ascending order.\nAnswer: -18, l, -4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.4 + -0.44. Let w be -9 - -12 - 7\/3. Is a != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) - (sqrt(108) + sqrt(108) + 1 + -4)**2) + (1*sqrt(1728))\/sqrt(9) + (sqrt(432)*1)\/((sqrt(96)\/sqrt(2))\/sqrt(12)).\nAnswer: -441 + 92*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 49*r**3 - 3*r**2 + r - 2. Let j(s) = 49*s**3 - 2*s**2 - 1. Let p(z) = -2*g(z) + 3*j(z). Let q be p(1). Let u = 12 + q. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (117 - 4*v + 128 - 264)*(2*v**2 - 2*v**2 + v**2) to r*v**2 + t*v + f*v**3 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h. Let f(a) = 3*a - 6. Let c(z) = -f(z) + 4*l(z). Let j be c(-6). Suppose j*q - 2*q = -6. Solve -q*v + 6*v = -6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 83201 * 0.09105.\nAnswer: 7575.45105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*k**2 - 9*k + 150 wrt k?\nAnswer: -8*k - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 2:12 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (20 - 9) + 30?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 - 5*w**2 + 3*w - 3. Let p be i(5). Calculate the highest common factor of 108 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) -2  (c) -3  (d) -0.11187813\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -16*i**3 + 1. Let j(y) = y**2 + 2*y + 1. Let n be j(-2). Determine x(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n**3 - 8*n**2 + 7*n - 1. Let g(z) = 9*z + 39. Let y be g(-4). Let k be j(y). Which is the second smallest value?  (a) k  (b) 0.1  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 84\/(-7) + 2*1. Suppose -29 - 1 = -3*p. What is the lowest common multiple of l\/(3 + -2 + -3) and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19 by -2030.\nAnswer: -19\/2030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 659128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 0 = -m - 7, -2*v = m + 14. Let j be -92 + 47 + 50 + -1 + -1. Sort 18, j, v in increasing order.\nAnswer: v, j, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1610 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of -1603*k**3\/3 + k**2\/2 - 505*k + 1500. What is the second derivative of n(y) wrt y?\nAnswer: -3206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 1. Let a(n) = n**2 - 8*n + 6. Let h be a(6). Let q be h + 3 - (0 + 0). Which is bigger: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 70*y - 4. What is the units digit of j(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -112048294.3 rounded to the nearest ten thousand?\nAnswer: -112050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*r - 3*r - r - 5 + 0*r to x*r + g and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + k**2 + 2*k**2 + 0)*(-194 - 193 + 67) + 0*k**2 - k**2 + 4*k**2.\nAnswer: -957*k**2 - 320","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 0  (b) 2\/3  (c) -20.1  (d) 1  (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/((142\/213)\/((-24)\/(-9)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 - 19 = 4*o - u, -2*u - 21 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 10, w: 4, m: 1, t: 3}. Give prob of picking 1 m and 2 w.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 719244170?\nAnswer: 2, 5, 71924417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1230*n + 546*n - 1368 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = -3*s + 5*r - 50, 3*s - 4*r + 1 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -3188656200 to the nearest one million.\nAnswer: -3189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 78204, 156288, 234242, 312060, 389736?\nAnswer: 467264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1629257673?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22934 + -22898. Solve -5*l = -5*k + 5, -24*l - b = -28*l - 4*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (0 + sqrt(275))*4 - (-1 + sqrt(1100) + 5 + sqrt(1100)*1*-3).\nAnswer: 1 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -4*s - 8. Let r be v(-6). Let t = -323 - -363. Calculate the greatest common factor of t and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - 19. Let u = -29.4 - m. Sort -2\/15, u, 0.6 in decreasing order.\nAnswer: 0.6, -2\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + 35?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(88)*-5*6)\/(2*sqrt(1152)*2).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert a2 (base 11) to base 4.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.06, -1\/3, -0.1, -4, 0.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(12\/11))\/(o**(5\/6)\/o) assuming o is positive.\nAnswer: o**(5\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 + -8. Is o greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 m when three letters picked without replacement from {m: 6, o: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 877855 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/12*2024\/77.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**3\/7 + 7218720*l**2\/7.\nAnswer: 3*l**2*(l + 2406240)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84) + sqrt(84)*-2*-2 + sqrt(84))\/((sqrt(96)*1)\/sqrt(8)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3978 + -3978. Suppose 2*k - o = -4*o, 4*o = -5*k - 7. Let h be 32\/6 - (-1)\/k. Solve 5*p = -h*c + 5, r = -2*p - c - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 409 - 6137\/15. Let m = -523.22 + 522.82. Which is the closest to -3?  (a) i  (b) m  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 653013443.\nAnswer: 653013443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2292*n**2 - 1404*n + 1404*n.\nAnswer: -2292*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 1523 - 7791. Let l = p + 1894. Round l to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 - 8\/2 - (-1)\/(-3). Which is the third biggest value?  (a) 4  (b) 0.3  (c) 1\/6  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 42589 + 259?\nAnswer: 42837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15\/7*u - 3\/7*u**2 - 9\/7 - 3\/7*u**3.\nAnswer: -3*(u - 1)**2*(u + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of j**6\/120 - j**5\/60 + j**3\/3 - j. Let v(r) be the second derivative of z(r). What is the second derivative of v(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -2*t**3 - 2*t**2 + 1. Let z(h) = 2*h**4 + 8*h**3 + 550*h**2 + 3*h - 10. Let r(k) = 4*u(k) + z(k). What is the second derivative of r(c) wrt c?\nAnswer: 24*c**2 + 1084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 + 26*s - 30. Let z be l(24). What is the greatest common factor of z and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 2*m = -m + 10, 0 = -n - m - 4. What is the closest to 2\/5 in 3\/2, 7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28492 is divided by 320?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 - -2 - 2*-1. Solve 4*v + 1 + 1 = 2*o, -p*o + 3*v = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l*l**(4\/9)))\/((l\/(l*l*l**2))\/l*l))\/((l*l**(-3)*l)\/l)**14 assuming l is positive.\nAnswer: l**(275\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 183482*c. Let o(h) = 10*h**2 + 1. Give b(o(n)).\nAnswer: 1834820*n**2 + 183482","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.08 + -507.92. Let y = -514.566 - r. What is y rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 1695*r**4 - 4*r**2 + 4*r**3 + 1661*r**4 - 2*r**3 in the form x*r**2 + k*r + n*r**4 + i + w*r**3 and give n.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 120999566.3 rounded to the nearest 1000000?\nAnswer: 121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2165\/(-130) - -5) + 237\/316*32\/156?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1282 - -3245. Calculate the highest common divisor of x and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -105*d + 1947. List the prime factors of o(-41).\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 (base 2) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 divided by -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -551 - -871. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 812164970 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:24 AM and 4:55 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.046*-3.\nAnswer: -0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -449, -2, 4, -1, 17, 1 in increasing order.\nAnswer: -449, -2, -1, 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/332)\/((-6)\/(-8)*66\/10692*108).\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = 2*h - 20, 2*r + 3043 = h + 3051. What is n in 0 - 216\/11*n - 144\/11*n**2 - 2\/11*n**r - 30\/11*n**3 = 0?\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of 6*j**2 - 12*j - 10503. What is m(10)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of 143*n**7\/42 - n**3\/3 - n**2 + 46*n + 3. What is the second derivative of u(c) wrt c?\nAnswer: 2860*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7143.8 + 7144. Put 3\/4, c, 1\/3, -0.2, 33 in ascending order.\nAnswer: -0.2, c, 1\/3, 3\/4, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/2  (b) -0.4  (c) -1\/38090754\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, m: 17}. Give prob of sequence mp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*m**5 + m**5 + 4*m**5 + (0 - 2*m**3 + 0)*(-m**2 + 71*m**2 - 119*m**2).\nAnswer: 99*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9219215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6.32 + -2.87. Let a = x + -3.35. What is the third smallest value in 2\/25, a, 3\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 3 = y - 2*j, 3*y - 2*j = -5. Let w(m) = m - 1. Calculate w(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 PM and 1:03 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by 474428.\nAnswer: -2\/118607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 72*o**2 - 35*o - 43*o - 69*o**2 - 99*o.\nAnswer: 3*o*(o - 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 18, -4, 0.068, -5, -1\/2, 2\/25?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1671 + 1673. Solve 2*q + 3*s - j = 0, 8*q - 11*q - 4 = s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*p - 29160 = -2106. What are the prime factors of p?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence woy when three letters picked without replacement from {w: 1, y: 1, r: 4, o: 1, a: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 76\/6*3\/2. Let k be b + 3\/3 + 0. Suppose -3*c + 77 = k. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1706110*g*v - 1169390*g wrt v?\nAnswer: 1706110*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.2 or 10\/14467?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + 3\/9)*15. Let n(v) = v - 3. Let f(u) = 5*u + 1. Let z be f(1). Let j be n(z). Solve 0 = -4*g - 3*s + 8 + 18, -h*s - 5 = -j*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of -u**5\/40 - 5*u**4\/4 - 25*u**3 - 250*u**2 - 29*u - 29. Let l(o) be the first derivative of s(o). Solve l(m) = 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1386394300 rounded to the nearest one million?\nAnswer: 1386000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes after 6:09 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -8. List the prime factors of 2*-9*(5 - w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -2*x - 4. Let c(a) = -a - 3. Let r be c(0). Let w be q(r). Which is bigger: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23 (base 10) to base 7\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aevavvaavaavaaaaaaaa.\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2005 is divided by 168?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from {x: 3, k: 1, a: 1, n: 1, w: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (8 - 6)\/(-1 - 1). Let t(w) = -w - 1. Let v(y) = -5*y**2 + 4*y + 5. Let u(j) = 9*j**2 - 7*j - 9. Let n(q) = 3*u(q) + 5*v(q). Calculate x*n(r) + 2*t(r).\nAnswer: -2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m + 1. Let q be b(1). Let a = q + 0. Let -9\/2*x**4 + 0 - x**3 + a*x**2 - 7\/2*x**5 + 0*x = 0. Calculate x.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5037 + -5028. Suppose 0 = -2*z + 5*z - 9. Solve 0*l + m + a = 2*l, z = -m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5 and 111940735.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v - 13. Let s be n(7). Suppose -s = -3*l + 5, 2*x + 2*l - 32 = 0. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -2*f**3 - 13*f**2 - 11*f - 28. Give y(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/(-16))\/((-3)\/6). What is the nearest to -0.1 in 0.1, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3259 bigger than 3270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - (-9)\/(-12))\/(1008\/(-1344)). Sort -1, u, 24, 0.07, -1\/2.\nAnswer: -1, -1\/2, 0.07, u, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 9, m: 10}. Give prob of sequence xmxx.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (0 - 7 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/10?  (a) 20  (b) -1.1  (c) 4  (d) -177  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21 - 18) + -1 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1877585011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:23 AM and 7:42 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(2\/13)\/s**(1\/5))\/(s**(-5\/8)*s**(-21)*s) assuming s is positive.\nAnswer: s**(10701\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 - (12 - -3 - 10 - -3)) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -36 + 35. Which is the nearest to 1\/2?  (a) 5  (b) -0.3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 1012*a**2 + 2155*a**2 - 3169*a**2. Let x(j) be the second derivative of 0*j**2 - j + 0 + 1\/6*j**3. Give x(d(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(76) + 3)**2.\nAnswer: -255 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (216\/(-45))\/(-1)*(-50)\/(-30)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*d + 6*d + 49 - 2*d - 11*d.\nAnswer: -d + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 556317 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4706 by 3.\nAnswer: -4706\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4753 is divided by 2372.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1264 is divided by 98.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 - (24 + -6 - 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-197)\/(-6 - 153\/(-27)) - -1*2 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 28 = -x. Solve 4*p + 19 = a, -2*a - x = 2*a + 4*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 11:53 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -26*u*z**3 - u*z**2 + 3784*z**3 - 85*z**2 - 495 wrt z.\nAnswer: -156*u + 22704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4911*a - 4913*a + 19684*a - 4918*a - 4937*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003163 rounded to five decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 270171000 to the nearest one million.\nAnswer: 270000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 194\/581 + -4\/83. Let k = 97 + -93. Sort k, m, -4\/7 in increasing order.\nAnswer: -4\/7, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 473.4  (b) 1\/13  (c) -77\/12  (d) -2\/5  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((64\/12)\/8*-54)\/(11\/55*-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2853 a factor of 1006367220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 41909988 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -7, -18, 7\/5, 1\/3, 3, 2\/9, -187?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 4*i - 30. Let j be b(5). Let y be 6 - (j - -6 - 5). What is the highest common factor of 65 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 + 10*y**2 + 3*y + 5. Let l be d(-5). Let k = l + -82. Let w = k - 11. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 443, 1599, 3389, 5717, 8487, 11603, 14969?\nAnswer: 18489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 706599, 706618, 706647, 706686, 706735, 706794, 706863?\nAnswer: 706942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 136*t**2 - 2686*t - 2690. Let m(q) = -69*q**2 - 3*q. Let n(f) = -g(f) - 2*m(f). Factor n(w).\nAnswer: 2*(w + 1)*(w + 1345)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1898 + 1.8102. Let p(f) = f**2 + 17*f + 14. Let s be p(-16). Which is the second smallest value?  (a) o  (b) 15  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 435 and 159.\nAnswer: 23055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.237 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8250416777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83326*n + 83325*n + 2*i = 5, 2 = -n + i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + -155b4?\nAnswer: -155b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22 + 143. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 319*j + 180 = 272*j, -2*j - 10 = -t - 0*j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 16*s**2 + 11*s - 90. Let y be o(-17). Solve y*q = 10*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7118692*g**2 - 63 - 68 - 3*g**4 + 15 - 14*g - 7118691*g**2 in the form w*g**4 + k*g + n + f*g**2 + b*g**3 and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-two ninths of a week in minutes?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4992129 and -3.\nAnswer: 4992126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(204) - (-2*2*sqrt(204) + sqrt(204)))\/(-2*-1*sqrt(12) + sqrt(12)) - (sqrt(17)*-4 + 1 - (sqrt(17) + -2*sqrt(17))**2*-2)) + -1.\nAnswer: -36 + 16*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 2*i = 5*w - 1150, -3*i = 5*w - 2869. Let j be 16\/w - 4\/(-26). Which is the biggest value?  (a) 6  (b) j  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 8, -g - 39 = -2*g - 5*w. Let l = g - 16. Solve 4*z = -z - 2*s - 26, l*s + 25 = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -0.3, 2\/19, -1\/1002?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0399958 - -0.0399. Round q to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 53.9 + -48.988. What is m rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.021 + 0.046. Is 2 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of g**4*r - 2*g**4 - 3*g**3*r - 114*g**2 - r wrt g.\nAnswer: 24*g*r - 48*g - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*k - 4201202987 + 4201202987.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -24*h**5 + 108*h**2 + 751*h**4 + 27*h**5 - 721*h**4 + 99*h**3.\nAnswer: 3*h**2*(h + 3)**2*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/7*(20 - (14 + 7))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 240 = 2*c, -5*c + 8*r - 4*r = -594. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(60)\/(sqrt(10)\/sqrt(2)) - sqrt(12) - 4*sqrt(48)\/sqrt(4))\/(sqrt(294) - (sqrt(294) + sqrt(294)*1)*-1))**2 + 3.\nAnswer: 1355\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -2*v**3 - 7*v**2 + 13*v - 2. Let m(n) = -n**3 - 2*n**2 + 6*n - 1. Let d(f) = -7*m(f) + 3*x(f). What is d(7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (142 - 131) + -39 + 4 + -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54318397 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2\/3123 - -3137\/21861. Sort 0.3, b, 12 in ascending order.\nAnswer: b, 0.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10700318?\nAnswer: 2, 5350159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 2460 divide 301180260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of -r**7\/70 + 3*r**6\/20 + 3*r**5\/2 + 14*r**2 + 2*r. What is the third derivative of j(f) wrt f?\nAnswer: -72*f + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 76b8 (base 12) to base 9\nAnswer: 18865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x + 2. Let u be r(-2). Suppose 2*b = -u*b + 16000000. Round b to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = 10*p - 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 + (-6*1 - -1). Let a = -56 - -80. Let r = a + x. Calculate the greatest common factor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 2*v = 8. Suppose -944 = -4*y + v*m, 4*y - 5*m = -2*m + 946. Find the common denominator of 39\/22 and y\/(-20) - (-2)\/5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 + w**2 - 3*w**2)*(6*w - 2*w - 3*w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3609477.54 rounded to the nearest 10000?\nAnswer: 3610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 91327 and 14491?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.042 + -0.022. Is b > 2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(88) - ((sqrt(88) - (1*sqrt(88) - sqrt(88))) + sqrt(88))))\/((sqrt(48)*1)\/sqrt(6)) + (-5 + 1 + sqrt(1100))*-3.\nAnswer: -28*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-4 - (5 - (-6 + 1))) + (-132 - -145)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7899371.1 nanoseconds?\nAnswer: 0.00000219426975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -71*v - 92. Let f(x) = 142*x + 187. Let h(p) = 6*f(p) + 13*j(p). What is the derivative of h(r) wrt r?\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 minus 189443244708118?\nAnswer: -189443244708118.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 33 + 100?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*u + u - 3*u)*(-4*u + 7*u + 2*u) - 1 + 1 + u**2 to c + v*u + z*u**2 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of ((-11)\/(-5))\/((-26)\/(-390)) and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + -28. Let v = 24 + r. What is the smallest value in -2\/5, v, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10\/42991 and -38\/9913.\nAnswer: 426169783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 4)*(4*s - 2*s - s)*(12 + s**3 - 24 + s**3).\nAnswer: -4*s**4 + 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 64 = 5*d + 4*l, 0 = -4*d - 2*l + 38. Let v(r) = 102*r - 57*r + 7 - 51*r + r**2. What is v(d)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*p + 7*p + p + (-2*p + p + 0*p)*(4 - 1 + 3).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*h**2 - 5*h**3 - 7*h**3 - 3*h**2 + 11*h**3 to the form b + a*h**3 + v*h**2 + n*h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 8*l**2 - 17*l - 49. Let z be b(15). What is the greatest common factor of 88 and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 - 112\/5. Put 2, a, 3\/7 in increasing order.\nAnswer: a, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 - 3*u - 1. Let m be c(-3). Let z be 0\/98 - (1 + -6). Let n = z + m. Calculate the smallest common multiple of 22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 263755200 divided by -4.\nAnswer: -65938800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 59, 60, 63, 68, 75?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1\/9, 60\/29, -2\/5 in descending order.\nAnswer: 60\/29, -1\/9, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -4*v**3 - 2*v**2 + 9*v - 10. Let s(f) = 3*f**3 + f**2 - 6*f + 7. Let n(m) = -5*j(m) - 7*s(m). Suppose n(y) = 0. What is y?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -4*l, 0 = -j - 2*l - 705 - 198. Let y = -618 - j. What is the greatest common factor of 25 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3033, 3052, 3097, 3180, 3313?\n\"Answer: 2*j**3 + j**2 + 2*j + 3028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4911 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -246*o**2 + 19*o**4 + 360*o**3 + 3*o - 1 - 4*o**4 - 3*o - 18*o**4 wrt o.\nAnswer: -72*o + 2160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l + 14*l + 160 = 0. Let x be (-13)\/3 + (3 - l\/(-3)). Which is the nearest to -2?  (a) x  (b) 3\/2  (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4 - (4 + 2\/(-6)). Let m = 198 - 1784\/9. What is the nearest to m in b, -5, 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 78 - 24. Let q be (-2151)\/s - (-2)\/(-12). Let j be (6\/(-5)*-2)\/((-12)\/q). Which is greater: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 77 + -12. Suppose 2*v = 2*s - 32, -4*v = -0*v - 5*s + u. Let r = -9 - v. Solve -7*p = -9*p + r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.33 - 1.3. Let h = 4.03 - v. Which is the second smallest value?  (a) -13  (b) -5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -68.8 * -2.1.\nAnswer: 144.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 184 divide 2040928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2070.9 + -2363. What is o rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6367 is divided by 1265.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b - 11*b**2 + 3*b - 6*b. Let a(k) = -4*k + 5 + 3*k - 5. Let x(z) = -2*z. Let o(c) = -4*a(c) + x(c). Calculate g(o(n)).\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, -1\/6, 107, -3 in decreasing order.\nAnswer: 107, 1\/2, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*o**3 + 3*o**3 - 2*o**3 + (o**2 + o**2 - 3*o**2)*(332 + 404 - 475)*(-2*o - 4*o + 4*o).\nAnswer: 523*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4380 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84*v**3 - 96*v**3 + 93*v**3.\nAnswer: 81*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23955165 and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2953, -6066, -8987, -11716?\nAnswer: -14253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 + 28*t**2 + 382*t - 73. Let g be o(38). Factor -10\/11*p**2 - 4\/11*p + 32\/11*p**g + 0 - 18\/11*p**4.\nAnswer: -2*p*(p - 1)**2*(9*p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8653 + 76981 = 146*h. What is the lowest common multiple of h and 864?\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/2*(-11)\/(-77).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = t - 13. Let f = -11 + 1. Let x = t + f. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13099160771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(51)\/(sqrt(192)*-4).\nAnswer: -sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 303 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 18 and 82?\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -4, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/4*-6*36\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 2*g - 5500 = 0, -47*x + 10996 = -39*x + 5*g. Round x to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 463 + 3*b**2 - 67 + 3084 + 991 to the form h*b + s + o*b**2 and give s.\nAnswer: 4471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 8:53 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(13) - sqrt(208)*-2 - sqrt(143)\/(sqrt(11)*-1)) + -2).\nAnswer: -10 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 719903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.8, -5\/29.\nAnswer: -2, -0.8, -5\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2205.000005395 + 2205. Round q to 7 dps.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32648 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - 5)\/(-105)*-1.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1865 + -162263\/87. Are 1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32472.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (2697 + -2694)\/(5\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**2 - 25*i + 5328. What is t(62)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1008) + 1 + 0 - 2*sqrt(1008)*-1)**2.\nAnswer: 72*sqrt(7) + 9073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4243, 19080, 44509, 80530?\n\"Answer: 5296*q**2 - 1051*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/12 - (-14)\/(-4). Let o be 4*(2 - (-2 - p)). Solve 15 = o*x + 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1910 - 1822. Let w = 109 - 78. What is the remainder when q is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87.18308 centuries to years.\nAnswer: 8718.308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3*d + 1. Suppose 4*z + 93 + 95 = 0. Let x = 48 + z. What is b(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21)\/2*(126\/(-27))\/(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -76.9432 - 0.0568. Let k = 77.16 + v. Which is the biggest value?  (a) k  (b) 2  (c) 4\/11  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -652 - -969. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -3 + -32 + 16.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (138\/(-5))\/((-50)\/125). Is z equal to 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of i**7\/105 + 13*i**6\/60 + i**5\/30 + 511*i**3\/6 - 2*i**2 + 15*i. Find the third derivative of f(x) wrt x.\nAnswer: 48*x + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 22 = 4*t - 3320, r = 2*t + 3322. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 2 = i. Is i + ((-2410)\/6)\/(3\/(-9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6 - (-1 + 2 + 0). Let y be 8 - (-2 - (0 - 0)). Suppose -85 = u*x - y*x. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, k: 1, h: 2, v: 5}. What is prob of sequence kv?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 + 7*m**2 + 13*m - 9. Calculate v(10).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the second derivative of d**7\/14 - d**6\/5 - 9*d**5\/20 + 2*d**4 - 2*d**3 - 27*d. Determine i so that k(i) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1*4\/2 - (-2 - 587) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 3. Let i be 2*(1 - p)\/3. Let n = -207 + 2693\/13. What is the smallest value in i, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 22 = -2*g - 5*q, 3*g - 2*q + 11 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/30421 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4151 is divided by 1766.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -5*q**2. Let p = 85 + -90. Let b(g) = -5*g. Let h(s) = s**2 - 2*s. Let l(x) = p*h(x) + 2*b(x). Give l(v(w)).\nAnswer: -125*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**3 - 120*o**2 + 115*o.\nAnswer: 5*o*(o - 23)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 - v + v)*(-6*v**2 + 4*v**2 + 4*v**2) - v**4 + 5*v**4 - 5*v**4 + 3*v**4 + 2*v**4 + v**4 + (-3*v**4 + 15*v**4 - 31*v**4)*(-4 - 2 + 5).\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7110.993929 - -7111. Round h to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 92 divide 12666 + (0\/39 - (-9 - 1)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69 - 4*k**2 - 7 - 62.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83236239?\nAnswer: 3, 331, 27941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 39*o**3 + o**2 + 3*o - 2. Let l(z) = -z**2 - z. Determine a(i) + 3*l(i).\nAnswer: 39*i**3 - 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + -2)*(63\/9)\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 times 9.7?\nAnswer: 2958.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000047268 to 7 decimal places.\nAnswer: 0.0000473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(720)*2 + -3)*2)**2.\nAnswer: -2304*sqrt(5) + 184356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6180 is divided by 187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3010 (base 5) to base 11\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1639 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 19 = -4*b - 0, n + 15 = 3*b. Suppose -3*q + 3*x = -51, 4*x - 28 + 24 = -2*q. What is the highest common divisor of q and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4.1, -93\/7, 1.29, 5, 0.4?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47851154 is divided by 345?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 400010 + -20114?\nAnswer: 324341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 10, h: 9}. What is prob of sequence hhu?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -26040 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -4 + 2\/(-2) + -1. Suppose -11 = 3*r - 4*r. Let y = c + r. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-4) - 4275\/900.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2\/4 - 6135833*p\/2 - 12271665\/4.\nAnswer: -(p + 1)*(p + 12271665)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 7, e: 3, o: 3}. What is prob of picking 2 o and 2 m?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ciw when three letters picked without replacement from {c: 1, n: 5, v: 3, i: 1, l: 1, w: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -105100 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/4*5\/(-10)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + 0. Determine g, given that -4*g**2 + 0 + 2*g + 1 + 5*g**l = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 316 and 8156.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2104?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*x + 0*x + 3*x)*(x**4 + 3*x**2 - 3*x**2) - x**5 + 3*x**5 - 4*x**5 + (3*x - 3*x + 7*x**3)*(-1 - 3*x**2 + 1) - x**5 + 4*x**4 - 4*x**4.\nAnswer: -25*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 3*a - 12 = 0, -2*k - 2*a - 3 = 5. Let t be (6 - k)*4\/6. What is the third smallest value in -2, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w - 352 = 404 - 708. Let o(d) = 11*d + 4. Let m(f) = -12*f - 4. Determine w*o(q) - 5*m(q).\nAnswer: -6*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(700) + 1 - sqrt(700)) + -4)**2 - ((5 + sqrt(42)\/sqrt(6))**2 - (sqrt(7) - (sqrt(28) + sqrt(7)))*1).\nAnswer: -12*sqrt(7) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 212037137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1392 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*x**2 - 5*x**2 - 4*x**2 - 3*x**2 - 9*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 + 14*m**2 - 2*m**2 + 7 to k + n*m**2 + b*m and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - 1. Suppose f - 389 = -3*q + q, 3*q - 2*f = 587. What is the units digit of 1\/(5\/q) + n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:41 PM and 2:13 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 10 - 19)*(5*p**2 - 2*p**2 - 4*p**2).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56635 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 518402*v**2 - 147*v**3 + 518402*v**2.\nAnswer: -147*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 14\/15 and 62\/4005?\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 43*d + 36*d = -163159, 2*d - 326366 = -2*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 3 + 2)*(-1146*l - 134*l - 352*l) as g + n*l and give n.\nAnswer: -4896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjx when three letters picked without replacement from {j: 8, x: 1, c: 10}?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-204)\/(-33) - 2\/11. Factor 4*u - s*u**2 + 2*u**3 - 4*u**3 + 4*u**2 + 4*u**2.\nAnswer: -2*u*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -3*k - 45. What is g(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11759853 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4ded (base 15) in base 3?\nAnswer: -211211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -5*o + 40, 5*v - 3*o + 12 = -18. Let c be (12\/(-9))\/(7\/v). Is -76 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 5 - 8*a + 8 + 5 + 9*a.\nAnswer: a + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -5*l - 4. Suppose 0 = -5*m + 26 - 51, -5*m = 2*k + 37. Let t(y) = 1. Calculate k*t(w) - h(w).\nAnswer: 5*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -503*j + 58093. Determine i(115).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 2*p + 6. Let d(a) = 18*a**2 - a - 1. Let r be d(-1). Let o = r - p. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 656*z - 5184 = 440*z for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5403*m**3*w**3 - m**3*w - 5*m**3 + 1639*m**2*w**3 - 21076*w wrt w?\nAnswer: -32418*m**3*w + 9834*m**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j, 1 r, and 1 p when four letters picked without replacement from ppppnpppjpprpj?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 19631, 39100, 58557, 77996, 97411, 116796, 136145, 155452?\n\"Answer: -o**3 + 19476*o + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72 - (53 - -26) - 42.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.00545829 or 85?\nAnswer: -0.00545829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*v**2 - 66435*v - 634895 wrt v.\nAnswer: -8*v - 66435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of 27*h**4\/4 - 113*h**3 - 232*h**2\/3 - 52*h\/3 - 15. Factor w(a).\nAnswer: (a - 13)*(9*a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2024  (b) -0.01  (c) 4  (d) 1\/8  (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/72*-45*(-26)\/(-130)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*w + 87 + 25*w + 24*w.\nAnswer: 2*w + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, -0.4, -0.0772?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate m**3 + 21*m - 124 with respect to m.\nAnswer: 3*m**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - 1. Let i = -425 + 426. List the prime factors of (i\/((-1)\/o))\/((-8)\/(-412)).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 + 6*i - 2. Let s be m(-7). Suppose 5*j = s*v - 55, j = -v + 4*j + 17. Is v greater than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 47.201 - 7.201. What is the biggest value in 3\/35, 2\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 4, 8821\/131, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -2*m**2 - 73*m + 16345. Calculate c(74).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 3*t - 76 = 0, -6*l + 5*l - 3*t = -38. Suppose l*b = 91 + 1315. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**24)\/(z*z\/z**(-17))*(((z**(-1\/19)\/z)\/z)\/z*z)**(-4\/19))**(7\/8) assuming z is positive.\nAnswer: z**(8127\/1444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135*d - 279*d + 40846 = -131*d. List the prime factors of d.\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 - 10*r**2 + 8*r + 9. Let q be s(8). Let p(d) = -48*d. Let j be p(-2). Let v = q + j. What is the remainder when v is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(-3*sqrt(343) + sqrt(343)).\nAnswer: -sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 15415280 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/5724 and ((-68)\/(-14))\/((-3460)\/(-2422)).\nAnswer: 28620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**2 - 1. Let m(y) = 5*y**2 - y - 4. Let s(b) = m(b) - 4*v(b). Let o be s(3). Solve -2*t - 20 = -5*d, 5*t + 15 = -2*d - o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 925, 1856, 2787, 3718?\nAnswer: 4649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3007 = 8*p - 7337. Solve -p*h - 35 = -1298*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 8*l - 4. Let j(d) = 18*d. What is the lowest common multiple of t(3) and j(1)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-588)\/(-17150))\/(4*(-15)\/(-280))?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35 - 26. Let g be (-3 - (-24)\/n)*3. Let j(r) = -63*r + 1. What is the units digit of j(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 72, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 34\/5 of a centimeter?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1268278629 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 160*u**2 - 160*u**2 - 19*u**3 - 3863 + 3848.\nAnswer: -19*u**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15\/19, -4\/33, 31 in decreasing order.\nAnswer: 31, -4\/33, -15\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 3*l + 14. Let v be d(-2). Let a(f) = -4*f - 2. Let i(n) = 11*n + 6. What is v*a(k) + 3*i(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 2) + -1 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1942759 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 22.345 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**2 + 6*f - 1. Suppose -4*c + 4*u + 16 = 0, -c = -4*u + 2 - 3. Suppose c*d - 36 = -2*g, -g = 4*d + 3*g - 36. What is v(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -635 + 10792. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 144*b. Let o(s) = -76189*s. Calculate o(t(u)).\nAnswer: -10971216*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*r + 315 + 13*r - 32*r - 315.\nAnswer: -39*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12508387?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*n**4 - n**4 - 4*n**4 + (0*n + 2*n + n)*(0*n**3 + 2*n**3 + 0*n**3) - 3*n**2 + 1 - 4 - n**4 + 2.\nAnswer: 15*n**4 - 3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -288 and -923 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 + 7*m + 11. Let l be n(9). Calculate the remainder when 8\/((42\/(-45))\/l) is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 - 4*c - 2. Let l be k(5). Find the third derivative of -2*i**3 + i**2 - 2*i**2 + 3*i**l + 3*i**2 wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 5182.\nAnswer: 10364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(153) + sqrt(153) + -2*(2 + sqrt(17)) - (sqrt(187) + (sqrt(187) - -6*sqrt(187)*2))\/(sqrt(11) + sqrt(44)\/sqrt(4)*5 + sqrt(11)))*-1.\nAnswer: -5*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1133*a + 2423*a + 47808 = -8396*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.02 + 5.02. Let j = k - 8. Let x = 439 - 440. Which is smaller: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1072 + -1068. Let j(g) = -13*g**3 - g**2. Let i be j(-1). Suppose -q*w + i = -0. Solve -3*k - 13 = 2*l, 4*k = -w*l - 9 - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 j when three letters picked without replacement from jtnhhtnhth?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -57*l - 14299. What is d(-251)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 74 and 0.4.\nAnswer: 29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 582619343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 43402612 - -0.06217\nAnswer: 43402612.06217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + o = -10, -f + 4*o + 14 = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 - (-1)\/1)\/(-1). Suppose -5*u - 3*r - 50 = 0, -2*u + 5*r + 7 = -4. Sort u, 3, -2, w in increasing order.\nAnswer: u, -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 4*i + 18, -4*z + 2*i = -40 + 10. Let a be ((-45)\/z)\/(3\/(-24)). Suppose d + 60 = 6*d. What is the greatest common divisor of a and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (0 + -4 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01729 rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 10*k**2 - 5*k + 8. Let j be i(8). Let o = 77 + j. Find the second derivative of 685 - 41*l - 6*l**2 - o wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1579.327 - -4.027. What is d rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 4*b - 12. Find the common denominator of ((-149)\/b - 2) + -2 and (-63)\/(-20)*(-54)\/81.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lwzw when four letters picked without replacement from {l: 2, z: 2, c: 3, r: 4, w: 8, u: 1}?\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*j - 101*j + 4 = 0. Solve -j*r + 9*r = 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 5 + (sqrt(304) + -2)*-2 + sqrt(304) + -3*(-3 + sqrt(304)) + sqrt(304))**2.\nAnswer: -384*sqrt(19) + 2992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-2*(-4*sqrt(891) + 5) + (-3*2*sqrt(11) + sqrt(1331) + 0 + sqrt(1331) + sqrt(1331))*1))**2.\nAnswer: -17820*sqrt(11) + 971199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 + 2*c**2 - c + 1. Suppose 86 = 5*w + 96. Let m be b(w). Suppose -m*i - 4*i + 840 = 0. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4180?\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 4*d, 3*v + 2*d = d - 15. Suppose -m = -3 + 57. Let k = -55 - m. Which is the closest to 1\/2?  (a) v  (b) -1\/2  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -9*k**2 - 4*k + 7. Let m(r) = -26*r**2 - 11*r + 20. Determine -6*m(v) + 17*z(v).\nAnswer: 3*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f + 12 = 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6116.63 litres to millilitres.\nAnswer: 6116630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.85 - -4. Let v = 47.15 - 48. Let p = r - v. Which is the nearest to -3?  (a) 0  (b) p  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 100364 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 11*w + 30. Let h be w*(-3 - 24\/(-9)). Solve -4*r + 5*k - 41 = 0, -4*r - h = 4*k - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1270  (b) 1  (c) 3  (d) -1\/2  (e) -11  (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1200)*4 - (sqrt(240)*-2)\/sqrt(5) - (sqrt(192)\/(sqrt(196)*-4))**2.\nAnswer: -3\/49 + 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from anxanxaaaaan. What is prob of picking 2 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 20 = 15. What is g in -4*g**3 + g + g**2 + f*g + 3*g**2 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*j**2 + 172*j - 85*j - 87*j.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 112831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 - i**2 + 2*i - 67. Let b be n(0). Let o = b - -142. Let z = -76 + o. Is 0 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*m - 469 = 22*m - 103 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 1346956 = 1346956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3772 divided by 14.\nAnswer: -1886\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (4 - -3) + (-7 - -9) + -24 + 27\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29674571 is divided by 494576?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of j**6\/120 + j**5\/12 - 7*j**4\/24 - 7*j**3\/6 - 3*j**2. Let c be s(-6). Let a = c + 1. Which is bigger: a or -2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 + 6*f**2 - f - 5. Let d be s(5). Suppose r + 3*x = 5*x + d, -2*x + 30 = 4*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of 5*z**4\/24 - z**3\/2 - 3*z**2. Is i(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2449, -2747, -3215, -3829, -4565?\n\"Answer: 4*k**3 - 109*k**2 + k - 2345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -934*x - 15 + 33 + 330*x + 303*x + 104 + 295*x.\nAnswer: -6*x + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 PM and 6:26 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -606820 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 9612 to the nearest 100.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 8 = -3*w - 0, 8 = 4*k - 2*w. Let y be 4\/(-6) - (-8)\/3. Let h(m) = 6*m**y - m**2 - m**k - m**2. Let c(o) = -2*o. Calculate c(h(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5512811 is divided by 228.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 20614 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(7\/((-3)\/3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 45379 and 2922013?\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 93 - 3 - (18 - ((9 - 11) + -6 + 25)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + -15. Let c be ((-6)\/(-3) - w)*1. What is the first derivative of c*l + 2 + 11*l - 23*l wrt l?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -3*b - 5. Let u(q) = -3*q - 6. Let f(i) = -6*p(i) + 5*u(i). Let t be f(-2). Let w(k) = -2*k + 10. List the prime factors of w(t).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 19*v**3 + 4*v**2 + 13*v - 38. Let i be k(3). What is the greatest common factor of i and 1350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24919 times -0.2?\nAnswer: 4983.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -492 = z + 5*l, -z + 5*l + 8599 - 8111 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 374692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 160256\/3 less than 53418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/6)\/(20\/(-30)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.057979 less than -3567.5?\nAnswer: -3567.557979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -9*n - 382. Let o be h(-46). What is the greatest common divisor of 824 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7025 - 2372. Suppose 3*x + b - f = 4*b, 5*b = -2*x + 3123. List the prime factors of x.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 8 + 3*a)*(-8 + 8 + 2*a) + ((-3 + 2 - 1)*(0 + 2*a + 0) + 7*a + 6*a + a)*((4 - 2*a - 4)*(-5 + 3 + 3) + 0*a - a - a).\nAnswer: -34*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2\/15)\/(d\/d**3))\/((d*d**(-8\/7)\/d*d)\/(((d\/(d*d**9))\/d*d*d)\/d)))**(-39) assuming d is positive.\nAnswer: d**(9542\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 298 - 138. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 16*a - 12. Let k be i(3). Suppose -s - k = 3*s. Let p be -1 + s\/(-11) - (-2884162)\/(-209). What is p rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 75 + -66. Suppose -s = 0, -2*a + 5*s + 1 = -r. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 311 - 378. Let x = s + 70. Solve -1 - 2 = -x*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n - 6. Suppose 4*w + f - 93 = -2, -5*f = 2*w - 41. Suppose -5 = 5*j, 2*z + 0*j + w = -j. What is the remainder when m(z) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18096 not equal to 18169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 172 a factor of 1262189664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2*z**3 + z**3 + 71578*z - 6 - 71586*z. Let k(s) = -2*s**3 - 15*s - 11. Determine -11*d(v) + 6*k(v).\nAnswer: -v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -67794.31997 rounded to the nearest 100?\nAnswer: -67800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 - 7*h + 18. Let n(z) = z**3 + 13*z**2 - 135*z + 26. Let f be n(-21). Let r = f - -659. What is v(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-7)*j)\/j*j\/j**(3\/7)*(j**(-2\/9))**4*j**(-1)\/j*j*j**(2\/7)*j*(j**(-2)*j)**(-1\/29) assuming j is positive.\nAnswer: j**(-10957\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 5 = -0. Suppose -p - 1200 = -n*p. What is the tens digit of 2\/7 + p\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (-1 - 4 - (10 + -14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2940187?\nAnswer: 2940187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3319881.\nAnswer: 3, 1106627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -7*r**4\/18 + 23*r**3\/9 - 2*r**2 + 7*r. Factor o(m).\nAnswer: -2*(m - 3)*(7*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -38 + 41 - (4 + (-40)\/(9 + -4)). Which is the fourth biggest value?  (a) j  (b) 4  (c) -5  (d) -3  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -2*t**2 - 18*t + 30. Calculate the least common multiple of z(-9) and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*i + 32*i - 28 = 0. Let x(f) = 8*f**2 + 4*f - 13. Let b be x(i). Let r be (-3)\/(-15) + (-4)\/20. Sort b, 4, r in decreasing order.\nAnswer: b, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 6 + 3 = 0. Sort b, -4, 13, 3 in descending order.\nAnswer: 13, 3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - 187.9?\nAnswer: -178.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -22030*o. Let u(w) = -3*w. Determine u(t(r)).\nAnswer: 66090*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 291.846344 - 0.036344. Round w to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101010100 - 100?\nAnswer: -101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -3*x**3 + 379 + 7*x - 316 + 6*x**3. Let y(o) = 4*o**2 + 3. Determine -3*h(q) + 7*y(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -22 - 1 + 160*o - 113*o - 42*o. Let c(r) = r - 1. What is 4*c(s) - k(s)?\nAnswer: -s + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - 6*u**2 + 4*u. Let z be (24\/(-6))\/2 - -3. Suppose 0 = -5*f + 3*f - 4. Let s be -2*(f + 0) + z. Calculate c(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 40166, 80142, 119970, 159644, 199158?\n\"Answer: -w**3 - 68*w**2 + 40187*w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00308 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 30.13097 and -1.\nAnswer: -30.13097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from {t: 3, h: 3, n: 1, o: 1, j: 2, q: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of c**3\/3 - c**2\/2 - c - 7. Let u(n) = 5*n**2 + 6*n - 2. Let w(d) = u(d) - 2*z(d). What is the second derivative of w(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -46*(-1 - 10\/(-5)). Let g = o - -46. Factor 2\/5*r - 4\/5*r**2 + g + 2\/5*r**3.\nAnswer: 2*r*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - 2) + 0 + 3. Let d(a) = 2*a**2 - 9*a + 8 + v + a**2 - 2*a**2. Calculate d(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-20)\/6*(-5 + 97 - -1). Let j = -102 - b. Let w = -107 + j. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1095.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2844775?\nAnswer: 5, 19, 53, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b**3 + 5*b**3 + 0*b**3)*(-3*b - 41*b - 11*b).\nAnswer: -110*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*n + 2*r = 18*n - 8, -22*n + 74 = 4*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*r + 2*b - 6 + 29, 0 = -6*r - 5*b + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1484\/308 + 2\/11. Let b(g) = 310*g**2 + 9*g - 32. Is b(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -3*q - 15*o + 16*o, -o = -4. Put q, 27, 2\/7, -1 in ascending order.\nAnswer: q, -1, 2\/7, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -165 - -168. Suppose 10*i = v*i + 1694. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - -2. Suppose -4*q + 4*b = 112, p*q + b = -2*b - 124. Is 1 - -2 - q*13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o. Let n(s) = 80*s**2 - 12*s - 6. Let b(k) = 241*k**2 - 38*k - 19. Let u(a) = -6*b(a) + 19*n(a). Determine d(u(z)).\nAnswer: 148*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8 + 18 - (1 - -1). Let i = -14 + r. What is the remainder when 28 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-10)\/1)\/(-8 - -6). Suppose -2*c + 2030 = -0*z - 3*z, 0 = o*c + z - 5041. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1154 (base 12) to base 15\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - 0) + 4 + -1 + (-2 - -34)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(2\/3)\/s)**(1\/48)\/(s**(2\/5))**(-38))\/((((s*s**2*s*s)\/s)\/((s*(s*s**(-1\/5))\/s)\/s))\/((s*(s*s**(-1))\/s)\/s)**(2\/107)) assuming s is positive.\nAnswer: s**(169093\/15408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2684, 2735, 2784, 2831, 2876?\n\"Answer: -q**2 + 54*q + 2631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 3*f = -20, -6*j = -j + 4*f + 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - 1) + 1 + -3. Let c be (r - (-120)\/25)\/(-2). Put 5, 0, c in descending order.\nAnswer: 5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -4. Let b = 24 + -20. Suppose g*q - b = q. Solve -q*t + 0*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((1\/3)\/(22\/33))\/(-1). Let o = -0.5 - -0.46. Let t = o + -0.06. Which is the biggest value?  (a) t  (b) v  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -206 - -206. Which is the nearest to i?  (a) 4  (b) 3  (c) 0.02  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = h + 6, -4*r = -h + 3*h + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.537738 millennia to decades.\nAnswer: 953.7738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 17808193 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2586219799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1370580 is divided by 467.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 169940.6552 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 - (-3)\/(6\/4). Let z(g) = 2*g**2 - 3*g + 1. Let a be z(2). Suppose a*w = -9, h + l*w = 3*h - 42. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 19 + u - 40 + 27. Let n be m(-5). Let l(x) = x + 5. Let w be l(-7). Sort -7, w, n.\nAnswer: -7, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -0.5, 5, -2, 0.7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2468 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 34*l*t**2 + 2*l*t + t**2 + 61 wrt l.\nAnswer: 34*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 15*h**2 + 8*h + 4. Let j be q(3). Let y = j - 159. Solve -3*t - y*c + 3 = -0*t, 5*c = -2*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -5*n**2 - 1729*n - 76376. Determine w(-52).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uwuggwgwwgwgggwwpww. Give prob of picking 2 g.\nAnswer: 7\/57","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 6:37 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 18831, 18828, 18825, 18822, 18819, 18816?\n\"Answer: -3*y + 18834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 5*j**2 - 6*j**2 + 0*j**2. Let h(m) = -3*m**2 + 6*m - 42. Let t(b) = -3*b**2 + 5*b - 35. Let s(p) = -5*h(p) + 6*t(p). Give s(g(o)).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 25 = -61. Suppose 0*q + 2*l = -3*q + 196, -268 = -4*q + 4*l. Let t = q - n. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**4 + 35*m**3 + 570*m**2 - 1260*m - 14040.\nAnswer: -5*(m - 13)*(m - 6)*(m + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 784*t**2*w + 4*t**2 + 6*t*w + 8972*w - 9 wrt t?\nAnswer: 1568*t*w + 8*t + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -738 + 743. Let c(l) be the third derivative of 0 + 0*l**3 + 1\/45*l**i + 1\/90*l**6 + 0*l - 6*l**2 + 0*l**4. Find b such that c(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -78*m**2 + 350533*m - 4494 = 0. What is m?\nAnswer: 1\/78, 4494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.07?  (a) 1\/2  (b) 4  (c) -0.3  (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -214.2 or -116?\nAnswer: -214.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/8 - (-7)\/4. Let p(g) = -g**3 + 6*g**2 + 8*g - 1. Let i be p(7). Differentiate -1 + i*k**3 - c*k**3 - k**3 with respect to k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 0.3628.\nAnswer: 1.4512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -12*r**4 + 14992*r**3 + 1137244*r**2 - 1562896*r - 1542928 = 0.\nAnswer: -73, -2\/3, 2, 1321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 6442 = v - 2*v, -3*a + 19328 = v. Let z = a + -3810. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 29*c - 5. Let p(v) = -59*v + 11. Let l(z) = 4*p(z) + 9*u(z). Is l(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 51?  (a) -6  (b) -2  (c) -65  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -11*d - 2. Calculate v(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of -13*r**6\/6 - 103*r**4\/4 + 357*r**3 + 2857. Find the third derivative of n(a) wrt a.\nAnswer: -780*a**2 - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 233916 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of 19*l**6\/15 + l**5\/20 - 59*l**4\/12 + 52*l + 3. What is the third derivative of v(h) wrt h?\nAnswer: 912*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1023\/(-55))\/(63\/(-585)). Is t bigger than 173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -6921  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 180*s**2 + 16*s - 1?\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-976)\/(-14) - 46\/(-161) is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.01, 5, -1\/6?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**11*i*(i**8\/i)\/i*i)\/((i\/i**(-7))\/i**15) assuming i is positive.\nAnswer: i**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 26179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -0.05, 74\/13, -19, -15 in descending order.\nAnswer: 74\/13, -0.05, -0.5, -15, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 1:44 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 11112 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g**11*g))\/(g\/(g*((g\/(g\/g**(-4\/3)))\/g)\/g)))\/((g*g\/(g*g\/g**(-3\/8)))\/(g*g\/(g\/((g**3*g)\/g)*g))) assuming g is positive.\nAnswer: g**(-263\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from vnnnvxvoxn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -0.19  (c) 53  (d) -21.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 722970583.\nAnswer: 722970583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21 and 16793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxd when three letters picked without replacement from {x: 2, d: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*t + 518*t = 53*t - 436*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 50 and 56.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (9 - 20) + 14 - -6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 664, 1131, 1418, 1531, 1476?\nAnswer: 1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 744410 * -4.\nAnswer: -2977640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3556 and -3.\nAnswer: 10668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2)\/(-5) + 5321\/85 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 107, -1, 5, 157 in descending order.\nAnswer: 157, 107, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 54446.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 268*w**2 + 10*w + 12. Let t be z(-1). Suppose 0 = -t*a + 268*a + 12. Solve -a = u + u, -p - 12 = 4*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9169 minus -2710.113?\nAnswer: -6458.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2433164*r - 1747400*r + 3924326*r.\nAnswer: 4610090*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of z**4\/8 + z**3\/6 - z**2. Calculate the remainder when 26\/4 + 2\/4 is divided by p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.07357 - 0.27357. Which is the nearest to -1?  (a) -0.06  (b) m  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = -112*l - 6587 - 1905, -l - 4*l + 5*l - 3*m - 12 = 0 for l.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 77701 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 172 - 25 + 18*o**2 - 8*o**2 - 4*o**2 - 5*o**2 to l*o**2 + h*o + b and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 28*w + 13. Let j(i) = 7*i + 3. Let d(f) = 2*g(f) - 9*j(f). Determine d(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4749314\/2635 + -9012\/5. Let t = 1040\/3689 - o. What is the closest to -2\/3 in t, 1, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(136) - (sqrt(136) + (1*sqrt(136) - sqrt(136))))*3)\/(1*sqrt(8)*4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (2 - 12) - (-1 - -18 - (-961 + 987)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.091145507 - -0.091072. What is o rounded to 6 dps?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 AM and 9:08 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 74 - 85. Let h be (-3)\/2*(-13)\/(-26). What is the closest to -0.1 in 3\/2, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l**(-1)*l)*l*l)\/l*l**(-7)*l**(7\/5)*l*l**(-2\/3)\/l*l*l)**(14\/9) assuming l is positive.\nAnswer: l**(-476\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2359.1422 - 2.\nAnswer: -2361.1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 6 = 5*f. Suppose -v + 2*v = 5. Put f, 0, v in descending order.\nAnswer: v, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 10*p = -72. Solve -d - p = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -189 + 1325\/7. Let y = 14 + -10. Which is the nearest to d?  (a) 1  (b) 0.09  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 277174.\nAnswer: 2, 138587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of v**3 - 1624*v**2. Let f(j) = -j + 4. Let r be f(7). Let q(g) = g + 7. Determine r*n(o) + 2*q(o).\nAnswer: 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - 1) + 10 - 2. Let m(h) = 4*h - 2. Let i be m(v). Suppose 4*t - i = 18. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 928 divided by 58\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*o - 42*o - 51 = 0. What is the remainder when 93 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45 - 39. Let u(i) = -5*i + 38. Let p be u(f). Suppose -4*x = p, 6*x - 3*x = -5*r - 6. Solve 2*v = -r*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 12 = t. Let q = -60 - -60. Suppose q = 5*f - 2*k - 15, -4*k = 2*f + k - 6. Which is bigger: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1455, -18, -1, 2 in decreasing order.\nAnswer: 1455, 2, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -33146 - -55541. Is k a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 - 7 = 4*p. What is the units digit of p\/(-3) - 3\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 AM and 9:26 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -37.4 - -279927239\nAnswer: 279927201.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -11097, -10738, -10379, -10020, -9661, -9302?\n\"Answer: 359*t - 11456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 12 - 8 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 - 9*z**2 - 10*z - 1. Let f be a(10). Let x be 2 + 1 + 1 + f. What is the greatest common divisor of 15 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -0 + 6. Let v(t) = 6*t + 6*t + t**2 + 7*t - 13*t. Give v(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -132842, -266372, -399902, -533432?\n\"Answer: -133530*l + 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 9, 29, 47, 63?\n\"Answer: -z**2 + 23*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + -318448?\nAnswer: -318443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 - 8*l**2 + 9*l - 2. Let s be m(-9). What is the units digit of 5\/5*(s - -33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(77)*1 - 5*1*sqrt(77))*4)\/((sqrt(252) - -1*sqrt(252)) + sqrt(28) + sqrt(28) - (sqrt(112)*5 - sqrt(28))).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 668\/(-3) + 47\/(-141). Which is greater: -222 or c?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s**2 - 3*s**3 - s**4 + s + 9 + 22*s**4 + 3*s**3 - 8 to the form m*s**3 + y*s**2 + n*s**4 + f*s + i and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -30 + 55. Solve 0 = 3*w - 2*w + 3*i + 18, 5*i = -u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1086*j + 24 - 12 - 3162*j**2 - 11 + 6937*j**2 wrt j.\nAnswer: 7550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 1 = -7. Calculate the highest common divisor of z and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from {p: 6, t: 9, c: 4}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 8813*c**2. Let b(n) = 93*n + 5. Calculate b(j(o)).\nAnswer: 819609*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -15*a**2 + 0*a**4 + 0*a**4 + 4*a - 5*a**4 + a + 15*a**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 41 - 36. Let s(w) = -w**2 + 9*w + 3. What is s(u)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 4*m - 234, 0 = 2*m - 2*q - 94 - 32. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/294947 or -1?\nAnswer: 2\/294947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 582 and 2406.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q - 17. Suppose 13 = 6*j + 1. Let a(y) = -959*y + 959*y - y**j. Determine a(d(l)).\nAnswer: -l**2 - 34*l - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18441 - 14124 + 4278 - 10671 = 906*y for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.99657 millilitres in litres?\nAnswer: 0.00899657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2912 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 37 * -7\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -6*r**3 + r**2. Let n(x) = -9*x**3 + 5*x**2 - 732. Let m(d) = -n(d) + 3*p(d). What is the first derivative of m(g) wrt g?\nAnswer: -27*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, s: 2}. What is prob of sequence ssq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8743847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 775026?\nAnswer: 2, 3, 7, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, -3, 11\/2.\nAnswer: -3, 0, 5, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 2  (c) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/(b\/b**(-7))*b**(1\/5)*(b*b\/((b\/(b\/b**1)*b)\/b)*b)\/b**0 assuming b is positive.\nAnswer: b**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 230221 + 11120?\nAnswer: 302001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 935077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 + 5*h**2 - h - 1. Let n be a(-5). Suppose n*f - f = 60. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(125\/(-50))\/((-6)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 4209, 0.044, 2\/11 in decreasing order.\nAnswer: 4209, 2\/11, 0.044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 4*v - 1. Let o be n(8). Suppose -5*q - 11 = -o. Suppose q*g - 14 = -2, 0 = 3*s - 3*g - 96. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112 - 1375 - 232 = -23*y. What is the remainder when y is divided by 53?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 656 + -656.5. Let i = 0 + 0.2. Which is the nearest to i?  (a) w  (b) -2\/13  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*a + 4*p - 16, -4*p - 6 = -11*a. Solve 8 = -3*w + 2*y, 5*y + 26 = a*w + 35 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -3  (c) 17095\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -724.704 + -1.596. Round j to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -4*v + 3*s + 871, 191 = v + 5*s. Suppose v = 2*z + 2*z. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 3*a - 138 = -2*s, s = 3*a + 66. Suppose 2*i = -i + s. What is the remainder when (-2)\/9 + 904\/18 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -7*q + 143. Let i = 72 - 15. Suppose 0 = a + 3*t + 2*t - q, -a + i = -5*t. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 9*t**3 - 5*t**2 + 35. Let u(z) = -14*z**3 + 8*z**2 - 53. Determine -8*h(w) - 5*u(w).\nAnswer: -2*w**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 130\/50 - 2\/(-5). What is the fourth biggest value in -4, 0.3, x, 0.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -130464 = -3*w + 5*g - 129991, 5*g = -3*w - 467 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -50 - -342. Suppose 4*s = r + 456 + 143, 2*s - 2*r = x. Is 29 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - ((-10 - (-15 + -8)) + -11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(2*sqrt(324) - sqrt(324))*-4)\/((sqrt(75) - -2*sqrt(75))*-4*-3).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27 + 15. Suppose -3 = s - 23. Let y = s + d. What is the highest common factor of y and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 9) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10570209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 k, 1 u, and 1 e when four letters picked without replacement from kucueuccucuuueuukkuk.\nAnswer: 64\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 5 = q. Let r(o) be the second derivative of o**4\/6 + 2*o**3\/3 + 3*o**2\/2 - o. Let y(w) = w**2 + 2*w + 2. Give q*y(t) + 3*r(t).\nAnswer: t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -55210882.\nAnswer: -1\/27605441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1177426 (base 8) to base 4\nAnswer: -1033330112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 - 1. Let g = x + 11. What is the third biggest value in g, -3\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/1402644 and 11\/7836?\nAnswer: 1402644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11548 (base 11) to base 12.\nAnswer: -9759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 35425*j - 3997*j - 4 + 0. Suppose c + 4 = 0, -4*t - 44*c = -47*c + 16. Let n be l(t). Round n to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of b**5\/30 + 2633*b**2. Let f(a) = -252*a. Give f(s(l)).\nAnswer: -504*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the third derivative of -x**5\/180 - x**4\/9 - 5*x**3\/6 + x**2 - 65. Factor u(y).\nAnswer: -(y + 3)*(y + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -684 divided by 6\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 3774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 2853*f + 25670. Calculate y(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -7089 times 9?\nAnswer: -63801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2355978 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.3762597 rounded to 2 dps?\nAnswer: -1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-1\/3))**(-24)*(w**(1\/4))**(10\/9)*(((w**2*w)\/w)**(1\/32))**(6\/17) assuming w is positive.\nAnswer: w**(-19217\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-2\/11)\/u**(-2\/11)*u**5*u*u*u**(-5) assuming u is positive.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -4*z**2 - 5*z + 4. Let f(h) = -9*h - 180. Let n be f(-21). Let v(c) = -c**2 - c + 1. Determine n*v(p) - 2*o(p).\nAnswer: -p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1418 or 1417?\nAnswer: 1417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 81\/(-36)*13\/(780\/(-32)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k - 2*r - 118, 5*k - 2*r = 2*r - 154. Let h = -26 - k. Solve -w + 0*w = -g - 5, h*w - 2*g - 12 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.8 + -0.3. Let b = -1.2 - -0.76. Let s = 0.04 + b. Put -1, w, s in descending order.\nAnswer: w, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-g**2 + 2 - 2)*(2 - 2 + 2*g) - 2*g**3 - 2 + 2 - 255 + 2*g**3 + 256 + 18*g**2 + 0*g**3 as p*g + o*g**2 + r*g**3 + u and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + f - 11*f**3 + f + 5*f**4 - 4*f - 58*f**4 + 9*f**3 + 3*f**2 as r*f**2 + s*f + a*f**4 + o*f**3 + u and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2739, -2736, -2733?\nAnswer: -2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -4423*h**2 + 5*h + 1. Let s(v) = -2*v. Give g(s(k)).\nAnswer: -17692*k**2 - 10*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2278833.\nAnswer: 3, 17, 44683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 311*a*w**2 - 2*a*w - 745628*a - 774954032*w**2 wrt a.\nAnswer: 311*w**2 - 2*w - 745628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of -h**3\/5 + 33*h**2\/2 - 162*h\/5 + 842. Factor y(b).\nAnswer: -3*(b - 54)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r + 4*r - 3 + 3*r)*(2*r**4 - r**4 - 4*r**4).\nAnswer: -9*r**5 + 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1285 + 1297. Calculate the remainder when 4552 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-28)\/42 + (-23)\/(-3). Let u = z - 14. Let d(s) = -34*s - 21. What are the prime factors of d(u)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -2*d**4\/5 - 16*d**3\/5 - 46*d**2\/5 - 56*d\/5 - 24\/5 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, b: 6, d: 4, q: 3, s: 3, r: 1}. What is prob of picking 1 p and 1 d?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 1.277919ml?\nAnswer: 0.001277919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 9*g**2 - 2*g - 1. List the prime factors of n(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3\/7 + 3\/7*a**3 - 3\/7*a + 3\/7*a**2 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -1. Let k(h) = -h. Give 3*a(r) + 2*k(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 63, 1 in increasing order.\nAnswer: -6, 1, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 909 + 51. Suppose z - 27 = 3*o. Suppose -3*g = 4*k - 76, 3*k + 4*g = -0*k + 50. Calculate the highest common divisor of o and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*l - 23*l + 3 - 9*l + 39*l.\nAnswer: 49*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 305 - 238.2. Let s = -68 + r. Let j be 2\/(-9) + (-9)\/((-405)\/28). Which is the nearest to j?  (a) s  (b) 0  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4 - (324 - 2))\/(-1). Let n = 605 + i. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24243427 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: What is the value of 48*(-60)\/18*((-897)\/184)\/(-13)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -18*n**2 + 330*n - 467. Give w(3).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v. Let z(b) = -3 + 8*b + 3 - b. Calculate z(o(a)).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-2*sqrt(700) + -4 + -2 + sqrt(700))**2.\nAnswer: -1320*sqrt(7) + 84736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**3\/5 - 177*w**2\/5 + 1584*w\/5.\nAnswer: 3*w*(w - 48)*(w - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1042*m**3*r**2 + 2*m**3 - 4*m*r + 9*m wrt r?\nAnswer: 2084*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*n + 2166 = 52*n. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4024487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 20*p*r**3 + 4*p*r**2 + 6*p*r - 280*p - 119728*r**3 - 3*r**2 wrt r.\nAnswer: 120*p - 718368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13012167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9459.\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 33*f + 504. Let l be z(-15). Solve 42*r + l = 33*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 2*v**3 + 1016*v**2 + 32*v - 1016*v**2 + 71*v in the form g*v**2 + s + z*v**3 + x*v and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + -1)*3*5*1 + ((sqrt(117) + -1)*-3 + -5)**2 + 3.\nAnswer: 81*sqrt(13) + 1045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 - 13. Let t be (6\/5)\/(15\/(-50)). Is 44 - z - (t + 7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-3)\/290*(-1555)\/(-5598) and -37\/120.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.7 - -3. Let d = -0.71 + -2.29. What is the second biggest value in -1, j, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 15*y**3 + y**2 - 1. Let q be i(1). Suppose -3*g - 15 = -0*z + 2*z, -2*z = -3*g - q. Let f = -709\/7 - -101. What is the nearest to f in -1, 2, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -93*p**2 + 26*p + 141. Let l(s) = -3*s**2 + 4*s + 1. Let n(v) = -6*l(v) + w(v). What is the derivative of n(a) wrt a?\nAnswer: -150*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -461.9 + 462. Let h = -13.7 + 14. What is the third smallest value in 0.05, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 - 1 + 0)*(2*o - o + 3*o) + 2 + o - 2 + (2 - 4 - 2)*(3 - 2*o - 3) in the form l + k*o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 51 - 57 + 8*i + 2*i**2 + 0*i**2. What is the units digit of q(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 28.85219 centuries?\nAnswer: 288.5219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 - -11. Suppose 2*s = -y*s + 15. Solve 1 - s = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6\/(-21) - (-229860)\/126.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19\/63 - 5129\/504. Let x = -179\/6 - -30. Calculate the common denominator of c and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/486)\/(549\/(-54) - -10).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -i*v**2 - 2969*i + 84988*v**2 + 28*v wrt v?\nAnswer: -2*i + 169976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 5*u = 11, 3*f - 25 = -5*u + 3*u. Let l = f - 7. Suppose l = -14*o + 10*o + 8. Solve -o + 14 = -4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6870075941.00000133 + -6870075691. Let r = 250 - s. Round r to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7471314997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 415 divide 97110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2 = 6. Suppose -4*l = -t*q - 32, -2*q + 28 = -4*q + 2*l. Which is bigger: q or -13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(35)\/(2*sqrt(45) + sqrt(45) + sqrt(5)) + -3 - (4*(-1 + sqrt(343)) + -5*(sqrt(7) - (-3*-1*sqrt(7) + sqrt(7)) - sqrt(7))).\nAnswer: -479*sqrt(7)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 - 4*h**2 + 4*h - 3. Let o = 0 - 5. Let s be r(o). Suppose -3*d - a = 4*a + 14, 14 = 3*d - s*a. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 2 + 5*(sqrt(605) + 3*(sqrt(605) + 1*sqrt(605) - sqrt(605)))**2*-2.\nAnswer: -96803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 21\/2, 5\/2, -3, 0.2, -3\/2, -0.7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(27\/2)*l*l\/(l*l*l\/l**35*l)*l)**(25\/4) assuming l is positive.\nAnswer: l**(2375\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of 0 + r + 1\/8*r**3 + 1\/48*r**4 + 0*r**2. Let a(n) = 0. What is n?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5012, -4988, -4962, -4934, -4904?\nAnswer: -4872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 61.38464t in milligrams?\nAnswer: 61384640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 2*o - 114, 2*g - 117 = -0*o + 3*o. Let y = g - 35. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1822)\/(-3570) + 7137\/(-13481).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 87573.72 milligrams in grams?\nAnswer: 87.57372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 22 - 6 - 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 953*g - 969*g + 13 = -0*k, 8*k + 5 = 3*g + 3 + 23 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-390*l**3 + 105*l**3 - 231*l**3)*(-2*l**2 - 4*l**2 + 5*l**2).\nAnswer: 516*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6129.90369 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 4.9, -0.3, -0.5, 2\/105, 93?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 688, 1373, 2058, 2743?\n\"Answer: 685*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16567002 (base 8) to base 16.\nAnswer: 3aee02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 7 - 78 - 41*d - 98. What is the tens digit of b(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 2*b - 6. Suppose 5*i = -20, -10 = 2*a + b*i + 3*i. Suppose a*x + 14999985 = -2*m, 3*m = 2*m - x - 7499997. Round m to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 418 is divided by 128.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -81, -1, 0, -36, -38?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/(-10) - 944\/(-40). Suppose 4*d + 81 = w, 0*d + 3*w = -2*d - x. Let n = 21 + d. Solve n*t + 2*p + 4 = 0, 3 = 5*t + 2*p + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 - 8 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 236\/(-16)*(-7 + 3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 527 + -539. Which is the closest to 2\/5?  (a) 3  (b) 0.5  (c) t  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/51)\/(56098760\/216597 - 259).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 94 - 84.7. Let v = q + -9.2. Is 1\/70 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 3 = -5. Let q be ((-140)\/(-30))\/(z\/(-6)). Let x = q - -56. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*k + 79*k - 18*k = 3381. Let r(s) be the second derivative of 1\/4*s**4 + 0*s**3 + k*s + 0*s**2 + 0. Let n(z) = 6*z**2. Give r(n(t)).\nAnswer: 108*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*t - 2*t + 5*d + 20, 8 = -2*d. Suppose t*f - 47 = -f. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {m: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrljcrcluycrlr. What is prob of picking 1 j, 1 u, and 1 c?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -4*r**3 - 27216*r**2 - 2496116*r + 2523336 = 0.\nAnswer: -6711, -94, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -74410\/9 - -8268. Let r = -4 - -4.2. Let l = r - 5.2. Which is the closest to -0.09?  (a) l  (b) m  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1471 - 0.0071. What is the smallest value in j, 0.5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14225 + 28942. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 i, and 1 o when three letters picked without replacement from ivrviqviorvf.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12997194?\nAnswer: 2, 3, 7, 309457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1811 - 9053\/5. What is the nearest to l in 0.5, 11, -19\/5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*-2*(-1 - 0). What is the common denominator of 159\/24 + d\/(-8) and 48\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 163 + 231. Is q + 4238 - (1 + 4 + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 + 11*o - 13. Suppose -4*p + 23 + 16 = -v, -v - 29 = -3*p. Let h be l(p). Let c(g) = 6*g - 1. Let x be c(0). Sort -4, h, x in increasing order.\nAnswer: -4, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -3*b - 10. Let o(x) = 4 - b + 4 - x. Let m(q) = q + 2. Calculate 3*m(l) + 4*o(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s - 270 = -12*s. Let o = s - 46. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1261547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -2*j + 50. Suppose -3*o - j = -4. Let t = o + 14. Solve -t*k - 21 = -3*f, -5*k - 3*f + 0 = 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-18)\/(-8)*(16\/24 - -2). Let q = -2660 - -2670. Solve -q = w - s*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39484701?\nAnswer: 3, 643, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c + c?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 7, y: 3, c: 4}. What is prob of picking 1 h and 1 y?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1544, 17 in increasing order.\nAnswer: -1544, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 133?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -3*((-15)\/(-20) + 5405\/(-60)) is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4726080 by 98460.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 less than 22996505.906?\nAnswer: 22996506.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 261348*l**2 - 236886 wrt l.\nAnswer: 522696*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8.8 + 316.2. Let x = 336 - d. Are x and 0.06 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-10))\/((-29722)\/(-1847010))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 145, -3, -5, -39597.\nAnswer: -39597, -5, -3, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 134*c**4 - 756060 + 756062 + 43*c - 22*c**4 wrt c.\nAnswer: 1344*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 - 4*f**2 + 5*f - 3. Let q be u(3). Solve -q*m + 19 - 4 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 0)*(-4*c + 3*c + 2*c)*(-3 - 1 + 2)*(-10 + 10 - 3*c) - 1 + c**2 + 1.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (84 - (-36 + 218)) + 68?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*h - d - 1, 85*d - 89*d = 2*h - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t**2 + 425 - 193*t - 2*t**4 + 426 - 850 to q*t**3 + f*t**2 + u*t + v*t**4 + r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**4\/5 + 41*r**3\/5 - 477*r**2\/5 + 1159*r\/5 - 722\/5.\nAnswer: -(r - 19)**2*(r - 2)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f + 6. Let w(n) = 281*n**2 - 280*n**2 - 5*n - 16 - 16 + 7. Give -9*c(t) - 2*w(t).\nAnswer: -2*t**2 + t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 29*h + h**3 + 34*h - 6 + 3*h**2 - 68*h + (-2*h + 2*h + 3*h**2)*(91 - 91 + 23*h).\nAnswer: 70*h**3 + 3*h**2 - 5*h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0, -2, 13, -1 in decreasing order.\nAnswer: 13, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -2*r**2 - 11*r + 3313. What is w(38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 49722, 0, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -6*i**2. Let j be d(-1). Let h be (-4)\/j - (-38)\/6. Suppose 5*v + 190 = h*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22.5 - -22.7. What is the nearest to -3 in -4, 2\/5, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1307972, 5231912, 11771820, 20927702, 32699564, 47087412?\n\"Answer: i**3 + 1307978*i**2 - i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1492*i**2 - 3725643*i + 3725643*i.\nAnswer: 1492*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbbbbbbbbbebbb. What is prob of sequence be?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t - 1. Let n be p(-5). Suppose 0 = -n*d - a + 3, 4*d = 2*d + 4*a + 24. Solve -d*k - 2 - 4 = 0, -y - 17 = 5*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1121 (base 6) in base 12?\nAnswer: 1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 3*w**3 - 3*w**2 + 3. Let z(i) = -i**2 - 2*i + 6. Let c be z(-3). What are the prime factors of j(c)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150396 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 66743256 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6 - 32\/(-5)) + 3350004\/(-10). Round s to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {s: 1, i: 5, c: 11}?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000155682755 rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the third derivative of -c**5\/15 - 449*c**4\/2 + 2696*c**3\/3 + 3046*c**2. Factor p(x).\nAnswer: -4*(x - 1)*(x + 1348)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 2, 12\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2885\/8 + -361. Which is the closest to 1?  (a) z  (b) 0  (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qnnz when four letters picked without replacement from hnqqyznt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 10*z + 6. Let o be g(-21). Does 8 divide (-2)\/(2\/(-4) + (-78)\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 + 3*a**3 + 2*a**2)*(4 - 1 + 0) + 44*a**3 + 13*a**3 + 10*a**3.\nAnswer: 76*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -8. Suppose 7*v = k*v + 15. Find the second derivative of 9*b**4 + v*b + 0*b**5 - 9*b**4 - 3*b**5 wrt b.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*0.083\nAnswer: -0.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1257101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*v**2 - 73*v**2 - 362*v**2.\nAnswer: -505*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12875256 divided by 20502.\nAnswer: -628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1, -22, 0.2, 13\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 6*k**2 + 17*k + 13. Let l(h) = h**2 + h + 1. Let m(a) = -i(a) + 4*l(a). What is m(-8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 81 - 80. Calculate the greatest common factor of f and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 + 10*m**2 - 2*m + 6. Let k(p) = 3*p**2 - 4*p + 3. Let o be k(2). Is f(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 303 - 273.2. Let z = 30.8 - j. What is the closest to z in 1, 1\/2, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 a factor of 7850721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**3 - 9*n + 9*n)*(-2*n - 6 + 1 + 3).\nAnswer: -2*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 59 = 467. Let z = 23912 + -23861. What is the highest common factor of z and k?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -11*r. Let a = 1 + -2. Suppose -5*u + 8 = -u, 2*w - 4*u = 76. What is the remainder when w is divided by v(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53701 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**4 - 186*n**3 - 4416*n**2 - 4232*n = 0.\nAnswer: -46, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 27 + -18 + 13 + 34.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/((j*j**9*j*j)\/j))**(2\/19)\/((j*j\/((j\/(j*j*j*j**(5\/12)\/j))\/j))\/j**(-9\/8)) assuming j is positive.\nAnswer: j**(-3007\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*u - 2*s = -11*u + 8, 4*s + 16 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -23.939262 to 3 dps.\nAnswer: -23.939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - l = 1, -15 = 5*r - 2*l - 3. Let o(a) = a + 3 + 0 + 7*a**2 - 1. Let f(s) = 1. Let x(t) = r*f(t) + o(t). What is x(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21 and 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2\/287 - -877\/2296. Which is the nearest to 0?  (a) 0.5  (b) -1\/3  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 100580 and 3206340.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + 4251?\nAnswer: 424c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2547*j**2*k**2 - 197*j*k**2 + 8051279*k**2 wrt j.\nAnswer: -5094*j*k**2 - 197*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of 4453*i**5\/5 + 473*i**3\/3 + 375. What is the third derivative of y(j) wrt j?\nAnswer: 106872*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5 + -4)*-1*(1 - -13). What is the smallest common multiple of 22 and 48\/28 - (-2)\/r*-2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 4*w - 7, -o - 36 + 13 = -5*w. Let b be (9 + -9)\/(o + 1). Let c be b - (-1 - 1) - 2. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1 - -4.1. Let s = -56 - -61. Which is the second smallest value?  (a) s  (b) n  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3577 + 57193\/16. Find the common denominator of -31\/1420 and c.\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6036, -5966, -5848, -5682, -5468?\nAnswer: -5206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.638624 centuries to decades.\nAnswer: 86.38624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 + 0*d - 5 - 2*d + 2. What is u(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 6:02 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 34 - (-76 + (46 - -58))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 21\/4 of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from shuhgsgszhsds.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 518 - (0 - -4 - 8). Suppose 5*f + m = -0*f + 3*b, -5*b = -20. Let t = 110 - f. Is t a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -70 - -975262?\nAnswer: 975192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 156, -8.\nAnswer: -12, -8, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 398, 2148, 5032, 9026, 14106, 20248, 27428?\n\"Answer: -4*k**3 + 591*k**2 + 5*k - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/(-4) + 189\/42?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 24*y**2 - 108*y + 2. Give i(6).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.27 + -0.17. Let j = -23.9 + 27. Let y = g - j. What is the second biggest value in 4, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oooq when four letters picked without replacement from doooddooddddoodqddod?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, -94, 606 in descending order.\nAnswer: 606, 5, 2, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-10)\/(-15))\/((-24)\/9). Let y = 2 - 2.2. What is the closest to 0 in o, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*z - 5500 = 6*z. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -907*d**2*r**3 - 17630*d**2*r**2 + d*r**3 - 26*r**3 wrt r?\nAnswer: -5442*d**2 + 6*d - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76645102 is divided by 19161274.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 7:10 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17 and 61531007.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7698 + -6494. Is 74 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1153 - -a6?\nAnswer: -107a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -14*p**2. Let x(d) = 3*d. Give f(x(z)).\nAnswer: -126*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -221121121122011 (base 3) to base 10\nAnswer: -13613080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -12, 84, -17, -11, -5 in decreasing order.\nAnswer: 84, 5, -5, -11, -12, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**2 - 510*f + 11500 = 0.\nAnswer: 25, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -31, -1547, -276?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ocoococoooo. What is prob of picking 2 o?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 3:48 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 2\/9  (b) 3  (c) 2\/47  (d) -14.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 150581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2*m + 10. Let f be a(0). Let t = 12 - f. Solve -t*k + 1 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1336, -2661, -3990, -5323?\nAnswer: -6660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -542, -547, -554, -563, -574, -587, -602?\n\"Answer: -t**2 - 2*t - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 + 20*r - 15. Let t be y(18). Let a(q) = q + 1. Let c(o) = 6*o + 7. Let w(f) = t*a(f) - 3*c(f). Let l(z) = -5*z. What is l(w(d))?\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*u + 4. Let m be (-32)\/(-100)*2\/(-12). Is u != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-1\/8)\/o**(-4\/3)*o*o*o**(3\/8)*o*o**0 assuming o is positive.\nAnswer: o**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nana when four letters picked without replacement from dnadndad?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 - 876239404?\nAnswer: -876239297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (-76)\/6*-6218*(-39)\/(-52) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 29*o - 4. Suppose 0 = 3*k + 4*z + 1, 1 = 4*k + 3*z. Let s(n) = -n + 1. Let t(u) = k*b(u) - 3*s(u). What is the first derivative of t(c) wrt c?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-2 + -5 + 3 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 657872 - -188?\nAnswer: 658060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -39  (b) 0.1  (c) 0.31  (d) 297\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 2*c**2 + 8*c + 3. Let p be b(-4). Suppose 4*j - p*j = 5. Let -5*l**3 - 18 + 3*l - j*l**4 + 9*l**2 + 6*l**2 + 8 + 2*l = 0. What is l?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 296 = -62*k + 2837 + 559 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.018 and 5820731592.4.\nAnswer: 5820731592.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -15*g**2 - 2. Let h(i) = -14*i**2 - 2. What is -4*h(f) + 3*m(f)?\nAnswer: 11*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/12*(42\/147 - 220\/35). Which is the fourth smallest value?  (a) -1\/5  (b) 4  (c) 1\/7  (d) l  (e) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 PM and 6:19 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (24\/(-42))\/(3\/((-21)\/2)). Put -5, w, 14 in decreasing order.\nAnswer: 14, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 371.5266um to nanometers.\nAnswer: 371526.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.4, -3\/2, -41.7 in descending order.\nAnswer: 0.4, -3\/2, -5, -41.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1120743 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/15, -2\/7, -334, -2\/11.\nAnswer: -334, -2\/7, -2\/11, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.08?  (a) -2  (b) 3  (c) 4\/5  (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*r = 30*r + 13*r + 407 + 985 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2 - -1.2. Let j be -4 - ((-408)\/9 - -3). Let p = 38 - j. Which is the closest to p?  (a) -4  (b) l  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-9)\/2)\/(6\/(-40)). Suppose -4*o + 0*c = 4*c - 4, 0 = 4*o - 3*c - 18. Suppose 100 = 2*b + o*b. What is the greatest common factor of w and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 915232?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102001101 (base 3) to base 10.\nAnswer: -8056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b + 108 - 144 = -5*o, -3*o + 2*b + 3 = -1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -3.8.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of -7*h**2 + 0 + 3*h**2 + 1. Let n(x) be the second derivative of -x**4\/6 + 12*x + 2. Calculate v(n(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 9703.228 centimeters?\nAnswer: 97032.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ubgbkugggbbubabuugug. Give prob of sequence uk.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**5 + 0*f + 0*f + (-158 + 158 - 135*f)*(-2*f**2 + 2*f**2 + 2*f**4) + f**5 - f**5 - 2*f**5.\nAnswer: -270*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 771740.\nAnswer: 1543480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-42)\/(-4))\/((-12)\/16 + 1). Let k = -93 + 66. Let h = u + k. Calculate the remainder when h is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 615*n + 620*n - 85 - 1856*n - 2*n**3 + 615*n.\nAnswer: -2*n**3 - 6*n - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p**4\/5 + p**3 - 54*p**2\/5 + 124*p\/5 - 88\/5 = 0. Calculate p.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b4b29a (base 12) in base 9?\nAnswer: -11858061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-13)\/(v*v\/((v\/(v**(-3\/19)\/v*v))\/v)))\/(v**19*v**(2\/7)) assuming v is positive.\nAnswer: v**(-4539\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/3  (b) -5  (c) 144  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 334411310 (base 6) to base 3.\nAnswer: 102110210220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a075 - -20a5?\nAnswer: 2015a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1824\/7 + -9134\/35. Which is the nearest to z?  (a) 1\/5  (b) -0.4  (c) 7  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2*w = w + 2, 2*v - 2*w = 0. Let l(f) = 3*f - 1. Let n be l(v). Suppose m + n = 2*m. Solve -r = -4*o - 2*r - 4, -m*o - 16 = 4*r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -8*b + 1. Let x be a(-5). Suppose 0 = -4*c - x + 129. Let g(n) = -n**2 - 7*n + 12. Let t be g(-5). What is the highest common divisor of t and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*q + 74*q - 80 = 0. Let k = 40 + q. Calculate the least common multiple of 12 and 1\/(k - -3)*9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16751 + -16760.857. Let a = z + 9.8. Let o = a + 0.05551. Round o to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -562.84181 rounded to one dp?\nAnswer: -562.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 76*c**2 - c + 1. Let g be w(1). Suppose 0*j - 97 = -4*j - 3*t, 3*j - g = t. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 806 - 678. Let c = -3507.2 - -3380.195. Let o = q + c. 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 three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 188*b = 184*b. Suppose -2*p - w + 2163 = 0, -5*p + w + 0*w + 5390 = b. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 + 13*l - 29 + 5 + 6.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 < -1.75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -7*h - 4. Let z(s) = 112*s + 63. Let j(o) be the third derivative of o**4\/24 + 95*o**3\/6 + 95*o**2. Let k be j(-32). Determine k*a(t) + 4*z(t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -290*m + 181*m = 350*m - 14229 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 555 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 899396.75 rounded to the nearest ten thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 179276093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -6*x**2 - 8*x - 2. Let z(y) = -6*y**2 - 9*y - 2. Determine -7*h(v) + 6*z(v).\nAnswer: 6*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 61 - -115. Let i be o\/(-231)*(-6)\/4. Solve 2*r + i*r**2 - 4\/7 = 0 for r.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 153795969 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -32*v**2 + 52*v - 5. Determine b(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of y**4\/4 - 7*y**3\/3 - 4*y**2 - 5*y - 4. Let c(n) = n + 8. Let b be c(0). Let z be r(b). Put 3, -4, z in decreasing order.\nAnswer: 3, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 + 5*u + 6. Let t be g(6). Suppose t = -x + 2*x - 4, -2*x = -h - 6. Suppose 2*y - h*i = 3 + 3, y = 3*i - 1. Solve -y*m + 3*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2. Let s(w) = 36*w + 74. Let q be s(-2). Let x(b) = -b - 240 - 10*b**q + 244 + b + 26*b**2. Give h(x(l)).\nAnswer: -256*l**4 - 128*l**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 + 10 + 7*c - 26*c + 13*c. Let q = -33 - -25. Give w(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.0359?  (a) -0.045  (b) 0.2  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -7416207, -14832412, -22248617?\n\"Answer: -7416205*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + 43*y**2 - 62*y + 17. Is 49 a factor of f(-43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 6. Suppose -4*j - 2 = -h*j, -p - 3*j + 17 = 0. Suppose -4*r + 3*r = p. What is the common denominator of -91\/6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 101800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -193\/12690 and 73\/1053270?\nAnswer: 1053270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/1232)\/(1236\/(-11536))\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -309 (base 12) to base 10\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -146299*0.0338\nAnswer: -4944.9062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19708 - -19707. Which is the second smallest value?  (a) -3  (b) -1\/5  (c) s  (d) 31  (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 153\/(-1020)*-40 - (-3)\/((-3)\/11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 347 - 351. Let p be 3*1*o\/12*-3. Solve -2*z - p*u - 23 + 3 = 0, 5*u = -20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 6*d**2 - 17*d + 155. Give a(8).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 4*x**2 + x - 19. Determine c(5).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from cjjcjc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 126 = -85*c + 274. Solve c*i - 5*t - 20 = 0, 0 = 2*i - t - 4 - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 100 and -3?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -920355816*b**3 - 15*b + 26719754.\nAnswer: -5522134896*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.8892 - -12.1108. What is the fifth biggest value in p, -4\/7, 2, 2\/5, 1\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 4, 17, 46, 97, 176?\n\"Answer: s**3 + 2*s**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 139, 892, 2889, 6754, 13111, 22584?\nAnswer: 35797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(1\/5))**(2\/31))**5 assuming k is positive.\nAnswer: k**(2\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 318\/(-40) - (88 - (6 + 90)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 114 = 5*p. Suppose 3*k - 67 + 13 = 0. Let x = p - k. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1378033595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + -7075.\nAnswer: -7084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppplll. What is prob of sequence lp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 60 + 36 = 0. Let s(k) = 11*k**2 - m*k**2 - k + 2 + 4*k**2. Suppose q - 22 = -4*n, -4*q + 3 = -3*n + 2*n. Determine s(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -12\/5, 0.08, 0.162 in decreasing order.\nAnswer: 0.162, 0.08, -12\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/(6 + (1 - 5)). Let c = 1 - n. Suppose -6*h + 2*h - c*d = 10120020, -4*h - d - 10120004 = 0. What is h rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**2 - 5*d + 7. Let h be j(-6). Suppose 14 = 2*r - m, r + 2*m + h = 13. Calculate the least common multiple of 14 and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 38271750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12\/(-15)*-10 - 3. Calculate the remainder when 1\/((-708)\/142 + v) is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 4*d**2 - 396*d + 399*d + d**2. Let p(j) = 5*j**2 + 2*j. What is -2*m(t) + 3*p(t)?\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 12411224 (base 5) to base 14\nAnswer: 329d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + -111111011100000001111?\nAnswer: -111111011100000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 6 = 0, 4*u = -4*z - z - 152 + 209 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6.201093 decades?\nAnswer: 62.01093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 40739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17232 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 3559461078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -271a4 (base 13) to base 3\nAnswer: -10200212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.38 * -2561.\nAnswer: 6095.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 - 2 = 6*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -71 - -71. Let u be (1\/(-1))\/((-3)\/(-15)). Let m(y) = y + 7. Let s be m(u). Solve s*c + w = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2 + 90 - 9*y - 24*y - 14 - 16*y + 7*y.\nAnswer: 2*(y - 19)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 8*n - 11. Let f be h(2). Suppose 0 = -c, f*t = 3*c - 5*c. Factor 2\/3*r**2 + t - 4\/3*r**3 - 2\/3*r**4 + 4\/3*r.\nAnswer: -2*r*(r - 1)*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -2*f - f - f**3 + 4 - 15*f**2 + 11*f**2. Let s be c(-3). Is s + -5 - -110 - 4 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -6*s + 12. Determine i, given that -3*i**s - 4*i + 22*i**2 - 24*i**3 - 7*i**4 - 8*i**4 = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - 1115615774?\nAnswer: -1115615772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 164, 297, 526, 857, 1296?\n\"Answer: p**3 + 42*p**2 + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3585020131?\nAnswer: 7, 11, 457, 101879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -139*j**3 + 3*j**2 - 8*j + 9492. Let s(f) = 261*f**3 - 5*f**2 + 17*f - 18985. Let x(w) = -5*s(w) - 9*v(w). Find the first derivative of x(m) wrt m.\nAnswer: -162*m**2 - 4*m - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/4, 110, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -12*f - 25. What is q(-11)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5502764118 to the nearest integer?\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -0.1, -21\/8, -2\/19, -1\/5?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 22\/6 + 4\/(-6). Suppose -s - 36 = -2*v + 3*s, 4*s + 12 = 0. Suppose -t*o = v - 72. Calculate the remainder when o is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 378522 and 7?\nAnswer: 2649654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*n**3 - 624 + 624)*(2 - 2*n + 3*n + n) to the form f*n + o*n**3 + c*n**4 + p*n**2 + g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 8*y = 6*y - 34885, -174470 = -5*d - 5*y. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g**(-4)*g*g)*g*g)\/(g**1*g)*(g\/(g\/(g*g\/(g**2*g))))**(2\/43) assuming g is positive.\nAnswer: g**(84\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.868667996 + 0.8687. What is s rounded to 6 dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {h: 5, w: 2, q: 1, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 8a3 + 2d9a?\nAnswer: 363d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8209.14 - -8209. Which is the second smallest value?  (a) -16  (b) 0.04  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 40*m**2 - 1. What is the remainder when s(2) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((2*sqrt(891) - sqrt(891)) + sqrt(495)\/sqrt(5) + 3).\nAnswer: 12 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.13 >= 142188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = 5*p + 5, 120*p - 122*p + 4*w - 18 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -8  (b) 12  (c) -1\/6  (d) 2.6  (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*t + 4 = -8*t. Suppose 4*d - t = -6. Which is bigger: 1\/4 or d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -7*m + 10. Is (((-4)\/(-2))\/m)\/(1\/895) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00038641496 rounded to six dps?\nAnswer: -0.000386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (45\/(-300))\/(2475\/(-407000))?\nAnswer: 74\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/3  (b) 1\/3  (c) 8  (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 51000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11849 is divided by 789?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-1.058575\nAnswer: -0.3175725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 161 = 2*t - 3*o, -3*o = 9. Suppose -3*j = -2*a - 109, 2*j + 5*a - t = 3. What is the smallest common multiple of 33 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -124 - -71. Let o = g - -53.336. Let f = 0.16 - o. Round f to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.017922 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 74 times -0.09\nAnswer: -6.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 + 33. Suppose 2*x - l = -2*x. Suppose 0 = 4*m - 5*m - 4, x*m - 33 = -5*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 119*d + 275. Let s be r(-3). Do s and -102 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 56 - 4*v - 56 to the form c + g*v and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 416 and 4?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -83772?\nAnswer: 25131.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 + 107 = -19*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jifjjijilj. What is prob of picking 1 j, 2 l, and 1 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**11\/(v*v**0*v)*v**(7\/3)*v*v**10 assuming v is positive.\nAnswer: v**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 57400?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 23117407867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 45 and 1860.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 (base 13) in base 5?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*k - 26*k = 3*y + 6, -3*y + 2*k + 29 = 0. Solve -14 = -3*v + j, -3*v - y*j = -5*v + 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 336 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, q: 1, p: 2, a: 2, n: 11, h: 2}. Give prob of sequence hp.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11*(-30)\/990*-339.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -145 + 147. Suppose -6 = -2*d + y, t*y = y - 4. Suppose 5*k + d = 21. Solve 4*x + 6 = 3*o, k = -x - 4*o + 6*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 2*h, 3*h = q - 16. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 28 + -26. Solve o - 2*o - 2*y = 7, 10 = -2*o - r*y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 11896805, 47587224, 107071255, 190348898, 297420153?\n\"Answer: 11896806*j**2 + j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -110.35 + 2.35. Let g = -105 - z. Sort 0, g, -29.\nAnswer: -29, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4170 equal to 4170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 303749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -5*z**3 - 128*z**2 + 94*z + 1486. Determine w(-26).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 1:04 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -806*a**2*h*x - 17631*a**2*h - 6*a**2*x - 19*a*h + a*x - 14*a + 50*h*x + 398*h - x wrt a.\nAnswer: -1612*h*x - 35262*h - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 980 take away 108?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 258517846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/4, 0.4, -7, 8\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 14.69, 1.4 in ascending order.\nAnswer: -0.5, 1.4, 14.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1195856 by 2411.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -22000020203 (base 4) in base 5?\nAnswer: -1132400422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 5:14 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2*x - 33276471. Let n(c) = 2*c**2. Calculate m(n(w)).\nAnswer: -4*w**2 - 33276471","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2275 + 2432. What is the remainder when 601 is divided by t?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70, -73, -86, -115, -166?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -51.8*-6\nAnswer: 310.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2150346 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**2 + 2*w**2 + w**2)*(-2 + 9 + 0) + (3 - 3 + w)*(-1 + 1 + 2*w) + 2*w**2 - 3 + 3.\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 32 and -14\/187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 150401213 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 13 - -6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -3, -1\/4, 0.5, 111?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/261 and -1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 22716969 + 4223071. Let c(a) = -92638*a**2 + 7*a. Let k be c(-6). Let h = o - k. What is h rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*r - g + 168 + 61 = 0, -3*g = -3*r + 51 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 44*t + 9. Let o(i) = i - 5434. Determine d(o(z)).\nAnswer: 44*z - 239087","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 PM and 11:31 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = -2*n + 100 - 67, 3*m = -9 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4797 and 702?\nAnswer: 28782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 22250054.2 to the nearest 100000.\nAnswer: 22300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 117*x**2 + 110. Let q(m) = 1. Let v(p) = 6*q(p) + z(p). Find the first derivative of v(i) wrt i.\nAnswer: 234*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 770347 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 + 10 = -u. Suppose w + u*w = 5320000. Round w to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-46)\/(-6) + (-414)\/621. Let y(b) be the second derivative of 1\/8*b**3 + 3\/8*b**2 - 1\/16*b**4 - 3\/80*b**5 + 0 + c*b. Factor y(l).\nAnswer: -3*(l - 1)*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*b**3 + 848*b**2 + 336*b.\nAnswer: 4*b*(b + 42)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 171863331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 34, 17, -28, -113, -250, -451, -728, -1093?\n\"Answer: -2*b**3 - 2*b**2 + 3*b + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/49869 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 - 9*r**2 + r - 2. Let d = 16 + -7. Calculate the remainder when ((-6)\/(-5) + 0)*10 is divided by w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**4 - 385*x**3 + 6800*x**2 + 24000*x.\nAnswer: 5*x*(x - 40)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s. Let y(w) = -48*w**2 + 6*w - 12. Let m(k) = k**2 - k + 2. Let h(r) = -18*m(r) - 3*y(r). Give h(d(a)).\nAnswer: 126*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 26*z + 7*z - 33 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 308 + -183. Let q = 229 - -233. Suppose 5*w + 6*w - q = 0. What is the remainder when c is divided by w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30 + -26. Which is the closest to 6?  (a) -2  (b) r  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-170)\/119 + 1\/((-14)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37 + -15. Let b = -15 - -14. Calculate the smallest common multiple of 2\/b + (13 - -1) and s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-6)*2\/(-6)*-4. Let f = -1.03 + 0.83. Is f < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 409777603 to the nearest integer?\nAnswer: 20243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 2024 = -119*w, -55*w + 48 = -58*w + 3*g for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, -2\/17, -2 in descending order.\nAnswer: -2\/17, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d**3 - d**2 - 2*d - 1. Let k be t(-1). Suppose 0 = -5*n + b + 3*b + 56, 2*n + k*b = 26. What is the remainder when 33 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 17*z**2 + z - 41. What is the remainder when s(-6) is divided by 547?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(-14) - (3 + (-19)\/7). Which is the nearest to w?  (a) -3\/2  (b) -0.4  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 649 - 638. Suppose -g*y = 2*y - 39. Calculate the smallest common multiple of 36 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 159320 and 6.\nAnswer: 477960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 2*s = 0. Suppose s = 3*h + 3 - 12. Suppose -5*r + 47 = 3*k, -r - h*k = -7 - 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8941 - -8941. Suppose -14 = -0*d - d. Let k be 1 + (d\/(-26) - 0). Is k >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -8*m - 15. Let n(v) = v**3 + 6*v**2 + v - 3. Let d be n(-6). Calculate the smallest common multiple of 2 and b(d).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1df9 - -3?\nAnswer: 1dfc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(330)\/(sqrt(90)\/sqrt(9)) + -6*sqrt(165)\/sqrt(5))\/(sqrt(66)\/(sqrt(6)*-3) + 3*sqrt(539)).\nAnswer: -15*sqrt(3)\/62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 - 15*i**2 + 4*i + 6. Give k(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14731531453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k\/k**(1\/4)))\/k)**(3\/8)\/(k**2)**(2\/23))**29 assuming k is positive.\nAnswer: k**(-9715\/736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 1 + -3 + (-5*(0 + sqrt(192)) - sqrt(192)*2*2) + 5)**2.\nAnswer: -144*sqrt(3) + 15553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -0.827657276?\nAnswer: -0.172342724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/56)\/((-7)\/(-112))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -719*s - 37075 = 452*s + 40101 - 13942 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 194*i - 795*i + 189*i + 195*i + 214*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 - 12*l**2 + 4*l - 21. What is s(12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -0.1, -3, -1\/8, 44?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.028  (b) 1\/2  (c) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/712 and -51\/232088?\nAnswer: 20655832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1631319529 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 3303 - 3290 = -3*t, 3*x - 10*t = 42 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -248 and 0.1?\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4555268784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3*2\/6*(1 + 1). Let m be 1\/(2*(-2)\/(-8)). Find the first derivative of -m - 16*p + 16*p + h*p**2 wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence omcu when four letters picked without replacement from tmmgummmomoumtucmt?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -227, -217, -191, -149, -91?\n\"Answer: 8*l**2 - 14*l - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 213*v + 114. Let i(q) = -141*q - 75. Give 11*i(p) + 7*k(p).\nAnswer: -60*p - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -69 - -43. Let j = 28 + s. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (56\/2 - 29)\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -16*x - 7. Let f(a) = -a. What is f(i(q))?\nAnswer: 16*q + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5557926747 + 0.3?\nAnswer: 0.8557926747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1483919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4*4956926\nAnswer: -19827704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.209355 rounded to two dps?\nAnswer: 2.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w + 557. Let r(d) = d - 372. Calculate 5*i(p) + 7*r(p).\nAnswer: 2*p + 181","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add -2933648827.4156 and -0.8.\nAnswer: -2933648828.2156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36305275 - 48494725 = -4*u. Round u to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 9:52 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n**4\/9 - 40*n**3\/9 + 61*n**2\/3 - 284*n\/9 + 140\/9 = 0. What is n?\nAnswer: 1, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8408996249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -4*w + 112. Let g be (3 - (7 - 3))\/(-1) + 4. Suppose -9*y + 11*y - 16 = 2*u, -3*u = -g*y + 34. Calculate the remainder when w is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2492*y + 5288. Give a(-2).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - 15\/(-10))*(-18)\/(-15). Let u be (-3 + 3)\/(-4) + 6. Calculate the greatest common factor of y and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 30671 + -30195. Suppose -35 - 21 = -2*m. Calculate the greatest common divisor of m and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 0*q + 5*i - 2337 = 0, -q = 5*i - 789. Suppose 0 = 2*d - 4, -99 - 27 = -4*k - d. What is the remainder when q is divided by k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24390 (base 14) in base 6?\nAnswer: 1521454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -68, -80, -100, -128, -164, -208?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87*p**4\/4 + 6261*p**3\/2 - 36111*p**2\/4 + 5496*p + 423 = 0. What is p?\nAnswer: -2\/29, 1, 2, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 4*f = -11, -15 = 2*w - 4*w - 5*f. Let l(v) = -v + 2. Calculate l(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 114 and 760.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the third derivative of t**5\/60 + 7*t**4\/24 + t**3\/2 + 5*t**2. Let q be o(-7). What is the first derivative of 0*b - 2 + 3*b - 3*b + 4*b**q wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8855?\nAnswer: 5, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wiwiwttwwtwttw. Give prob of picking 3 w.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (7 + -2 + (-2 + -35 - (46 - 36)))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -5*l**3 + 2*l. Let g(d) = -29*d**3 + 2*d**2 - 17*d. What is -g(n) - 2*x(n)?\nAnswer: 39*n**3 - 2*n**2 + 13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 297916662?\nAnswer: 893749986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 562441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -8. Let o(f) = -f**2 + 11*f - 10. Let p be o(7). Suppose -24 = -4*h - 0*h - 2*l, 4*l = -2*h + p. Calculate the lowest common multiple of t and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 140 divide 253349460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 4*s + 26. Suppose -23*h + 24*h - 22 = 0. Let z = s + h. What is the remainder when 50 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -11ca7 - 2?\nAnswer: -11ca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/49014 and 1\/10892.\nAnswer: 98028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -30\/11, -2, 1\/87?\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2*x + 3)*(5 - 4 + 1) - 2*x + 2*x - x + (3 + 2 - 7)*(-3*x + 2*x - x) + 4 + x - 4 + 3*x - 5*x + 0*x - 3*x - 3*x + 8*x as r + i*x and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - -16. Calculate the remainder when 56 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*v**2 + 6*v**3 - 3*v**3 - 8*v**3.\nAnswer: -5*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21475420 to the nearest integer?\nAnswer: 4634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - 11.28. Let i = s + -0.02. Which is the smallest value?  (a) 6\/11  (b) i  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 150*d. Give f(-1).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) 30  (c) 13\/2  (d) -0.5  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 2*o = 128. Let k be 81 - 58 - 1645\/(-5). Calculate the highest common divisor of o and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8420*d**3 + 155*d**2 - 8421*d**3 + 16838*d**3 as h + k*d**2 + c*d + n*d**3 and give k.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {d: 6, x: 4, h: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -4 - 8. Solve -3*m - 16 = -0*m - t, 0 = -a*t + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -62.948 + 63. Let j = s + -1.252. What is the closest to 1 in j, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 1 + (12 - 6) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-2*sqrt(11) + (sqrt(11) + 3 - sqrt(11)) + sqrt(11) + 3)**2.\nAnswer: -36*sqrt(11) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -110001011001100 (base 2) to base 5\nAnswer: -1302132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhhw when four letters picked without replacement from hhhhhhhhhwhh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 2*h + 2 = 0, -5*h = -2*d + 4*d - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of w**4\/24 - 2*w**3\/3 + 151*w**2\/2 + 218. Let p(n) be the second derivative of v(n). Determine p(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -19.024151 rounded to 2 decimal places?\nAnswer: -19.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 14) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve p**3 + 1127*p**2 = 0 for p.\nAnswer: -1127, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11124*h**3*s*y**4 + 7*h**3*y + h**3 + 3*h**2*y - h*s - 790*h*y**4 + 15*s - 16*y**2 wrt y?\nAnswer: -266976*h**3*s*y - 18960*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8657\/5 - 1731. Let p = 0.04 - 2.04. Which is the nearest to 2?  (a) 0.3  (b) d  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 169 a factor of 19750901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the second derivative of -109*s**7\/42 - s**6\/30 + s**4\/6 - 51*s**2\/2 - 4*s + 7. Find the third derivative of b(p) wrt p.\nAnswer: -6540*p**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -x**2\/2 + 30. Let k(i) = -29*i**2 - 5*i. What is k(h(f))?\nAnswer: -29*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166676 is divided by 479.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 9:42 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w**5\/3 - 337*w**4\/3 + 412*w**3\/3 + 254*w**2\/3 - 416*w\/3 + 83\/3 = 0. What is w?\nAnswer: -1, 1\/4, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -276*n**3 - n**2 - n + 1. Let f be v(-1). Suppose 273*c - f*c + 76 = 0. Solve 5*m - q + 0*q - 11 = 0, 4*q - c = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of -7*d**5\/10 - 11*d**3\/6 + d - 56. Let k(h) = 3*h**3 + 2*h. What is -11*k(j) - 2*x(j)?\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 507396, 507386, 507362, 507318, 507248, 507146, 507006, 506822?\nAnswer: 506588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of -n**7\/840 - n**6\/72 - n**5\/30 - n**4\/8 + n**3 - 1. Let o(l) be the third derivative of g(l). Let s = -10 + 8. Give o(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*a - 80 = 4*f, 4*a - 9 = -3*f + 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*p**2 + 56*p**2 + 61*p**2 + 18*p**2 - 28*p**2.\nAnswer: 102*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*a + 232 = -6*a - 2*y, 0 = -a + 5*y + 112. Let w(x) = x**3 - 2*x**2 + 2*x - 2. What is the remainder when a is divided by w(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.702888 rounded to three decimal places?\nAnswer: 0.703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, r: 13}. Give prob of sequence rr.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -305*u + 5292 = 136*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 40936 at least 10274898\/251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 4236681.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/30 + 2)*132\/(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2956 - -2956. Let d be (-2)\/(-8) - 9\/4. Let o be d\/(-3) + 26\/6. Sort 9, o, w in increasing order.\nAnswer: w, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -2*m**3 + 8*m**2 - 22*m + 225. Give b(9).\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*q - 14*q - 204 = 0. Let j be 2\/q + ((-286)\/(-6) - 0). Solve 0 = 8*s + j - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 115 + -114. Let t be ((7 + 110)\/(-3))\/(c\/7). Let k = -160 - t. List the prime factors of k.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/5, -11, -0.135?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 341303 (base 5) in base 8?\nAnswer: 27456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjmjnjjnnn. Give prob of sequence nn.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 416136, 832297, 1248458?\n\"Answer: 416161*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 162*r**4 + 9*r**3 + 5*r + 288919.\nAnswer: 648*r**3 + 27*r**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26, -73, -230, -445?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u = 5*g + 40, 10*u = -g + 9*u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2*r - 7. Let k be m(-5). Suppose y - k*y - 8 = 0. Let s(g) = -g**3 - 3*g**2 + 5*g - 1. Give s(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 60 + -65. Let h(z) = 14*z - 9. Let v(q) = 7*q - 5. Let r(u) = 4*h(u) - 9*v(u). Let s(j) = -4*j + 5. Give b*s(x) + 3*r(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3*(-4)\/(-6) - -5. Suppose 3 = 2*n - p. What is the lowest common multiple of 42\/4 - n\/2 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*l**4 + 13683*l**2 + 3*l + 11*l**4 - 13678*l**2 + 10 + l**3 - l**3 in the form s*l**3 + y + k*l**2 + b*l + w*l**4 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 20, 0.6, -9, -1\/2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1071191, 4284662, 9640447, 17138546, 26778959?\nAnswer: 38561686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 109 = -4*q - 405, -2*n - 2*q + 216 = 0. Suppose 0 = -6*h + 2*h + n. What is the remainder when 77 is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.19194km to millimeters.\nAnswer: 9191940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from guluzuzlraguuauuuuzl. Give prob of sequence aa.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15 - -17. Solve -6 = h - i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00040915221 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 2*f + 1115 + 105 = 0, -3*z + 2*f = 736. Let g = -127 - z. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 228016 is divided by 659?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 564 - -11535?\nAnswer: 12099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -6*b - 2*b + b + 8*b. What is q(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -49754, -199008, -447768, -796034, -1243806, -1791084, -2437868?\nAnswer: -3184158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -31\/2, -2, -5, -6, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2128 + 772a?\nAnswer: 9857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-22)\/(-6) + -3)*21. Let u be ((-21)\/f)\/(1\/(-4)). Suppose -u*w + 93 = -3*w. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 141765 is divided by 870?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {m: 2, r: 1, q: 1, d: 1, b: 2, c: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 112\/(-96)*243\/(-108)*(-8)\/(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04385695614 to 4 dps.\nAnswer: 0.0439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2 + f + 3. Let x be z(-2). Which is the nearest to 1?  (a) x  (b) 0.2  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103047 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(9\/27*-16).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1449574646.\nAnswer: 2, 13, 55752871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, i: 1, d: 2}. What is prob of sequence bd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1754593 = -87*h + 1753897 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/8 and 1\/7*(186\/(-8) + 2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 742933494 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -493373, -493351, -493329, -493307, -493285?\n\"Answer: 22*r - 493395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 - 2. Let d be (-5 + 0)*16\/(-10). Suppose -4*v + 0*i + 12 = 2*i, -v + 5*i = d. Let y(s) = -9 + 3 - 5 - 6*s**v. Determine 22*p(m) - 4*y(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 46*h + 29*h + 34*h + 11892 - 2736 for h.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2982048.\nAnswer: 2, 3, 31063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7480 + 4862 + 4066)*(-2*f**4 + 6*f**4 - 2*f**4).\nAnswer: 2896*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (4 + sqrt(2) + (sqrt(2)*3)**2 + sqrt(2) + sqrt(2) + ((sqrt(42)\/sqrt(3))\/sqrt(7) + sqrt(2))**2)*-5.\nAnswer: -146 - 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - 3. Let r = -1 + f. Let q = r - -4. Solve q*l = 6 - 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39325*4.39.\nAnswer: -172636.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 + 17*o + 13. Let m(x) = 2*x**2 - 34*x - 26. Let j(f) = -6*m(f) - 13*n(f). Let r be j(18). Solve -p = -6*p - 5*v - 45, -2*v + 10 = -r*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 48, 51, 54, 57, 60?\n\"Answer: 3*q + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.1 and 0.0781?\nAnswer: 0.0219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 75755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 663991 is divided by 568?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*b**3\/7 - 105428*b**2\/7 + 5153856*b\/7 - 62219520\/7 = 0. What is b?\nAnswer: -54010\/27, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1285583 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -54, -455, -1540, -3651, -7130, -12319?\n\"Answer: -57*f**3 - 2*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4128*y - 1058*y - 996*y - 1038*y - 1029*y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-4)*26\/(-13))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4 - 2\/1*(-56)\/16. Factor -96*w**5 + 95*w**5 + 4*w**3 + 6*w**4 - n*w**4.\nAnswer: -w**3*(w - 4)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 AM and 5:28 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.049 and -11.89664?\nAnswer: 0.58293536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1110.1 + 1167. Let z = 61 - w. Let c = -4.6 + z. Is 1\/7 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3252 and 39837?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3223731 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 104.961 - 106.3. Let d = p - -0.039. What is d rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*a**2 + 2*a**2 + 5*a**2)*(-a**2 + 2*a**2 + a**2) - 4*a**4 - 15*a + 7*a + 7*a - a**2 as y*a**4 + q*a + u*a**2 + v*a**3 + r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 208 = 4*t. What is the remainder when t is divided by (-6)\/(-33)*-1 - 200\/(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 203 is divided by 47?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -651 (base 8) in base 6?\nAnswer: -1545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 2*u - 3*i - 4, 0 = -i + 3. Suppose u = -a + 4*x + 4, 2*a - 40 - 33 = -5*x. Suppose -4*v + 0*v = -a. Which is greater: v or 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 4*u + 11. Let h be 17\/u - (-18)\/24. Solve h*n = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -241 + 254. Let j = -0.8 - 8.2. Let f = p + j. Which is the third biggest value?  (a) 1\/4  (b) 1\/5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -18  (b) -5  (c) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 206819?\nAnswer: 206819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 427\/16 + -7291\/272. What is the biggest value in 0, -0.5, 1\/5, 4\/3, b?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/504 and -125\/108.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + 6 + -12 + 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -8*i - 165. Let l = i - -64. Find the second derivative of 2*m - 31 - 6*m**5 + 5*m + l wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11002235?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - ((-66 - -29) + (0 + 5 - -1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0*(-11)\/88*(-2)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.71 * -42461.\nAnswer: 30147.31","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 12. Suppose z + 2 = 0, -m*b + z - 17 = 2*z. Is 2*(21 - 1) + b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 175650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (126144\/(-342))\/(-16) + (-1)\/19?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 4*m + 52 = 0, -4*m + 41 = -3*b + 213. Suppose b*i + 10880 = 99380. List the prime factors of i.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = 3*m - 31, 99 = -1005*o + 1009*o + 3*m + 4*m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 130 and 616.\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = b - 4*i, -5*b + 3*i = -2*b - 216. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1115552 is divided by 7065?\nAnswer: 6347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 217 a factor of 10850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 967, 2159, 3723, 5653, 7943, 10587, 13579, 16913?\n\"Answer: -c**3 + 192*c**2 + 623*c + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + 6 + -4 - -11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (638\/(-87))\/((-2)\/243). What is the greatest common divisor of w and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14437 or -47?\nAnswer: -14437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 56 - 68. What is the tens digit of -8*(3 + 177\/a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 3*v + 8. Suppose -3*g + 5*d - 36 = 0, 0*d - 2*d - 22 = v*g. Let w be 3750\/(((-7)\/(-4))\/g). What is w rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 20226 from -114807.\nAnswer: -135033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 7:18 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqnnqn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 425738.\nAnswer: -1\/425738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14726719 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25631509 and 766.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 948 = 2*u - u, -x = -5*u - 237. Let b = -139 + x. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-297)\/(-22) + -8 + -1. Which is the third smallest value?  (a) 3\/7  (b) -4  (c) q  (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 977*m = 1471*m + 4940 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -b + 3*m, 4*b - 5*m - 38 = 59. Let t = 13 + b. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 498632 and 29793262?\nAnswer: 119173048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 1:52 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17106, -17108, -17110?\nAnswer: -17112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1443078321.\nAnswer: 3, 2927, 164341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/8 and (-2688253)\/2231740 + (11\/5 - 1)?\nAnswer: 46984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000012396 rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b - 10. Let l = -57 + 50. Let u be z(l). Solve -2*i**3 - 26\/9*i**u + 0 + 4\/9*i - 10\/9*i**5 + 2\/9*i**2 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 + (-7)\/2)*(-32)\/(-72). Sort -0.1, -1\/4, k.\nAnswer: k, -1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*y + 9. Suppose y*g + 5*w - 33 = 0, 3*w - 13 = -4*g + 2*w. Let o be (-4)\/(-24) + (-19)\/(-6). Which is the biggest value?  (a) 0.4  (b) o  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 5*i - 1331, 2*l + 1009 = -2*i + 1563. Calculate the remainder when 20324 is divided by i.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 + -17. Let a(m) = 2*m + 12. Let j be a(f). Suppose -4*q - j = -3*y, q - 2*q - 10 = -5*y. Solve y*l - 2*x + 16 = 4, 0 = -l - 5*x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/((-12)\/17829*9\/(-6)). Suppose -4*z - 4*d + 539 + y = 0, 4 = d. What are the prime factors of z?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 2871672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32 - 14. Let q be ((-2 + 5)\/(-3) - 2) + s. Sort -2, -1, q in descending order.\nAnswer: q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 157 divided by 237\nAnswer: 157\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of r**4 - 6*r**2 + 8*r - 18. Find a, given that w(a) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j - 1. Let p(z) = z - 18. Let h(b) = -2*b + 56. Let y(a) = 2*h(a) + 7*p(a). Determine 2*m(d) - y(d).\nAnswer: -d + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-2\/5))**(-22)*j\/(j*j**(-1\/5)*j)*j*j**(-8) assuming j is positive.\nAnswer: j**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3266499043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 14*f. Let c be z(-3). Let k be (3\/7)\/(12\/c). Let w = -1220 + 1225. What is the second smallest value in -7, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:52 AM and 8:03 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -334843 by -3.\nAnswer: 334843\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1560 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: Calculate -2104 divided by 2.\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 + -8)*2\/18*(-84)\/(-742).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*f + 4091 = -7969 + 2548 for f.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 21 - 45 = 0. Suppose 2*r - 6 = -0, -5*v - r - m = 0. Is (-1)\/v + (-1 - (-639)\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*u - 6*u + 0*u + 0*u + 2*u - u + 0*u + u + 0*u + (-2*u + 3*u - 3*u)*(3 - 5 + 0) - u + 2*u + u - u + 0*u + 0*u - 1 + 1 - u + 2*u - 3 + 3.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(228) + sqrt(228)*-2)*-2)\/sqrt(12) + 5 + 5*sqrt(931)*-2 + -1)**2.\nAnswer: -544*sqrt(19) + 87872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*k**3*w**2 - 2*k**3*w - k**3 + 224*k*w**2 - 2*w**2 - w - 4 wrt w?\nAnswer: -4*k**3 + 448*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*z - 10*z + 182 + 15*z as q + b*z and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 28 and 11576.\nAnswer: 81032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -ce06d (base 16) to base 10.\nAnswer: -843885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fsfsscjfffsssfff. Give prob of picking 1 f and 1 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/10)\/(12\/12270) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y**4 - 32337*y**3 + 87156297*y**2 - 87123963*y = 0.\nAnswer: 0, 1, 5389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**6\/p*p)\/p*p\/p**(-1)*(p**(-5\/3)*p)\/p*p**(-3\/10)*(p*p**0)**29\/(p**(-2)\/(p\/((p\/(p\/(p\/(p\/(p*(p*p**(1\/3))\/p)))))\/p)*p)) assuming p is positive.\nAnswer: p**(377\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 4*f**2 + 163*f - 404. Calculate k(-43).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -58 - -98. Let s be (t\/(-30))\/(6\/(-27)). Solve 0 = -3*a + s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -93 + 152. Let c = 73 - f. What is l in -c*l**2 + 31*l**2 - 6*l**2 - 12 - 8*l**2 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*((l**2*l)\/l)\/l)**48)**(28\/5) assuming l is positive.\nAnswer: l**(2688\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + 3. Let i be (-9)\/(-4) - 2\/w. Suppose -2*y - i*c = -62, -3*c = 5*y - 2*c - 147. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2837668998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -7. Suppose 5*x = y + 15, y + 2*x = -2*x + 12. Suppose -4*n - 5 + 17 = y. Which is the second smallest value?  (a) k  (b) 2  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.8, 9, -0.3, -1\/2, -18140?\nAnswer: -18140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*w**4 + 14284*w**3 - 6285*w**2.\nAnswer: -168*w + 85704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*b**2 - 25*b**2 + 52*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 841850577?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 134 - 264. Let r be ((-585)\/n)\/(5\/(-6) + 1). Calculate the greatest common factor of r and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 3*u = 153 - 166, d + 4*u = -26. Let m = 1 - -2. Suppose -m*w = -7 - 5. Solve 5*v = -4*h + 16, d*v - w - 12 = -4*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1187 or -1188?\nAnswer: -1187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -32 - -50. Let u(g) = 9*g**2 - 2*g + 1. Calculate the smallest common multiple of w and u(1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -9788*x + 352527. What is r(36)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 579408242191 + -4.\nAnswer: 579408242187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pbp when three letters picked without replacement from rbpprrryyppppbrbyr?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 i when three letters picked without replacement from qwqqqwldi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 86959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 1124*g**3 + 40*g**2 + 20*g. Let o(k) = 2*k**2 + k. What is 2*a(r) - 40*o(r)?\nAnswer: 2248*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1140419563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -25859 or -25854?\nAnswer: -25859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57616.37ml to litres.\nAnswer: 57.61637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*0.06.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:34 AM and 4:18 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-one quarters of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2 + 1619272*m - 655510452496.\nAnswer: -(m - 809636)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d + 0 + 0)*(5 + 2 - 3)*(-17 + 17 - 10*d**2).\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*s**4 + 6*s**3 - 125*s**2 + 203034*s wrt s.\nAnswer: 84*s**2 + 36*s - 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 2 = q. Suppose n - 3*g = -0*n + 3, 2*n - 51 = -q*g. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20\/7 - 650\/301. Which is the fourth biggest value?  (a) w  (b) 0.3  (c) 0  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.25 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -16 (base 8) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/88 and ((-6)\/792)\/((-3)\/12*(-224)\/2562).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30544.\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 AM and 10:38 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/6*(-2)\/3*-57. Let o be (0 - y\/(-12)) + 3\/(-12). Calculate the remainder when (-168)\/(-20)*o\/(-2) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2208 and 169464?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5088 and 3402176?\nAnswer: 10206528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*n**2 + 65 + 12*n**2 - 65.\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 2\/49  (b) 0.64  (c) -0.2  (d) -1\/10  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -375744, -751487, -1127230, -1502973?\nAnswer: -1878716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5296 and -11.\nAnswer: -58256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -586809069138 + -0.4.\nAnswer: -586809069138.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 172 a factor of 11893456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = 48*o - 43*o + 34, -22 = 3*o + 2*q - 2 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -321*u - 2726. Let d(x) = x + 16. Determine d(p(b)).\nAnswer: -321*b - 2710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 100122 + -30131?\nAnswer: 3331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3600)*2 + sqrt(3600) - sqrt(3600) - sqrt(3600) - (sqrt(2025) - sqrt(2025)*-2))\/((sqrt(405) + -5*sqrt(405) + sqrt(405) + sqrt(405))*-1).\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -83, -35, 45, 157, 301, 477?\n\"Answer: 16*g**2 - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -0.03  (b) -0.1  (c) -1\/2  (d) 107.4  (e) 2\/5  (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (42 - 48 - -47)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i**3 - 85 + 263 - 91 - 87 + 4*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 135\/7 + 8\/(-28). Let a = v + 8. Calculate the remainder when a is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1323112 (base 4) to base 12.\nAnswer: -469a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 103369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -176*w**2 + 2111*w + 14. Let j be n(12). Let s(f) = 4*f - 8. Let x be s(4). Let u be (3\/(-3))\/((-2)\/4). Solve -x = j*l - u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1476504605?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 1. Let w = p - -7. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes after 3:05 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 9 + (-5 - -7) - 9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14096 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/57 - 2202907\/(-95). Let k = a - 23306. Let c = k - -117. Is c != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 66279660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 i when three letters picked without replacement from {i: 2, u: 3, s: 5, b: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*t + 0*t - 27*t)*((-3 + 2 - 2)*(2 - 6 + 2) - 6 + 3 + 2) to the form p + n*t and give n.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 7:20 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.48 - 0.48. What is the fourth biggest value in -0.1, 4, 1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -61*a**2 - 5507*a - 6937. Calculate v(-89).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(4\/2)*-2 + 92. Let v(l) = -l**2 + l + 4. Let n be v(-6). Let x = d + n. What is the remainder when x is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 35?  (a) 1\/4  (b) 2  (c) 23\/3  (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 904608 is divided by 4019?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzm when three letters picked without replacement from {m: 7, z: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -555 not equal to -16196\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20935 and 1353885?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1377 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1184*o + 5 = 1179*o. Let x(h) = h**2 - 2*h + 1. Let l be x(2). List the prime factors of (2 + l + -6 - o) + 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of -7*l**5\/20 + l**3\/2 - 9*l**2\/2 - 2*l - 44. Let q(g) = -10*g**3 + 5*g - 13. Calculate 5*q(j) - 7*y(j).\nAnswer: -j**3 + 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19845255 is divided by 18074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9356 - -327462\/35. Let k(z) be the first derivative of -5\/14*z**4 - 3\/7*z**2 + 4 - l*z**5 + 0*z - 2\/3*z**3. Factor k(r).\nAnswer: -2*r*(r + 1)**2*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -56106 + 98940. Suppose -y = -5*g + 8141. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1890 divided by -18\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21408, -21406, -21404?\nAnswer: -21402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 5241, 5225, 5191, 5133, 5045, 4921, 4755, 4541?\n\"Answer: -a**3 - 3*a**2 + 5245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*6644007\nAnswer: 3322003.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9523151.\nAnswer: 11, 865741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 85 + -48 + -11 + -3 + 2 + -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3991*f**3 - 218*f**2 - 169*f - 4 - 4*f**6 + 3988*f**3 - 7*f**4 + 169*f wrt f?\nAnswer: -480*f**3 - 168*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssystssttsttitisstts. Give prob of sequence iiii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjmmjjjmejemm. What is prob of sequence je?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the second derivative of 13*s**3\/6 - 93*s**2 + 123*s. What is the hundreds digit of h(35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -333, -1253, -2779, -4905, -7625?\n\"Answer: o**3 - 309*o**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -41.43644 + 41.4. Round b to 3 dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of -n**5\/20 + n**4\/8 - n**3 - 38*n**2. Let f(q) = q**2 - q + 1. Let b(t) = 63*t - 253. Let z be b(4). What is z*m(j) - 4*f(j)?\nAnswer: -j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 36766 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -335*o - 420 wrt o.\nAnswer: -335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1105 and 25?\nAnswer: 5525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 61 - 105. Let z = -131\/3 - b. Find l, given that -z*l**2 - 2\/3 + l = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 + 5*c**2 + 10*c + 49. Let j be d(-5). Put j, -2\/11, 3\/7 in increasing order.\nAnswer: j, -2\/11, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3600\/660*(11\/(220\/8) - 0).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 + 2 - (-3 + -3)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101 + 112112202?\nAnswer: 112112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2*sqrt(17)*5 + sqrt(1377)*-2 + (-1 + sqrt(17)*1 + 1)**2).\nAnswer: -168*sqrt(17) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - l**2 + 1)*(3*l - 7*l + 3*l - 11 + 5*l + l - 3*l + (-2*l + 0*l + 3*l)*(-1 - 1 + 1)) in the form i*l + z + n*l**3 + h*l**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 48*k**2 + 0*k + 3\/4*k**4 + 0 - 195\/4*k**3.\nAnswer: 3*k**2*(k - 64)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*c - 23*c = 5*c + 424 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 j when three letters picked without replacement from iijijiijjjii?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zss when three letters picked without replacement from {s: 2, z: 3, d: 1, y: 1, w: 2, v: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (832 - -8 - -8) + 9. Let u = v - 834. Calculate the greatest common factor of u and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 51, 67, 73, 63, 31, -29?\n\"Answer: -t**3 + t**2 + 20*t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 25*188\nAnswer: 4700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21 + -25. Let m = -2 - i. What is the second derivative of 2*u - 4*u**m - 4*u + 10*u wrt u?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + 5 + 15. Let d(q) = q**2 - q. Let r(i) = -5*i**2 + 5*i. Let a(g) = j*d(g) - r(g). Suppose a(n) = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 796?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-53774)\/5845*30\/4?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 3:42 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -30, 3*y - 15 - 9 = u. Solve 7*k + y = 9*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4607025367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 389275406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 40*a**2*m**3 + 19*a**2*m**2*w**2 - 4*a*m**2*w**2 + 4*a*m**2*w - 10*m**3*w**2 wrt m?\nAnswer: 240*a**2 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 6*t. Suppose -4*b = 3*i - 21, 3*b + 0*i + i = 12. Solve 5*j - b*v - 17 = 0, j + 15 = -4*v - t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(45\/(-135))*(5\/3 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 9*m**2 - 2*m + 129. Is d(0) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*n + a, -a + 1 = -3*n - 0*a. Suppose -5*f + 7*f + 2 = 0. What is the biggest value in n, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.7, 2\/3, -0.3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 + 7 = -3*c. Suppose -c + 25 = 4*v. Sort v, 7, 5 in descending order.\nAnswer: 7, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 - 2*l + 4)*(3*l + l + 0*l) - l**2 + 3*l**2 - l**2 - 1 + 4*l**2 + 1)*(8*l**2 + 24*l - 24*l).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -456*t + 454*t = -2*r + 14, 0 = t - t - 3*r + 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1905)\/(-9) - 2\/3. Suppose 0 = 5*f + 2*a - 11998, -3*f + 3*a + 7*a + 7210 = 0. Let u = j + f. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 200 (base 15) in base 16?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -70*t**2 + 160 - 313 + 66*t**2 to the form y*t + o + b*t**2 and give o.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h + 1. Let q(d) = -17*d**2 + 11*d + 11. Let w(m) = 4*q(m) - 44*u(m). Let s(n) = -n**2. Give s(w(g)).\nAnswer: -4624*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.52467 + -0.02467. Let z = 4.1 + -4. Which is the third biggest value?  (a) z  (b) y  (c) -1\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -15*b + 5. Suppose 22 = -5*o + 2. Let i be v(o). What is the greatest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12111 + -2101002201220?\nAnswer: -2101002221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-450)\/(-6) - (0 - 0). Suppose -p = -14*s + 429. Let k be (s\/24)\/((-6)\/4). Which is the biggest value?  (a) -3  (b) 5\/3  (c) 5  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 PM and 5:12 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2162\/211 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*x + 29 = 2*i + 44*x, -4*x = -5*i + 69. Suppose -7*r = -2*r - 4*k - 176, 4*r - 146 = -2*k. Calculate the remainder when r is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 36, -3, -2\/15, -7\/5, -0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 229947*z**4\/7 - 689840*z**3\/7 - 919791*z**2\/7 + 2759360*z\/7 + 12\/7 = 0.\nAnswer: -2, -1\/229947, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, q: 2, v: 1}. Give prob of sequence qqv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4354*g**5 + 2714*g**5 + 1069*g + 297*g wrt g.\nAnswer: -32800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 21\/4 of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 0, 47, 9 in increasing order.\nAnswer: -4, 0, 4, 9, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6019047 or -6019116?\nAnswer: -6019116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 85801 (base 11) in base 3?\nAnswer: 20100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve u**4\/2 + 2817*u**3\/2 + 1621533*u**2\/2 - 532579393*u\/2 - 535811199 = 0.\nAnswer: -1523, -2, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 2\/3, -2, -35 in ascending order.\nAnswer: -35, -2, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2788*k + 538086. Calculate z(-193).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: -102221 (base 3) to base 10\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 199822.\nAnswer: 2, 7, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 0.3, 1709, -1\/4, -0.31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence effa when four letters picked without replacement from {a: 1, e: 3, f: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence papy when four letters picked without replacement from epaypee?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 + 40 - 26 + 4*z**2 + 29 - 28.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7156081.\nAnswer: 659, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(136) + (-2*sqrt(136) - sqrt(136) - sqrt(136) - sqrt(136)) + sqrt(136)))\/(2*(sqrt(128) + sqrt(8))).\nAnswer: 9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 40 = -0*d. Suppose d*c = 7*c + 40. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 39879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((8\/42*-7)\/(-4))\/(1 - 2\/(-3)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45\/(-9) + 8\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/18 and -131\/228.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -2*r**2 + 1. Let m(f) = -21*f**2 + 11*f**2 + 12*f**2 + 0*f + 0*f. Calculate c(m(j)).\nAnswer: -8*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 2. Let x(t) = t**3 - 5*t**2 + 5*t - 6. Let j be x(4). Let l be 3 + j + (-5)\/7. Which is the smallest value?  (a) -4  (b) s  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 x when three letters picked without replacement from {x: 2, a: 4, q: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/27 in -1, 1\/5, -4, 2\/5, -0.39?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 2*n**3 - n**2 - 3*n + 1. Let g = 7 + -4. What is the units digit of k(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 smaller than -364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 15 = -3, 0 = 5*t - 5*p - 30 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/6*1107\/(-2296)*21\/(-18).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -206809300 rounded to the nearest one million?\nAnswer: -207000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6 - 4)*(2 - 1). Suppose k*w + 2*v + 14 = -2*v, 0 = -3*w + v + 14. Suppose -o + 22 = 4*p, 2*p + 3*p - 31 = -w*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -236 = -4*m + f, -2*m + 284 = 3*m - 4*f. Suppose -5*s - 25 = -4*a - 113, -2*s - 4*a = -52. Calculate the highest common divisor of m and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58014 + -12.57.\nAnswer: 58001.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -2\/5, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 47*g + 4. Let n be m(1). Suppose k + n = 54. Calculate the lowest common multiple of 41 and k.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11011 - 1010001101100011001000?\nAnswer: -1010001101100011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 + -6. Let y be (-29 - -1)*(-4 - 1). Let c be 1*23\/7 + (-40)\/y. Solve c*i = -n + 6*n + r, 5*i - 4*n - 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 15*g**3 + g - 1. Let m be (-4540)\/8 + 4\/8. Let o = m - -568. Calculate k(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -199\/1170 and 113\/360?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(175) + -3 - (-3 + sqrt(175) - sqrt(175))*-6)**2 - (5 + sqrt(175)*-4 - (-1 + sqrt(175) + 3 + sqrt(175) + sqrt(175)))**2) + 5.\nAnswer: -6563 - 420*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1888669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (15\/(-25))\/(1\/(-5)). Suppose 0 = 2*u + 4*s - 6, -2*u - 4*s = d*u - 9. Calculate the greatest common factor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dnlss. Give prob of sequence nls.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-4)\/3)\/(4\/(-24)). Put -2, c, 1 in decreasing order.\nAnswer: c, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*o - 2*a + 16, 12*a + 34*a = 5*o - a - 119 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35629\/689 + 672\/13. Let p = y + -47\/318. Which is the smallest value?  (a) p  (b) 2\/3  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20222 + -10?\nAnswer: -20232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -162 - -161. Let q be (1 - -4)*(-6 + 5)\/t. Solve 16 = c - q*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 647 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -47.7421 rounded to 1 decimal place?\nAnswer: -47.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-34)\/(-4) - ((-3 - 3) + 12). Suppose 5\/2*x**2 + 0*x - p = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -3*t**3 - 431*t**2 + 147*t + 434. What is k(-144)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -3*g**2 + 4787*g. Let w(j) = 395*j. Give u(w(f)).\nAnswer: -468075*f**2 + 1890865*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(-6))\/((-36)\/2)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = f - 31665, 5*f + 47*i - 51*i = 158361. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28, 5, -20, -9, 16 in descending order.\nAnswer: 16, 5, -9, -20, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1325 divided by 910\nAnswer: 265\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 3*v = -4, 3*m + 1 = -5*v + 7. Let d = -5 + 7. Calculate the remainder when d is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3690232 divided by 51.\nAnswer: 3690232\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddle when four letters picked without replacement from lellldledllledldll.\nAnswer: 11\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11964, 11963, 11962, 11961?\nAnswer: 11960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 83 = d - 79, -2*d + 12 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -284*h + 265*h - 22*h**2 - 461*h + 24*h**2.\nAnswer: 2*h**2 - 480*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 9*g + 618. Suppose 2*j + j - 543 = 0. Let t = j - g. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 115*d. Suppose -18*u = -23 + 77. Let c(l) = 7*l**2 - 3*l. Let q(n) = 12*n**2 - 5*n. Let g(s) = u*q(s) + 5*c(s). Give g(r(y)).\nAnswer: -13225*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of -f**3\/12 + 59*f**2\/8 - 55*f - 1014. Factor t(a).\nAnswer: -(a - 55)*(a - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 2*p + 4280 = 0, -2*j + 4*p + 2311 = -545. List the prime factors of j.\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(6912) - (sqrt(6912) - (2 + sqrt(6912))))**2 - sqrt(6912) - 3*sqrt(4800)) + 0.\nAnswer: 24*sqrt(3) + 6915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 4*p + 3. Let m(d) = 21*d + 16. Let v be (-1)\/(14\/20*(-3)\/(-21)). Let t = v + -1. Calculate t*x(o) + 2*m(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(210)\/(sqrt(6) - sqrt(96) - sqrt(6)))\/(1*sqrt(252)).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 237215499?\nAnswer: 3, 4673, 16921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 24\/(-30)*5\/(-2). Find the first derivative of 5 + y*o - 2*o - 8*o - o wrt o.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zaza when four letters picked without replacement from azzazza?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 20*0.04953\nAnswer: 0.9906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.4 + 10.6. Let u = 6 - y. Let t = 7.3 + u. Which is the third biggest value?  (a) 3  (b) t  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 + 117*t - 2137. What is w(-133)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 1.006605, 1.\nAnswer: -0.4, 1, 1.006605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 348240.\nAnswer: 2, 3, 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4187 - 4187.03914. Round b to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + 109ab7?\nAnswer: 109ab8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -27*d**2 + 7*d + 18. Let i(q) = 4*q**2 - q - 1. Calculate -2*h(v) - 14*i(v).\nAnswer: -2*v**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 112212 (base 4) in base 7?\nAnswer: 4134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 15750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63 = 140*y - 161*y. Let b = 7957\/56 + -964\/7. Which is smaller: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -648 < -657764\/1017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes after 4:36 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4*((-9)\/78)\/3. Let v be (1 - (-2 + 0))*1. Let x be 0*(3\/v)\/2. Is x at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 279 + -195. Let h = 143 - j. Let u = h - 58.5. Which is the nearest to 1?  (a) u  (b) -2  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 7*l + 449 - 992 - 11*l + 6*l. Let y(s) = -3*s. Give k(y(j)).\nAnswer: -6*j - 543","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*((-10)\/4 + (8 - 5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 3992.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -29, -47, -103, -215, -401?\n\"Answer: -3*o**3 - o**2 + 6*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -55 + 55 - 23*g**3 + 28*g**2 wrt g?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (104\/(-28))\/(-13)*-21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.206 - -27.006. Let p = x + -27. Let h = -1 + p. Which is greater: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3444 - 2*b - 3448 + 6893 - 5*b**4 + 3*b**2 in the form m*b + q*b**3 + p + k*b**2 + w*b**4 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -5318*g + 42624. Determine o(8).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2619315\/98 + 26728. What is the common denominator of 25\/114 and u?\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16 + -12. Suppose -c - 3*c + 49 = 3*u, r*c - 31 = 3*u. Let f = c - -26. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 1\/733351?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -34 * 40\nAnswer: -1360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - 0. Let x = -7 - -4. Let v(h) = -h - 2. Let a be v(x). Solve b = -o - 2 - a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + -7. What is the third derivative of 22*l**2 - 8*l**5 - l**6 - 7*l**a + 15*l**5 wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**2 + 12695*x + 189300.\nAnswer: 5*(x + 15)*(x + 2524)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**2 - 31*y + 292. What is m(12)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -7325, -12462, -26399, -53534, -98265, -164990?\n\"Answer: -733*z**3 - 2*z**2 - 6590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6519810*f**3 - 2262378*f wrt f?\nAnswer: 39118860*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1875604119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 5*v + n, -200 + 210 = 2*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - 1214\/(-22)) + (-12)\/66. Find the common denominator of -1 - 14\/3*h\/(-20) and 26\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 438 times -1.0498\nAnswer: -459.8124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 134 - 936\/7. Let f(c) = c**3 + 3*c**2 + 2*c. Let j be f(-2). Let v = -1 + j. Which is bigger: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1591*a**4 - 17896*a**3 - 2*a**2 + 30662910*a + 2 wrt a.\nAnswer: -38184*a - 107376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tqjeptjjqqqjt. Give prob of picking 2 q and 1 t.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -514 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -51804130 to the nearest one million.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-96)\/(-84))\/((-4896)\/(-336)).\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -918645428*z + 459322712*z + 459322702*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggww when four letters picked without replacement from {g: 15, w: 3}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 622.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3 = -2. Let d = 4 - y. Solve z - d*z = -8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 52292, 209111, 470480, 836399, 1306868, 1881887?\n\"Answer: 52275*n**2 - 6*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 55*v. Let y(k) = k + 2. Let f(z) = -4*z - 6. Let m(j) = f(j) + 3*y(j). What is c(m(t))?\nAnswer: -55*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/(-3840)*24)\/(2\/(-170))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3331116312 - 4?\nAnswer: -3331116316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 403 less than 448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 107 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-20)\/(-11) + (-6)\/(-33). Factor -20 + 4*f**2 - 19*f**2 + 51*f + m.\nAnswer: -3*(f - 3)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*w + 110 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1314*b**2 + 2064*b**2 + 2063*b**2 - 5432*b**2.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*h + 29550 = 54*h. What are the prime factors of h?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -2*f**2 - 16*f + 20. Let s be d(-9). Suppose s*x - 5 - 5 = -o, -3*o + 5*x = 3. Solve o*g - 10 = m, -4*g + 2*g + 6 = -m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s**2\/5 - 7228*s\/5 + 13060996\/5 = 0. Calculate s.\nAnswer: 3614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 3*n**2 - n + 2. Let s(i) = -4*i**2 + i + 4 - 4 + 2 - 4. What is 5*g(a) + 4*s(a)?\nAnswer: -a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 + 5*o - 12. Let b(u) = -2*u**2 - 6*u + 13. Let w(l) = -2*b(l) - 3*z(l). Let d = -55 - -66. Calculate the lowest common multiple of d and w(4).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*sqrt(96) + sqrt(96) - sqrt(96))*-2*-6)\/(-4*sqrt(512)*-2))**2.\nAnswer: 243\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**3\/9 - 74*l**2\/9 - 48*l + 224 = 0 for l.\nAnswer: -28, -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 43, 4 in ascending order.\nAnswer: -8, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 1\/5  (c) -1\/7  (d) -0.3  (e) 43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -47394257, -94788514, -142182771, -189577028, -236971285?\nAnswer: -284365542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.29 times -0.14\nAnswer: -0.0406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1922456900 rounded to the nearest 1000000?\nAnswer: 1922000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 128*r**4\/7 + 24416*r**3 + 56817074*r**2\/7 - 22459668*r + 108309762\/7.\nAnswer: 2*(r + 669)**2*(8*r - 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -8*d - 10. Calculate m(6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16599*w**2 + 1526*w**3 + 5530*w**2 + 5537*w**2 - 4 + 9*w**3 + 5537*w**2 wrt w?\nAnswer: 9210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {t: 1, j: 4, x: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhed when four letters picked without replacement from fdeffhcchc.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 957733649 and 5998?\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52) + -1)*-2*3 + ((sqrt(143) + ((sqrt(143) + (sqrt(143) - -2*sqrt(143)))*5 - sqrt(143)) + sqrt(143))\/(-2*sqrt(176)))**2.\nAnswer: -12*sqrt(13) + 6117\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 254 divided by -10.\nAnswer: -127\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = -2*n - 0*n. Solve -3 = -k - n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/4*20\/3. Let u(f) = f**3 + 10*f**2 - 3*f + 5. Let d be u(n). What is the highest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(0 + -1) - -5. Suppose 70 = z*o - 5*x, -2*x - 4 = -x. Suppose -244 = -14*q + o*q. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 - 8\/((-88)\/(-143)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28*w + 50*w - 32*w + 57 to the form s*w + k and give k.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l + 1. Let o(w) = -w**2 + 3. Let i(p) = 6*f(p) + o(p). Let g be i(7). What is the first derivative of -1 + k**g - 13*k + 0*k**2 + 13*k wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -14*s**2 + 263*s - 819. Give i(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 o when four letters picked without replacement from opopppppop?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/2 - (16 - 7). Let a be 3*(-1 - 0) - f. Let m(z) = z**3 - 4*z**2 + 5. What is m(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9 + 48541b?\nAnswer: 485427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 513.8485mg to grams.\nAnswer: 0.5138485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of -m**5\/12 - 5*m**2\/2 + 1. Let p(f) be the second derivative of q(f). Let g(o) = -2*o. Determine p(g(j)).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25724 and 2180?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 627697 to the power of 1\/2, to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fviddffdfofvfifoii.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + 0 - (-4)\/(-4). Is ((-6)\/f + -6)\/((-6)\/46) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 + 13 + 11*o - 26)*(-2503 + 2503 + 117*o).\nAnswer: 1287*o**2 + 117*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7098.5 - 6228.76. Round t to the nearest ten.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/864843632 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (270\/273 + 2\/13)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.65 + 0.5. Let b = -0.05 + r. What is the nearest to 1 in -2, 1\/5, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1780 - 1776.423. Let i = k - -0.023. What is i rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + -1123111302?\nAnswer: -1123111300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*y + 117*y + 229*y = 9450 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*j*k**4 - j*k**3 + 9*j*k**2 + 9*j*k + j - 3*k**2 - 201*k + 4 wrt k?\nAnswer: 108*j*k**2 - 6*j*k + 18*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 12 - 560100?\nAnswer: -560099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -195*k**2 + k - 6*k + 5*k.\nAnswer: -195*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s + 9. Let t be g(-12). Let r be 1 + 7 - (t + 4). Let n be 1\/1 + r\/(-6). Are 1 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-120042)\/(-1092) - (-1)\/14 and 590.\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 760170?  (a) -0.1  (b) -1\/7  (c) -132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 232438 and 460.\nAnswer: 2324380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 82 = g, -3*a + 230 = -4*g + 3*g. Suppose -5*y - 4*j - 396 = -0*j, -2*j = y + a. List the prime factors of y\/6*3\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 58 - 56. Suppose 0 = -3*l + j + 475, 4*l - q*j - 625 = j. What is the greatest common factor of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 2*l**3 - 36*l**2 + 6*l - 97. Determine g(18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * 0.17.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 7  (b) -2\/7  (c) 0.4  (d) -3  (e) 2454527\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3720 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express x**2 - 5*x + 2*x + 3*x as o*x**2 + m*x + r and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54736, 52105, 49474, 46843, 44212?\nAnswer: 41581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = 2*j - 0 + 16, 4*j = -3*x - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42400 = -3*a + h, -a + 10016 = -4*h - 4099. Suppose -a = 37*i - 48*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 43 + 54*l**2 + 20*l**2 + 21*l**2 wrt l.\nAnswer: 190*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -0.1  (b) 1\/4  (c) -2\/19  (d) -21  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of 4 + 0*u**2 - 9*u - 5\/3*u**3. Differentiate x(v) with respect to v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/(-60) - (-10)\/(-50).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 107214351.\nAnswer: 214428702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 9*f**2 + 486*f + 1. Let s be a(-54). Let p(u) = 1. Let w(r) = -31*r**2 - 62. Give s*w(k) + 62*p(k).\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1178, -3\/2, -9, -2, -3\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 69217, 138435, 207653, 276871, 346089, 415307?\n\"Answer: 69218*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(-34))\/((z*z**(1\/16)*z)\/z))**(12\/5))**(2\/53) assuming z is positive.\nAnswer: z**(-327\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 38.5 + -38.8. Sort 0.1, x, 16.\nAnswer: x, 0.1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 439 - 393. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20053666 equal to 100268334\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1020 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 286306 and 9580447.\nAnswer: 2701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pmxxvffvfhmmhhx. What is prob of sequence ff?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -3 + 17 + (88 - (30 + 25)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 119  (b) -3  (c) 4  (d) 2\/417  (e) -0.5  (f) -4  (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 12:38 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 121032 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9521 + 9521 + 3*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 4 = d, -6 = -406183*d + 406182*d + 5*n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 22*t - 1505. What is the remainder when 376 is divided by a(73)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 5 = -2*t. Suppose 6 = 2*f + t. Let p = -0.1 + -0.4. Which is the third biggest value?  (a) 3\/5  (b) p  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**2 - 8*q - 8. Let y be v(9). Is 1 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -2*v**3 - 16*v**2 - 42*v - 13. Give w(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -203241339 and 0.1.\nAnswer: -20324133.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -6, 3, 5 in decreasing order.\nAnswer: 5, 3, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 15*s = 14*s - 6, 3*s + 18 = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -342.59 take away -0.3?\nAnswer: -342.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 136798, 136813, 136924, 137179, 137626?\nAnswer: 138313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -580300 rounded to the nearest ten thousand?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1255.18919 rounded to one decimal place?\nAnswer: 1255.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 342*p**2 + 21*p. Let f(k) = -32831*k. What is f(j(q))?\nAnswer: -11228202*q**2 - 689451*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-12 + 10 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-59)\/(-3) - 4\/(-12). What is the highest common factor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6403.\nAnswer: 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**2)\/t**(-2\/11) assuming t is positive.\nAnswer: t**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -291 + 69*p**3 + 7*p**3 + 293 - 5*p**2 - 26*p**2 to h*p**3 + m*p + f*p**2 + t and give f.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 40390*j**3 - 175. Let d(f) = -918*f**3 + 4. Calculate 175*d(i) + 4*h(i).\nAnswer: 910*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 2*m = 0, -w + 4*m - 21 + 3 = 0. Let s(k) be the first derivative of -w + 0*k - 1\/3*k**3 + 0*k**2. Let q(i) = 4*i**2. Determine s(q(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3742119 divided by -6?\nAnswer: 1247373\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**12*m*m)\/m*m*m\/(m**(2\/5)\/m*m)*(m*m**3)**(-3\/8) assuming m is positive.\nAnswer: m**(141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 26638810771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.4  (b) 3  (c) -3  (d) -119  (e) -13.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2259601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*i**3\/9 + 1066*i**2\/9 + 8624*i\/9 + 17312\/9 = 0. Calculate i.\nAnswer: -4, 541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 4, -9\/4, 2 in increasing order.\nAnswer: -5, -9\/4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (265*u - 265*u - 52*u**2)*(2*u - u + 5*u)*(u + 3 - 3).\nAnswer: -312*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 26\/12579 and -58\/21.\nAnswer: 12579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -19399 (base 10) to base 11.\nAnswer: -13636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 468\/27*6\/20 - 9\/45. Sort 3, 2, 8, -4, p in decreasing order.\nAnswer: 8, p, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1373, 1407, 1455, 1523, 1617, 1743?\n\"Answer: y**3 + y**2 + 24*y + 1347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-8) + (-117)\/(-36). Solve 2*c + m = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 908280 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 8) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (-1 - (-7 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 2 = -6. Let d = -31 + 37. Suppose -r + 4*r + d = 0. Is r > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**3 + p**2 - p + 19. Let x be l(0). Let z = -185 - -189. Let -10*y - x*y**2 + 32*y + z - 7*y**2 = 0. What is y?\nAnswer: -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -932 + 927. What is the nearest to 0.1 in -7, g, -1, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2797.631 minutes to milliseconds.\nAnswer: 167857860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 54978011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 53592, 106102, 158616, 211134, 263656, 316182?\n\"Answer: 2*u**2 + 52504*u + 1086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 354861 and 3?\nAnswer: 354861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/2513, -1\/2, 5, 1.6, 0.3, 1\/3 in descending order.\nAnswer: 5, 1.6, 1\/3, 0.3, 4\/2513, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-39)\/(-6) + ((-12540)\/88)\/95?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h + 1. Let i(m) = -2*m**2 + 18*m - 9. Let c(o) = -18*a(o) - 2*i(o). Let g(d) = -5*d. Calculate g(c(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 143*s - 138*s - 80 = 0. What is the remainder when 47 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(832) + -1 + -2*sqrt(832) - -3*sqrt(832)*-5 - (-5 + (-5 + sqrt(832) + ((sqrt(832) - sqrt(832)*2) + 0 - sqrt(832)))**2).\nAnswer: -853 - 208*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -5*a**3 + 40*a**2 + a - 3. Let u be f(8). Suppose -n = u, -4*t - 3*n - 568 = -1933. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 3*r + 6, -6 = 7*l - 9*l. Solve 9*j + 4*f - 16 = 12*j, r = -3*j + f - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 + 297*i - 2751. Let u be h(9). Solve 12 - 3 = u*j, 2 = -4*f + 2*j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 92939 - 4965. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1930*d + 1321.\nAnswer: 1930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 656253 divided by -9243?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/702*(153\/918)\/((-10)\/(-48)).\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (3\/24)\/((-2)\/(-4))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*s = 44*s - 1428. What is the remainder when 217 is divided by (1 - 2) + (-5 - (-7 - s))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1593?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -175*j + 110*j + 100*j.\nAnswer: 35*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -65*q + 62*q, 3*v + 2*q - 23 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 80*i**2. Let p(j) = -1956*j. What is p(s(m))?\nAnswer: -156480*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -49.4 - -49. What is the second smallest value in 0.2, f, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*a**2 - 5825*a + 11670 = 0. Calculate a.\nAnswer: -1167, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 3, -4, -2, 82 in increasing order.\nAnswer: -4, -2, -0.5, 3, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 157*z - 23870. What is o(152)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 140794 - 140792.45269. Let t = 1.539 - n. What is t rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 164*q**2 - 12*q + 42. What is the tens digit of n(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-15) + (-3)\/(-5). Let h = 0.13 + 8.87. Let f = -8.6 + h. What is the third smallest value in -1, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -432 - -431.7. Let x = -6.8 + 7. Put m, -2, 0, x in decreasing order.\nAnswer: x, 0, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/153775936 and 55\/104752?\nAnswer: 153775936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 830 * 0.191.\nAnswer: 158.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.6190498 centimeters?\nAnswer: 6.190498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 995, 1025, 1075, 1145, 1235, 1345?\n\"Answer: 10*o**2 + 985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*k**2 + 38*k - 38*k)*(-2 - 10 + 3 - 6).\nAnswer: -315*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -5*s. Suppose 0 = -2*g - 2*g + 4. Let w be y(g). Let f be 148\/16 + -9 - 2\/8. Put f, w, -0.3 in ascending order.\nAnswer: w, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of -v**6\/24 - v**5\/3 - 25*v**4\/24 - 5*v**3\/3 - 35*v**2. Suppose t(a) = 0. What is a?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 565340 and 28520.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 11\/33 - (-3)\/(9\/(-400)). What is the remainder when 402\/7 + 57\/j is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3768082 is divided by 376800?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 5*d + 17 = 3*q, -2*d - 21*q + 1 - 24 = -30*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 4, 182, -2\/9, -2.\nAnswer: -2, -1\/4, -2\/9, 4, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (38\/6)\/((-305)\/915)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, g: 1, j: 2, a: 9}. Give prob of sequence aa.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 - 14*o**2 + o + 16. Calculate d(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*p - 3*p - 32. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -83, -728, -2469, -5852, -11423?\nAnswer: -19728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2737 - 9877 = 742*s for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**2 + 2*p**2 - 2*p**2)*(0*p - 2*p + 0*p) - 37*p + 37*p + 3*p**3 - 20779 + 20779 - 196*p**3.\nAnswer: -191*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11\/2?  (a) 1  (b) 708  (c) 1\/5  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 672, 670, 668, 666, 664?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -200649.5 + 0.04238\nAnswer: -200649.45762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1372 is divided by 454.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -3444 at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -107, -1, -6.\nAnswer: -107, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82487856 is divided by 88?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j + 375 - 1145. Let f = -434 + j. Suppose 2*g - f = 4*l, -5*l = -g - 4*l + 164. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = 2*i - 4*i + 18. Let r = -2 + 8. What is the lowest common multiple of i and r?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 0.28878\nAnswer: 0.028878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 116626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 43819*k**3 - 2*k**2 - 39751?\nAnswer: 131457*k**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78833.\nAnswer: 31, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 69*-1077704.3.\nAnswer: -74361596.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2458*8121.1.\nAnswer: -19961663.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 - 7*k - 9. Let j be z(11). Suppose -j = g - 9. Let i = g - -53. Calculate the remainder when i is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 5*u = -u + 15, 0 = -5*u - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20454095 and 335.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6572*g**3 - 3 + 3 + 3109*g**3 + 3150*g**3.\nAnswer: -313*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 985516110 to the power of 1\/3, to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4284)\/374 - (-12)\/(-22). Let b be -7 - (-1 + 4 + v). Sort b, -4, 5, -9 in ascending order.\nAnswer: -9, -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27608892, 27608879, 27608852, 27608805, 27608732?\nAnswer: 27608627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1011111111010011101 (base 2) to base 7\nAnswer: 3224240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (26*(-24)\/(-192)*8\/(-10))\/((-3)\/(-3))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 - 74*u**2 + 5194*u + 278. Calculate w(-118).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -40, 1, 2, -215, -5 in descending order.\nAnswer: 2, 1, -5, -40, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zob when three letters picked without replacement from {b: 1, o: 3, z: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 34104635?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 220 + -1761\/8. Let b = -0.079 - 35.921. Let d = -48 - b. What is the fourth smallest value in -2, f, d, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of 11*f**4\/12 + 7*f**2\/2 - 6*f. Let j(d) = -1. Let c(u) = j(u) - w(u). Find the first derivative of c(a) wrt a.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-128)\/(-20) + -2 + -4. What is the nearest to -2 in 1\/2, u, -11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8358 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -5*b**3 + 5*b**2 + 2*b - 1. Let z(u) = 10*u**3 - 9*u**2 - 4*u + 2. Let a(h) = -11*p(h) - 6*z(h). Calculate the remainder when a(-2) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 273.637 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times -0.1\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 - 9 = 4*o. Suppose -o*t - 7*t = -39. Solve 9 = t*l - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11949, -19584, -27223, -34866, -42513?\nAnswer: -50164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**0\/k*k*k)\/k**(2\/5))\/((k*k\/(k**(-3)\/k))\/(k**(4\/9)*k)) assuming k is positive.\nAnswer: k**(-178\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -k + 5*k + 429, -5*k = -3*h + 432. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, i: 1, u: 1, y: 2}. Give prob of sequence mu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 + 6*d - 8. Let j be m(-4). What is the remainder when 53 is divided by 168\/(-9)*24\/j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -34502082 + 34502088.2000078. Let y = -6.2 + p. Round y to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 96014782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + 1011011010?\nAnswer: 1011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 364 + 67 = 0. Find the common denominator of 89\/12 and (-6)\/((-147)\/j + 1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 4\/5 and -113444 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 2*p - 18 = 0. What is the units digit of (-39)\/(1\/(6\/p))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -165663 + -12?\nAnswer: -166005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 54123, 108366, 162607, 216846, 271083, 325318, 379551?\n\"Answer: -b**2 + 54246*b - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1202112102212 (base 3) to base 7.\nAnswer: 10644530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b**2 + 0*b**2 + 2*b**2)*(-17*b + 93 - 93) - 6 + 6 + 13*b**3.\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -2*j + 16. Suppose -3*z + j = -5. Is (2 - 5\/z)*267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8305078um in centimeters?\nAnswer: 0.00008305078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of -2*v**3\/3 + v**2 + 6. Find the second derivative of r(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7.16 + 7.1601504. Round c to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1646760 - 525956 = -91*q. What are the prime factors of q?\nAnswer: 2, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14691 + -9129. Is 27 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 229\/48, 3, 133 in descending order.\nAnswer: 133, 229\/48, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00301093 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(2) + 4)*1.\nAnswer: 4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20661\/10 + 2066. What is the nearest to 2 in -21, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -840, -1167, -1494, -1821?\nAnswer: -2148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1296.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43258849?\nAnswer: 1181, 36629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -302 (base 5) to base 9\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3537 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (1 - 2 - (2 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 - 1)*(-19*j + 19*j - 24*j**3).\nAnswer: 72*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 187*k**2 - 35*k - 686. Let y(w) = 6*w + 1. Let u(f) = -h(f) - 6*y(f). Differentiate u(s) with respect to s.\nAnswer: -374*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 205.\nAnswer: -3\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rjxxxxxxjxxrxx. Give prob of sequence jr.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 6 = -2*n - 0*q, -1 = -4*n - 3*q. Calculate the remainder when 2 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 PM and 4:33 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * 16.5471\nAnswer: -4.96413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f - 35 - 33 + 68.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (108*j**2 - 221*j**2 + 99*j**2)*(16*j - 26*j + 12*j)*(3*j + j - 3*j).\nAnswer: -28*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3272524 divided by -39428?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21*q**2 - 26*q**4 - q**3 - 1458 + 2*q + 1458 wrt q?\nAnswer: -624*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 f, and 1 l when three letters picked without replacement from {f: 8, p: 2, l: 8}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of -w**5\/12 + 25*w**4\/24 + 5*w**3 - 2*w**2 - 18. Solve z(x) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(35\/10 + -3). Suppose -t - u*t = -645. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/1*6376\/3985.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8d (base 16) in base 8?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -133079.3 and -0.4.\nAnswer: 53231.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/36888 and 41\/28961691?\nAnswer: 231693528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 978187 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6441 = 333*a + 31749 for a.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 144172?\nAnswer: 2, 7, 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 6763, 13422, 19969, 26404, 32727, 38938?\n\"Answer: -56*h**2 + 6827*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -45 - -45.2. What is the nearest to 8 in -2, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1428673021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 481095 is divided by 72.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (4490\/(-4))\/(17\/(-34))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2531 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 6 + 2 = 2*y, 0 = -3*o - 4*y + 18. Suppose o = 55*z - 54*z. Find g, given that -2\/9*g**4 + 14\/9*g**3 - 10\/3*g**2 + 0 + z*g = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 17*h - 8 + 11.\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17 (base 9) to base 3.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-53872)\/819)\/148 + 777\/(-216)*-2. Let 11\/4*t**3 - 11\/4*t + 1\/4*t**4 - 7 + b*t**2 = 0. Calculate t.\nAnswer: -7, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*m + 3*m - m = -156. Solve m*h = -3*h + 64 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 82 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1038*1175\/(-567000) + 33\/(-15) and -73\/630.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of 7*z**3\/3 - 3*z**2\/2 + 27*z. What is j(3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 + 102*m**2 + 208*m - 20. Let r be b(104). Do r and -76 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -3*b - 1. Let y be r(-1). Suppose 0*m = 4*m - 12. Suppose -y*i - m*i + 10 = 0. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 1 - 16 = 0. Let d be 4\/((-6)\/((-9)\/f)). Solve -n + d = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*k**2*s**4 - 3003*k**2*s**2 + 3*k**2 + 14800*s wrt s?\nAnswer: -24*k**2*s**2 - 6006*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1404860 and 5092?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 62692421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4392, -8827, -13286, -17763, -22252, -26747, -31242, -35731?\nAnswer: -40208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 4*w - 3*f - 19, -2*w + 2 = 2*f. Suppose -3*x + 774 = w*p + 38, 2*p - 5*x = 313. What is the remainder when p is divided by 68?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -88 - 40 - 4*p**4 - 8*p + 38*p**3 + 54*p**2 + 42*p**2 - 7*p**4 + 13*p**4.\nAnswer: 2*(p - 1)*(p + 2)**2*(p + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 171012 or -0.071?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 57439.61766 rounded to the nearest ten?\nAnswer: 57440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3404 + -16647\/5. Let f = x + -74. Factor -3\/5*z**4 + 0 + 0*z - 3\/5*z**5 + f*z**2 + 3\/5*z**3.\nAnswer: -3*z**2*(z - 1)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 133 + 22323311?\nAnswer: 22330110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k + 51291 - 19959 = 0. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - -11b381?\nAnswer: 11b382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 41 = -5*v + 27, -2 = 3*v + 5*z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9 and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 2*p**3 - 2*p**2 - 2*p - 2. Let o be f(-2). Is 11 a factor of (1 - -3)*o\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5495672 divided by 392548?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5330052 + -4?\nAnswer: 5330044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v = -5 + 33. Suppose 8*r = 12*r + v. Let m be r - (-9 + 3) - 9. Let g(c) = -c**2 - 3*c + 3. Calculate g(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -17677597 < -17677537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (35\/(-462))\/((-7646)\/(-126159))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 0*g = -20. Suppose 6*m = 35*m + 4*m. Put m, g, -11, 4 in decreasing order.\nAnswer: g, 4, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 PM and 9:25 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-26)*(-5 - -7). Suppose -x + 7 = 3*g, -6*g + x = -g - 9. Let p = g + -6. What is the nearest to 0.1 in p, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 525050?\nAnswer: 2, 5, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -18  (b) -3  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5544\/4752)\/(7\/19).\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 38536886, 38536873, 38536860, 38536847, 38536834?\n\"Answer: -13*f + 38536899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 + 214*x + 10698. Give l(-133).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -36020*u - 35594. Determine d(-1).\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -27 - -5d8d9?\nAnswer: 5d8b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2*i + 51825 = 4*q, 0 = -4*i + 4*q + 41460. Suppose -6*j + j = -i. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 3*f**2 + 2*f**4 - 12*f**2 - 17*f**2 to n + m*f**2 + j*f**3 + k*f + r*f**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 230572 or 230576?\nAnswer: 230576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.0159918 - 0.016. Round a to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 5 = a, -41*a = -46*a - 3*c - 29 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the third derivative of 0*l + 0 + 128\/3*l**3 - 127*l**2 - 3\/70*l**7 + 0*l**5 + 1\/6*l**4 + 0*l**6. Find the first derivative of k(a) wrt a.\nAnswer: -36*a**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 5*m - 10 = 19*m - 9*m, -8*m = 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 5 = -3*n + 2, n = 5. Suppose -8 = -4*b + 2*w, w + 0 = -h*b + 8. What is the second derivative of -k - k**b - 2*k + 5*k wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + h + 4*h - 4171, 4*s + h - 4191 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) - sqrt(63))*4 - (sqrt(7) + sqrt(7) + 1 + sqrt(175)))**2 - (-2 + sqrt(7) + sqrt(7)*-2)**2*5.\nAnswer: 10*sqrt(7) + 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9746320072.0000563 + 9746320581. Let c = -508.71665 - 0.28335. Let t = c + a. Round t to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 477\/5 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + (-7)\/2)\/(4\/40).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 179\/555 + -7\/37. Let o = r - -16\/15. Let v = -0.06 + 0.56. What is the nearest to -2 in v, o, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -29*c**2*l**2 - c**2*l*q**3 - 2*c**2*q**3 - c*l**2*q**3 + 2*c*l*q**3 - 3*l**2*q**3 - 17*l*q**2 wrt c.\nAnswer: -58*l**2 - 2*l*q**3 - 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 58916 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13.2 - -5. Let w = f - -8.157. What is w rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - (1 + -18)) + -3 + -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1479 = 26*x - 23*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 + 3*u**2 + u + 1. Let t be w(-2). Let i(x) = x**2 - x**2 - 2 - 4*x**2 + x + 5*x**2 - x**t. What is i(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*a**3 - 1088*a**2 + 24720*a - 44928.\nAnswer: -4*(a - 2)*(a + 72)*(5*a - 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 34 - 14. Let d be (30\/(-50))\/(2*(-2)\/q). Let w(y) = 4*y + 11 + d*y - 8*y. Let t(h) = -2*h. Determine t(w(g)).\nAnswer: 2*g - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y + 7. Let g be z(5). Let q = 9 + g. What is the smallest common multiple of 4 and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/(-10))\/(42\/(-1260)). What is the highest common factor of 20 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 5*i + 11, 4*g - 6 = -0*i - 2*i. Suppose g*s = -0*s + 2, -2*v - 2*s = 4. Sort v, 1, 5 in increasing order.\nAnswer: v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1483837102 and -0.6.\nAnswer: 1483837101.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -5*u**2 + 5*u - 10. Let g(v) = v**3 + 26*v**2 - 24*v + 51. Let c(a) = -2*g(a) - 11*p(a). Let l be c(2). Let k(m) = -m**2 - 9*m. Determine k(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44925830 rounded to the nearest 10000?\nAnswer: -44930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1566965 is divided by 353?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -46.6  (c) -58  (d) -53  (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -25116.1377 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 4, -2\/5, 4.03, -0.1, 5\/13, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/5 <= 0.1337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001312766269 to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 PM and 7:38 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/135  (b) -5  (c) -0.2  (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 3\/245, 0 in descending order.\nAnswer: 0.5, 3\/245, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*r + 172 = -4*f, 22*r - 5*f + 49 = 26*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1385093.\nAnswer: 1385093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 191 + 5ab?\nAnswer: 76c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (5 + (-2 - 1) - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 698983420 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/5 - (-2)\/(-5). Let m be 60\/(-9)*30\/50. Let q = 3 - 3.2. Which is the nearest to -1?  (a) s  (b) q  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/3 + 79317998*o\/3 + 1572836201682001\/3.\nAnswer: (o + 39658999)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 178766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -4*p + 23. Suppose 10*o - 47 = 3. Let v be g(o). Solve v*t - t + 2 = 0, -5 = -4*q + 5*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12004 + -1?\nAnswer: 12003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -1d60a7a?\nAnswer: 1d60a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((104\/16 - 5)\/(-9))\/((-5)\/3)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10020111 + 212110?\nAnswer: 11002221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22 and 748?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19220*w**2 - 80*w - 61*w + 141*w.\nAnswer: -19220*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 - 12*d - 9. Let z(v) = 4*v + 14. Let n be z(-6). Let p be c(n). Does p = 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -33.547074609.\nAnswer: 33.547074609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 + -237?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h**4 - 31*h**2 - 3*h**2 - 7*h**2 + (-h + 3*h - h)*(h**3 + 3*h**3 - 2*h**3) + (0*h**3 - 6*h**3 + 2*h**3)*(-3*h + 4*h + 2*h).\nAnswer: -8*h**4 - 41*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + 61429?\nAnswer: 61428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1278\/1775)\/((-87)\/(-290)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/86, 1, 0.0646 in ascending order.\nAnswer: 1\/86, 0.0646, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 37696917 greater than 37696917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/6 + 70\/15. Suppose 0 = t*k - 5, -4*k = -q + 4*q + 23. Let n(o) = o**2 + 6*o + 1. What is the remainder when n(q) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 471*a*n**2 - 7*a*n + 58548*a + 3*n**2 + n wrt n.\nAnswer: 942*a*n - 7*a + 6*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (720\/(-810))\/(((-2)\/18)\/(-1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 AM and 7:51 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.33 + -7.43. Let o = r - -7. Let g = 1701 + -3403\/2. Which is the closest to o?  (a) -2\/11  (b) g  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2184*c*i**3 - 2*c + 5*i**3 + 201*i**2 - 4 wrt c.\nAnswer: -2184*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4308*d + 4331*d + 1012 = 0 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.5 + 5.5. Which is the closest to 1\/2?  (a) 0.4  (b) f  (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 42*i + 40*i - 84*i. Let w(h) = -52*h + 16703 - 8349 - 8354. Give w(b(k)).\nAnswer: 104*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 75 (base 15) to base 10\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14863248 and 720?\nAnswer: 74316240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -138*v**3 + 5*v**2 - 45*v - 8. Let f(i) = -139*i**3 + 6*i**2 - 44*i - 9. Let l(j) = -5*f(j) + 6*n(j). What is the second derivative of l(d) wrt d?\nAnswer: -798*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 943073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -94\/231 and 71\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 41097907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.871854444 to 3 decimal places.\nAnswer: 2.872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 137, 6, 3\/8, -0.3, 6\/37?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -38.8 and -74513.724.\nAnswer: -74552.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from {h: 16, c: 2}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2506)\/58 - 960\/(-4640).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000049271999 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.5191*0.5\nAnswer: 0.25955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of h**2 + 4*h - 1. Suppose -7*l + 123 = -48*l. What is w(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 + 4*i - 9. Let m be h(8). Let z = -26 - m. Suppose a = -4*a - z, o - 37 = -3*a. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -122.1 - 39.9. Let n = -191 - l. Which is the smallest value?  (a) 3\/2  (b) -2\/9  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccttctc. Give prob of sequence cctt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 616 >= 614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 88*k**2 + 185*k - 379. Let i be p(2). Solve 0 = l - i + 349 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 18 = -n + 2*x, 12 = 2*n - 2*x. Suppose -n*d - 34 = -154. Let p = -21 + d. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 5)\/(216\/324)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -2*y**5\/9 + 6424*y**4 - 635728*y**3\/9 - 173444*y**2\/9 + 597190*y\/3 + 1271468\/9 = 0.\nAnswer: -1, 2, 11, 28897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -10  (b) 0  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7793\/18151 + 2\/2593. Let k = -2.71 - -2.61. What is the closest to k in 5, 2, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 5*f - 10. Let s be d(10). Suppose -4*x + 5*q - 54 = -26, 2*x - 4*q = -20. Sort -3, 1, x, s in decreasing order.\nAnswer: s, 1, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of x**4\/12 - 14*x. Let p be i(1). Is 0 + 83 + 4 + -1*p a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3840 and 420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 69.76 - 672\nAnswer: -602.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, 2, -4 in decreasing order.\nAnswer: 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 3*s + 673 - 1853 = 0, -3*z - 5*s + 1772 = 0. Suppose -3*t - t - z = -4*y, -2*y + 274 = 4*t. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 183151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.57 + 114.57. Let w = -112.9949 + f. What is w rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**3 - 198*o**2 - 2331*o + 32856.\nAnswer: -3*(o - 8)*(o + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*a**3\/9 - 9542*a**2\/9 - 19090*a\/9 - 3182\/3 = 0. Calculate a.\nAnswer: -1, 4773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + 6441\/(-6))\/(-3 + -1 + 3). Is u smaller than 1074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**3\/9 + 11*g**2\/9 + 14*g\/9 - 8\/3 = 0. Calculate g.\nAnswer: -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h + 10. Let z be l(7). Suppose 0*d = d + z. Find the common denominator of 29\/8 and (162\/(-33))\/(-1 - d).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12484 and 7448?\nAnswer: 23245208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1636325 and 25?\nAnswer: 1636325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.1, -1\/216 in increasing order.\nAnswer: -5, -0.1, -1\/216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, 3, -78 in descending order.\nAnswer: 3, 2, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(572)\/(sqrt(33)\/sqrt(3)) - sqrt(208)*1)\/((6*sqrt(36) + sqrt(4))*6) + 0.\nAnswer: -sqrt(13)\/114 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1264 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 + 16*l**2 - 2*l - 9. Calculate j(-16).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -43114 + -4?\nAnswer: -43122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w*w**(-7)*w)**(4\/15))**(23\/3))**(-42) assuming w is positive.\nAnswer: w**(5152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 1458 = -j, 0 = -12*p + 9*p - 4*j + 1074. Is -0.04 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i + 42 - 24 = 0. Suppose h + i*c - 552 = 4*c, 5*h - 2766 = -c. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - -50?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2545 + -2174. Calculate the greatest common factor of u and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of 21*l**4\/4 + 22*l + 13. Find the first derivative of c(x) wrt x.\nAnswer: 63*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24 + -130. Let h = t - -106.3. Let i = -1.1 - -0.8. What is the third biggest value in h, i, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*j**3 - 1460*j**2 + 486*j.\nAnswer: 2*j*(j - 243)*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -532329 + -3?\nAnswer: -53232c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2b (base 15) to base 13.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 123 - c**2 - 7*c**2 + c**2 + 2*c**2 + 7*c**2 to the form t*c + v*c**2 + u and give u.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 15950 * -13.268\nAnswer: -211624.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 + 14*o + 1037. Let b be w(-26). Let n(z) = -18*z. Let a(d) = -18*d. Determine b*a(m) + 4*n(m).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.45259785 rounded to 2 decimal places?\nAnswer: 2.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*g**4 + 61*g**3 + g**2 - 18.\nAnswer: 48*g + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/3195 and 9\/3905?\nAnswer: 35145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 15.195019*0.08\nAnswer: 1.21560152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -669968, -2679660, -6029146, -10718426, -16747500, -24116368, -32825030?\nAnswer: -42873486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 132, -70, -406, -876, -1480?\nAnswer: -2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 65*b + 1. Let p(j) = j**3 - 7*j**2 + 6*j + 2. Let v be p(6). Is x(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r + 3*r + 2*r)*((-7 + 5 - 5)*(r**2 - 6*r**2 + 3*r**2) + r + 2*r**2 - r).\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = -3*i - 6, -7*l + 2*l + 11 = -2*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, -25, 4 in increasing order.\nAnswer: -25, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v - v - 3*v)*(-5*v**2 + 2*v**2 - v**2) + (47 - 2*v**2 + 3*v**2 + 139)*(-6*v + 3*v + 0*v).\nAnswer: 13*v**3 - 558*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 1*(-2 + sqrt(15)\/sqrt(3) - sqrt(5))*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18 - 2) + 7 + -16 + -5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 + 4*c**2 - 3*c + 2. Let s be j(3). Let a(d) = -d**3 + d**2 - 8*d + 7. Let x be a(s). Let z(n) = -n - 13. Determine z(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-23)\/15 - (-53)\/265.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 11:30 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n + 11 - 2 - 11. Determine d(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 121*f**2 - 26*f + 127. Is y(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 462749 + -329477225\/712. Calculate the common denominator of d and 67\/8.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -24 + -200. Let j = s - -433. Let x be 17 + (1 + 0)\/(23\/46). Calculate the highest common factor of x and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 5*f = 15, 3*v + 3*f + 9 = -0*v. Let p be 2 + v + 1 + 0. Suppose p*s**2 - s**2 + 12*s + 5*s**2 - 3*s**2 = 0. Calculate s.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 - 7*v - 38. Let a be d(11). Suppose -304 = a*c - 7*c. Calculate the greatest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 18*a - 51. Let w be l(3). Suppose -w*j + 6*j - 169 = -4*g, -5*j = -4*g + 145. What is the lowest common multiple of g and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 559 is divided by 151?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 633\/5 + -127. Let q = 160 + -160. Is f less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 h, 1 r, and 1 g when four letters picked without replacement from {r: 1, o: 1, g: 1, h: 3, t: 6}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 39219548 or 39219550?\nAnswer: 39219548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -542 (base 14) in base 7?\nAnswer: -3012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-12))\/(2\/32)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 592960 - 1?\nAnswer: 59295e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65519.\nAnswer: 65519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 14311 (base 9) in base 8?\nAnswer: 23002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 26039384 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 1 = -4. Let m = -40 + 43. Let h(p) = m*p - 1 - 4*p + 2 - 6. What is h(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-6*(-2 + sqrt(17)) - (sqrt(612) + 1 + sqrt(612))) + -4 + -2*(sqrt(17) + sqrt(68)\/sqrt(4) + 1))*-3)**2.\nAnswer: -1980*sqrt(17) + 74277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 4*p - 5*p = 0. Let v(y) = y + 82. List the prime factors of v(p).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -139, -570, -1289, -2296, -3591?\nAnswer: -5174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 7, w: 3}. Give prob of sequence zw.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -91, -1 in decreasing order.\nAnswer: -1, -2, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 5*m + 17, -v - m - 1 = -0. Suppose 3*i - b - 14 = 0, 0*b + 3*b = -v*i + 18. Solve 2*r - i*k = 26, r - 24 = 5*k - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37383 divided by -5.\nAnswer: -37383\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/6)\/(((-40)\/(-96))\/((-7)\/21)*1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8094)\/(-37772))\/((9\/35)\/(-1))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (1 - 0) - (2 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 263*i = 276*i + 117 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 91*m - 11. Let v(c) = 5*c**2. Give v(k(y)).\nAnswer: 41405*y**2 - 10010*y + 605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, 1\/6, -368\/701, 1\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 + (54\/(-8))\/(-3). Let f be (-8)\/(-12 - -4)*1. Let y = 0.8 + 5.2. Which is the nearest to f?  (a) n  (b) y  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -633*d - 628*d + 1864*d - 621*d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 3*x + 0*x - 78 = 0, -c = -4*x - 1. What is the remainder when 59 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22 - -10. Let r be -4*(h\/8 + 2). Which is the smallest value?  (a) -5  (b) 2  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 309150, 309175, 309206, 309237, 309262, 309275, 309270, 309241?\n\"Answer: -q**3 + 9*q**2 + 5*q + 309137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -141*x - 5*x + 52*x - 2041 = 63*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d**3 + 3*d**3 + 3*d**3)*(147 - 50 - 67).\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 4*x - 1. Let w(n) = 5*n - 1. Let c(r) = -w(r) + z(r). Let o(j) = -48*j. Calculate c(o(u)).\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of 3*p**4\/4 - 5*p**3\/3 + p**2\/2 + 23*p + 8. What is the second derivative of b(m) wrt m?\nAnswer: 18*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 + -11. What is the remainder when 23 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 3 - 2*g - 3 + g**3 + 3*g. Let h(w) = -4*w**3 - 10*w. Let a be (7 - 2)*6\/15. Let s(l) = a*h(l) + 12*n(l). What is the second derivative of s(r) wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-3 + 1) + 21. Suppose 5*j - h - 25 = 0. What is the remainder when 16 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 PM and 3:19 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 12 = 2*g. Let b be (-7 + 0)\/(g\/6). Is 5 a factor of (2\/1 + -9)*(b + -15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1088585413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -3*q**3. Let j(i) = 2*i**3 - 2*i**2 - 4*i + 3. Let f be j(2). Let d(h) = h**f - 177*h + 177*h + 0*h**3. What is -a(y) - 2*d(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11\/8 - 1\/8. Let u = -5.08 - -0.08. Put u, q, -2\/3 in descending order.\nAnswer: -2\/3, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = m + 2*z, -m = 3*m - 3*z + 75. Let v = 54 + m. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 305993195 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-276)\/66 + 13\/11 + -1. Let l(y) be the third derivative of -y**4\/12 + y**3\/6 - y**2. Is 3 a factor of l(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -114582, 0, -5 in increasing order.\nAnswer: -114582, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3654*v + 3556*v - 1666 = 0 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 593*d + 32 = 577*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -631*x**5 + 1002*x**2.\nAnswer: -37860*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 AM and 1:44 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((36\/(-8))\/(-9))\/(10\/16). Factor -2\/5*v**4 + 2\/5 - 4\/5*v**3 + n*v + 0*v**2.\nAnswer: -2*(v - 1)*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 329942*j**3*r**3 + 2*j**3*r**2 + 5*j**3*r + 4*j**3 + j**2*r - 7*j*r + 47 wrt r?\nAnswer: 1979652*j**3*r + 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 307.2\nAnswer: 122.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/9, 5, 2\/17, -38\/81, -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 13, 266853 in decreasing order.\nAnswer: 266853, 13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 4 + z - 2 - 1 + 13. Let f be i(-13). Let o be (-12)\/(-24)*(1 + f). Is o greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13.35 + 15. Let p = -9.95 + d. Round p to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 10 = 5*q, -3*n - 280 + 288 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9.27738 - 14.277632. Let d = 5 + k. Round d to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a96012 - -17?\nAnswer: -a95aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -9*j + 9. Suppose -c + 1 = 3*l - 18, -2*c = 2*l - 18. Let h(o) be the second derivative of 5*o**3\/6 - 5*o**2\/2 + 8*o. Determine l*h(n) + 3*d(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**2 - 4*r**2 + r**2)*((-r + 2*r + r)*(r + 0*r - 2*r) + 1 - 1 + r**2 + 29*r**2 + 33*r**2 - 85*r**2).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + m + 1, 3*a - 3 = 4*m - 6. Let t be (1 + -1)\/(0 - a). What is the remainder when 4\/((-6)\/(-21) + t) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1443 + -2840. Let c = -358 - k. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 - 8*y**2 + 12*y - 16. Let k be t(7). Is k < 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - -1. Suppose -42 = -z*m - m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5065931l in millilitres?\nAnswer: 506.5931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*2\/4)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 123*r + 133*r**2 + 184*r**2 + 128*r wrt r.\nAnswer: 634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.0368mg to grams.\nAnswer: 0.0040368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 + 1 - 21 - 10*b**2.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/4)\/(141975\/7572)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 7, r: 2, b: 3}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/12*-2*(-108)\/30?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 116 + -74. Suppose -3*u - x = -513. List the prime factors of u.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 394 - 200 - 194 - 3*s + 2*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -7*s - 37. Let j(m) = 10*m + 55. Let k(z) = -7*d(z) - 5*j(z). Let h be k(-14). Is 5\/(-10) - h\/(12\/6249) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(54\/(-48) + (-12)\/(-32)). Let d = 4 - 7. Put d, i, 0.04 in increasing order.\nAnswer: d, 0.04, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 420 = 122*a - 190. Solve a*x - 7*x + 5 = p, -5*x + 5*p = 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 - -16. Let k(q) = -2*q - 34. Let z be k(-18). Let d(l) = 22*l**z - x*l**2 - 8*l**2. Let b(n) = -3*n**2. Calculate d(b(t)).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -7*x**3 - 7*x**3 + 2*x**2 + 2*x + 0*x**3 - 4 + 16*x**3. Calculate j(-3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 70122411?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-4))\/((-1)\/(-6)). Let s(l) = -l**2 - 3*l + 2. Let p be s(v). Suppose -p*j = j - 159. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + a = 6. Suppose a = -0*o - 3*o. Suppose -3*t - 8 = 7. Sort 1, t, o in decreasing order.\nAnswer: 1, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + -3. Suppose -p*f = 9, -6*a - 3*f = -a - 116. Solve -s - 4*s - a = -3*z, -4*z - 10 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 2*v + 3199 = 10595, -4*g = -4*v - 29608. List the prime factors of g.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -27*h**2. Suppose 0 = 4*v + 4*o - o - 3, 2*v = o - 1. Let g = v + 2. Let m(j) = -3*j**g - 7*j**2 + 9*j**2. Calculate m(w(r)).\nAnswer: -729*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -137.792347 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -126*j - 10464. What is a(-83)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2*1\/2 - -66 is divided by (-7)\/(2\/(-4)*1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -26*c + 574. Let r be z(22). Let h = -4323 - -21842\/5. Let t = 45 - h. What is the second biggest value in t, r, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 5*b = 15, -b + 2*b + 8 = 4*u. Let m(z) = 1 - 3*z**2 + 2*z - 4*z + 0*z**2 + 4*z**2. Let k be m(u). Solve 4 = 2*d - k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (25\/(-8))\/(4\/16)*2\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 478.0846 to zero dps.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -5*h - 6*u + 45, 0 = -h + u + 2. Let q be ((-4)\/(-6))\/((-38)\/(-180) - 32\/320). Which is greater: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8905 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 659*m + m**3 - 326*m - 5 + 0*m**3 - 272*m - 23*m**2. What is the remainder when 46 is divided by u(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6\/23?  (a) 0.28  (b) -3\/5  (c) 3  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 y when three letters picked without replacement from {y: 2, r: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/21)\/((-6)\/(-42))*6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*l - 14 + 14.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 + 11*h**2 - 5*h + 4. Determine x(10).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2414, -258, 7, 4, -5, 5, -1 in decreasing order.\nAnswer: 2414, 7, 5, 4, -1, -5, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.1315 and -278.\nAnswer: 592.557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2075265 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -103.3 - -109. Let t = n - 6. Let o = -1373\/3 - -457. What is the closest to 2\/9 in t, o, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**9*(x**(-3\/5)\/x)\/x*x)\/(x**17*x**(-2\/27)))**(-42) assuming x is positive.\nAnswer: x**(18004\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 PM and 10:35 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3\/(-9))\/(8\/6). What is the third biggest value in 2, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -319 + 322. Let h be ((-45)\/(-5) - 7)\/(3\/j). Which is bigger: 3 or h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 7*s**2 - 2*s - 2. Let n(c) be the second derivative of 3*c**4 - 11*c**3\/6 - 11*c**2\/2 + 20*c. What is 2*n(i) - 11*t(i)?\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.027?  (a) 12\/11  (b) 1\/9  (c) -3\/7  (d) 17.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.8231 and -18.778.\nAnswer: 53.0121718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - 2 + 7. Let t be (-5*(-3)\/(-3))\/x. Let d(r) = r**3 - 6*r**2 + 6*r - 3. What is d(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 61*o. Let q(s) = 26401*s + 47. What is q(j(z))?\nAnswer: 1610461*z + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.4 - -0.05?\nAnswer: -2.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -289673.5 rounded to the nearest one thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -71, -432, -4, 2\/17 in increasing order.\nAnswer: -432, -71, -4, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7903564267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 2*x + 566, -4*x = -2*v - 3*x + 1107. Let l = v - 165. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.0609 in 2\/17, 1\/4, 10, -1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*s - 71. Let f be (-12)\/s - (-9)\/15. Suppose f*t - 206 = -t. What are the prime factors of t?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*y**2 + 750*y**6 - y**4 + 697*y + y**4 - 2*y**2 + 166*y**6 wrt y.\nAnswer: 109920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + x = 20, -5*z + 0*x = -4*x - 45. Suppose 373*o = 374*o - 1. Which is the closest to -0.1?  (a) z  (b) -5\/3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.105 - 0.056. Let w = o - -1.951. Let s = -0.44 - -0.74. Which is the nearest to s?  (a) -2  (b) 1.2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 + 3 - (-46)\/(-84). Let n = -1\/21 - w. Let p(l) = -l**3 + 4*l**2 - 3*l. Let q be p(3). Sort -1, q, n.\nAnswer: -1, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 + 11*z**2 + 11*z + 13. Let l be f(-10). Suppose -4*j = -3*k + 24, 2*k - 19 = -l*j + 14. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 987\/(-126) - (-8 + 1)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2668 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, -4, -17, -44, -91, -164?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 - 29*a**2 - 25*a + 89. Let m be v(-28). Suppose 7*q + 5*k = m*q - 13, 2*q + 4 = -2*k. Let j(h) = -6*h**2 - h + 1. Determine j(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 + 4*m**2 - 2*m - 6. Let g be (-190)\/(-45) - (-8)\/(-36). Suppose t - 1 = -g. List the prime factors of v(t).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 4\/5, -1, -0.2 in ascending order.\nAnswer: -1, -0.2, 0.5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -19 + 0 - 0 - -1. Let a(k) = 5*k + 21. Let o(p) = p + 5. Let g(y) = v*o(y) + 4*a(y). Let l be g(5). Solve -1 = -l*f + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 823 + -823.5. Suppose 15 = w + 4*p, w - 4*p = -6 - 11. Which is the smallest value?  (a) w  (b) -0.3  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1892\/(-66220) + (-2)\/(-170).\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 7287 = 3*n, 770 - 12921 = -5*s + 2*n. Suppose -14*o + s = 3*o. Calculate the highest common divisor of 22 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 318 * -0.28.\nAnswer: -89.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2242 - -2239. Suppose -4*f = -6 - 6. Is f equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4421\/2090 + 717\/418. Let k be 1\/1*2\/5. What is the third biggest value in 2\/35, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0  (b) 4\/7  (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3841 - -3840.5. What is the closest to -1\/14 in 0.3, -3, f, -3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p - 21. Let g be y(7). What is the units digit of (-7)\/g + 45 + -2 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/31456512 and -113\/1747584.\nAnswer: 31456512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -2*v**5 + 742*v**4 - 91512*v**3 + 3720992*v**2 + 3813248*v = 0.\nAnswer: -1, 0, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 e when three letters picked without replacement from {x: 16, e: 1, z: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 y, and 1 k when three letters picked without replacement from acccccpyaekackk.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 6 - 7. Suppose -n + 4*a = -315, 0 = -a - 2 - t. Suppose -n = -3*b - 117. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68215 = -2676*k + 2671*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 313 = 3*w - 266. Let b = 280 - w. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*f + 142*o - 72*o + 309 = 68*o, 0 = -3*f - 3*o - o + 113 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.2 + -2.75. Let i = 0.05 - q. Which is the smallest value?  (a) 5  (b) i  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**2 + 4*k - 1. Let j(y) = y**2 - y + 1. Let d(u) = g(u) - 2*j(u). Let m(c) = -c**3 - 5*c**2 + 12*c - 8. Let l be m(-7). Determine d(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -20.76 to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 17186559073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42, 4, 2 in descending order.\nAnswer: 42, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 11221 (base 8) in base 3?\nAnswer: 20112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/2, -199, 0, 0.4, -3\/8, 10, 0.066?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 4*q - 45 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 214497 (base 12) in base 4?\nAnswer: 2000122303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -387.1 * 0.12\nAnswer: -46.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.26409 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/(n*n**(1\/5)\/n)*n**(-1\/54)*n\/((n**(-8)*n)\/n*n)*n**(4\/19)*n assuming n is positive.\nAnswer: n**(51259\/5130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 67 and 16281?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46929?\nAnswer: 3, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.1419 - 0.1581. Put -14\/9, g, 0.5, 0.2 in decreasing order.\nAnswer: 0.5, 0.2, g, -14\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -784*o**6 + 2*o**4 + 1155*o**2 wrt o.\nAnswer: -94080*o**3 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ninety-three quarters of a litre in millilitres?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 3*j**2 - 107421*j - 19432980 = 0.\nAnswer: -180, 35987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 126448812 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2\/7 - 94*f\/7.\nAnswer: -2*f*(f + 47)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*i - 20592 = 7*i. What is the least common multiple of 2\/9 - i\/351 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, k: 4}. What is prob of sequence khk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = 5*w + 5, 104*w - 107*w = -c + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 986 - 614. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4.5, 2\/11, 4, -2, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-23)\/(-7) - (-4)\/(-14). Suppose 0 = -5*o + 6 - 16. Let c = o + 34. Solve 3*b + 7*s - 2*s = c, -3*s = z*b - 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s - 3. Let r(q) = q - 4. Let y(v) = -3*r(v) + 4*z(v). Suppose -3*k = -4*k. Let j be y(k). Solve -5*g - 2*h = j, 0 = h + h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 5*j - 135 = 0, 5*j - 59 = -2*l - 14. What is the greatest common divisor of l and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o**3 - 4*o**3 + 3*o**3)*(-4 - 2 + 7 + (-2 - 4 + 4)*(-2 + 5 - 2))*(-11 + 11 + 4*o).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 22599*u**2. Let o(j) = -17799*j**2 + 6 - 6 + 17798*j**2. Determine o(v(f)).\nAnswer: -510714801*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2683, 4675, 6665, 8653?\n\"Answer: -n**2 + 1995*n + 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3775 is divided by 941?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve z = -152*i + 154*i + 8, -2*i - 12 = z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*w, 5*r + 4*w + 14 = 31. Solve -2*l - 4*i = 6, r*l = -0*i + i - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -14*l + 461. Let u be q(32). Solve -u*w - w = -70 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2 - 2*o - 2 - 3. Let p(u) = u + 4. Suppose -j = -8 + 6. Suppose 0 = j*q - 35 + 13. Give q*p(n) + 6*f(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of l**4\/12 + 5*l**3\/6 + 9*l**2\/2 + 20*l. Let y be c(-4). Sort -2, 1, y, 0.\nAnswer: -2, 0, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/t**(2\/11)))**2*((t*t\/t**(-2\/3))\/t)**(-49))**(-43) assuming t is positive.\nAnswer: t**(115369\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -62\/251 + 32603\/9036. Let c = -107935\/54 + 63881\/6. Let s = c - 8649. Find the common denominator of b and s.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 176\/7 - 25. Let u(t) be the second derivative of -3*t + 1\/105*t**6 - 1\/21*t**4 - 1\/35*t**5 + 1\/147*t**7 + g*t**2 + 1\/21*t**3 + 0. Factor u(j).\nAnswer: 2*(j - 1)**2*(j + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ywi when three letters picked without replacement from yiyyywwwwywwyw?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -84 + 81. Suppose -2 = -4*g + 4*d - 10, 2*g + 8 = 4*d. Sort j, 1\/4, 3, g in descending order.\nAnswer: 3, 1\/4, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 - -3560286\nAnswer: 3560270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -6 - 2. Suppose 3*i = 5*i - h. What is the third derivative of s**2 - 4*s**6 - s**4 + s**i + 4*s**2 wrt s?\nAnswer: -480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2646*p - 33 - 5298*p + 2656*p + 6.\nAnswer: 4*p - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1 and 2938167721043.\nAnswer: 2938167721042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -2.4  (b) -5  (c) 257.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 295979703 divided by -98659901?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -182 divided by -7\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**4 + 66494*z**3 - 132980*z**2.\nAnswer: -2*z**2*(z - 33245)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 11, b: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dcdd when four letters picked without replacement from cdcccdcccdccdcccdc?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26 - -27. Is x smaller than -2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2572\/40 - (-54)\/(-180). Suppose 6*a**4 + 473*a**2 + g - 203\/2*a**3 - 368*a = 0. Calculate a.\nAnswer: 1\/4, 2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -21, -2\/21, 1, -4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1410.27 + 1409.87. Suppose 0 = y + 2*y - 24. Suppose 2*m + y = -0. Sort 0, 1, v, m in descending order.\nAnswer: 1, 0, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -88*p + 622. Let z be q(7). What is the greatest common factor of z and 7746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -304 - -348. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2834139.00135 + -2834078. Let a = 78 + -17. Let q = c - a. Round q to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + 1. Suppose i*b = 4*b + 6. Suppose 0*d - 2*j = d - 9, d + b*j = 12. Solve d*o = -3*a + 4*o - 4, 2*a - 3*o - 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -32, -47?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/(-9*(-1)\/3). Suppose r = w + 4*w - 85. What is the remainder when 29 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, 4, -6, -3 in decreasing order.\nAnswer: 5, 4, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 116*i - 2*i**4 - 117*i - 4*i**2 + 0*i**2 + 0*i**2 to j*i**4 + w*i**2 + a*i + l + b*i**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 5 - 10 = 0. Suppose a*h - 2 = 43. What is the remainder when h is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*0.426.\nAnswer: -0.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2415*k**5 - 7244*k**2 - 2 wrt k.\nAnswer: 144900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/11, -5, 0.09, 51, -17\/2, -4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zkzkslklllsk. What is prob of sequence zkl?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2421*u*z - 2*u + 3165 with respect to z.\nAnswer: 2421*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 80281 + -5?\nAnswer: 80277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 AM and 2:47 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*c*k*u + 990*c*k - 2*c*u - 357*k*u + k - u with respect to u.\nAnswer: 2*c*k - 2*c - 357*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (13*l + 35*l - 15*l)*(2*l + 0 + 0)*(-1 + 1 - 1)*(3 + 9*l - 3) as i*l + q*l**3 + o + m*l**2 and give q.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = 20*v + 73, 39*y + 2*v = 39*y + 1 - 9 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1060 - -3010. Let c = 19529\/10 - x. Calculate the common denominator of c and -56\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (108 - 1231\/14) + (-3)\/42\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2672 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/7)\/(((-6)\/(-84))\/(-1)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -6*i - 89. Let s be l(-14). Sort 37, s, -1, 2 in increasing order.\nAnswer: s, -1, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 5*y. Let h(r) = -3185*r. Determine h(m(s)).\nAnswer: -15925*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 88?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.1  (b) -3\/100  (c) -1640\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(((k**(-9)*k)\/k)\/k)*k)**(2\/21) assuming k is positive.\nAnswer: k**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of h**5\/15 - 17*h**2\/2 + 13*h. Let y(g) be the first derivative of v(g). Let o(p) = 4*p**2. Determine y(o(d)).\nAnswer: 64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17374 divided by 14.\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3271 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 9189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1077 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 149743941 to the power of 1\/2, to the nearest integer?\nAnswer: 12237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141456.\nAnswer: 2, 3, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4306244722 to 4 dps.\nAnswer: 0.4306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -183*r + 394*r + 1719 + 180 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, l: 2, f: 3, o: 3, w: 5}. What is prob of sequence uwu?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 50\/(-88) - 18\/99\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/6 + 78\/(-12). Let x(r) = -2*r**3 - 7*r**2 + 8*r. Let m be x(c). What is the greatest common factor of m and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 161 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1)\/9)\/((-224)\/(-252)). Which is the fourth smallest value?  (a) 4  (b) l  (c) 0.4  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -35*h*k**3 + 9*h*k**2*l**3 - 21*h*k**2 - 45*h*k*l**3 - h*k*l**2 - 57393*k**3*l**3 + 58*k**3 - k**2*l**2 - 17*k*l**3 wrt k.\nAnswer: -210*h - 344358*l**3 + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -d**3 - 2421*d**2 + 102*d + 1914816 wrt d.\nAnswer: -3*d**2 - 4842*d + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:34 AM and 8:16 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 283 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 4*u = 6*u - 257, -3*f + 753 = -3*u. What are the prime factors of f?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1225\/13, 0.5, 2, 3 in ascending order.\nAnswer: 0.5, 2, 3, 1225\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -4*t - 4 - 2 + 0. Suppose 6 = y - 0*y. Let p = -6 - -11. Let i(h) = 3*h + 5. What is p*j(o) + y*i(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/6)\/x)**(2\/7)\/(x**(2\/5)*x**10) assuming x is positive.\nAnswer: x**(-1117\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -193534.2 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(2) + 1 - 4*(sqrt(2) + -1).\nAnswer: -2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 522 + -510. Calculate the remainder when b is divided by 24*5*4\/40.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 5, 1\/8, -3\/5, -1\/6, -16?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -17*z - 36. Let v(t) = 65*t + 138. Let b(u) = 23*s(u) + 6*v(u). Let j(o) = 23*o - 2. Determine -b(n) - j(n).\nAnswer: -22*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, s: 2, h: 1}. Give prob of sequence ol.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24 - 25. Let n be (-701)\/(-3) - (-5)\/15 - r. Is n\/(-20)*(1 - 29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2 - 21*x - 72. Give p(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15974257, 15974260, 15974263, 15974266?\nAnswer: 15974269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 8*p + 2*q - 42, -3*p - 4*q - 26 = 0. Let b = 36 + p. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 6*r - 31. Let g be h(4). Let o(a) = -9*a**3 + 21*a**2 + 2. Let y(f) = 5*f**3 - 11*f**2 - 1. Determine g*y(b) - 4*o(b).\nAnswer: b**3 - 7*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2929000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -865067*o - 67. Let j be s(-1). What is j rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2029598 is divided by 2834.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34471 + 34522 - 69093 - w to the form b + o*w and give b.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*d*m*v**2 - 3*d*m + 1558*d*v**2 + 11*m*v**2 with respect to m.\nAnswer: 4*d*v**2 - 3*d + 11*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-567)\/70)\/9)\/((696\/(-1595))\/(-4)).\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 + -1 - (-1)\/(3 + -2). Suppose g*j + 4*k - 28 = 0, 2*j + k - 5 = 5. Suppose -5*i + 1781 = b - 0*b, 5*i - 5383 = -j*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -13323364, -13323366, -13323368, -13323370, -13323372, -13323374?\n\"Answer: -2*l - 13323362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -32*z + 552. Give o(18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 + 3 + -2 + 2. Solve b*x = -1 - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 0.22, 1\/4, -0.1 in increasing order.\nAnswer: -0.1, 0.22, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 744 + -518. Suppose 2*a - 88 = -4*y, -4*a + f - 59 = 5*y. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4 or 703?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 410 and 328.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*t - 21 = -38*t - 5*x, -x + 1 = -4*t. Put 3, t, -0.3 in decreasing order.\nAnswer: 3, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (3 + -3) - 1 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(21\/((-3234)\/(-28))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10.3 + 10. Which is the third biggest value?  (a) x  (b) 3  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19272022052100 - 3\nAnswer: 19272022052097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 128187 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: Round 22888107 to the nearest ten thousand.\nAnswer: 22890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**2 + 3*b**2 + 2*b**2 + (2*b - 2*b - 3*b)*(7*b - 3*b - 2*b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -21*x**2 + 11*x - 5. Let t be 30\/7 + (-8)\/28. Let n(w) = -1 - t*w**2 + 0*w + 0*w + 2*w. Let g be 3 - (2 + 2 + -3). Determine g*u(k) - 11*n(k).\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -9*h**3 - h**2 - 7*h + 142. Is 6 a factor of p(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 3*r - 6 = 0, 0 = 5*u + 3*r + 7 - 1. Which is smaller: 3\/17 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.4 + 2. Let p(q) = -q**2 + 6*q - 2. Let j be p(5). Let x = 15.9 + -16. Which is the closest to x?  (a) 2\/5  (b) v  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + 5. Let g = 14 + -15. Let m = u + g. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2232522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 67974 + -1223123\/18. Let t = p + -45\/2. Sort t, 5, -0.3 in ascending order.\nAnswer: -0.3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -3  (c) 2\/11  (d) -2638  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/381117 and -23\/330?\nAnswer: 3811170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 4:15 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.604 - 4.604. What is the second biggest value in -2\/17, o, 18?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 436118284 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 180837254?\nAnswer: 2, 13, 433, 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w**2 - w**2 - 7*w**2 + 2*w**2 - 5 + 5 + (0*w + 2*w - 3*w)*(-w - 2*w + 0*w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2598 is divided by 2598?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/(-10))\/(9\/(-18)). What is the closest to m in 4, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -5729*h**2 - 399*h + 2428. Let q be f(6). Round q to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 165 = -7*c + 37*c + 15. Solve 5*q + 3*u = -25, -4*q - 2*u - c - 15 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 204003 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 - (1 - 1)\/(-4). Solve 5*r = 3*i + o*r - 3, 2*i - 5 = 5*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-222)\/37)\/((-6)\/(-9)) - 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 + 21*k**2 + k - 20. Let w be g(21). Put -7, -5, -2, w in descending order.\nAnswer: w, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 98084 and 19494195?\nAnswer: 77976780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2847, 2219, 1167, -315, -2233, -4593, -7401?\n\"Answer: -c**3 - 206*c**2 - 3*c + 3057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6296, 6190, 6116, 6092, 6136, 6266, 6500?\nAnswer: 6856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 - 14*d**2 - 13*d + 2. Let h be u(-13). Solve r - 4 - h = -3*j, -5*r = -15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -549 + -1366. Let u = j + 21033\/11. Find the common denominator of u and (4\/(-32))\/((-2)\/194).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - -3 - 3) + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 18\/7 or -2\/123509?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k**3\/2 + 23919*k**2 + 9394065*k\/2 - 4720950 = 0.\nAnswer: -195, 1, 16140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 - -5. Let h be 26\/(-6) + (-5)\/(-15). Let l be 4\/24 - (-2)\/h. Which is the second biggest value?  (a) 1\/3  (b) p  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 10 - (-26 - -38).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 - r**2 - 2*r + 11. Let x(k) = k**2 - 22*k - 23. Let z be x(23). Is w(z) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*p**5 + 1635*p**4 + 37450*p**3 - 318600*p**2 + 669280*p - 389760 = 0. What is p?\nAnswer: -28, 1, 2, 4, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*3*(-16)\/6. Let p(s) = 13 - s - 3*s - 3 + 3*s. Let a be p(c). Solve -a = 2*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 + 4*h - 6. Let m be q(-6). Let u(g) = g + 1. Let k(f) = -f + 1. Let y(n) = -12*n - 3. Let o(j) = -5*k(j) + y(j). Calculate m*u(a) + o(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 12342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1079*w**3*z**3 + 43*w**3 + 15*w**2 - 89*w*z**2 + 1 wrt z?\nAnswer: 3237*w**3*z**2 - 178*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 3*x**2\/7 - 624*x + 103104\/7 = 0.\nAnswer: 24, 1432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*n**4 - 2054*n**3 - 2934*n**2 wrt n?\nAnswer: -168*n - 12324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - 13*b**2 - 2*b. Let v be t(14). What is the highest common divisor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 886?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -59 at most as big as -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.164 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-8)\/7*14\/(-4). Let d = b + 4. Solve -4*i + 4 = -4*s - 0*i, 2*i = d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 348*u - 5*u**2 - 346*u + 1532*u**4 - 1531*u**4 + 1 - 36*u**3 as r*u**2 + f*u + v + s*u**4 + d*u**3 and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 3 q when four letters picked without replacement from xxqxqxxxqqxqqqixqqxx?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 15022064 (base 7) to base 8\nAnswer: 5320152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 7)*(10*o**4 - 223*o**3 + 223*o**3 + o).\nAnswer: -30*o**4 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 622530582 to the power of 1\/3, to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 64*f = -66*f - 12523, -q + 2500 = -5*f. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 + 14. Suppose y + y = i. Are y and 9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -65 + 99. Calculate the greatest common factor of 85 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*((-30)\/21 - -1). Let h = -24 + 26. Which is the second smallest value?  (a) l  (b) h  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 - 11*f**2 + 54. Let m be r(-12). Suppose 282*n + m = 285*n. Which is bigger: 64 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of -f**5\/20 + 7*f**4\/12 + 15*f. Find the third derivative of v(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(28) + 0) + -5.\nAnswer: -8*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -257 + 256.8. Which is the nearest to g?  (a) 4  (b) -1\/2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 11:08 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -3*t**2 + 26937867*t + 26937870 = 0.\nAnswer: -1, 8979290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -135 + 722*n - 720*n + 135.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13718239 is divided by 163.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 1 + (3 - 6 + 1)*(-5 + 6 - 2) - 1 + 0 + 2)*(2*d**2 - 3*d**2 + 3*d**2).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 41*g + 24*g + 4)*(0 + 0 + 2*g).\nAnswer: 130*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**0)**(2\/33)*i**1\/i*i**3\/i*i)**38 assuming i is positive.\nAnswer: i**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 4492 divide 2739009828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20525 + 923698\/45. Find the common denominator of n and -97\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-20)\/4800*-20*12)\/9.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 361 + -32?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 722065951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -3*f**2 + 680*f - 12406. Calculate k(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2309 by -525.\nAnswer: 2309\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 g, and 1 n when three letters picked without replacement from gwnvvvvwvvg.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 299558 + 133162. Suppose -2*j - 37820 = s. Round j to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 - -1727.26.\nAnswer: 1724.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 83856 divided by -3178\nAnswer: -41928\/1589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 23*12\/230*(2 - (-13)\/(-6))?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23011b (base 13) in base 6?\nAnswer: -25431250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11573, -1554, -14681, -27808, -40935?\nAnswer: -54062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 6*c - c - 244, -3*p - 12 = 0. 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 194714 is divided by 5247.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**2 + k**2 + 2*k**2 + (0*k + 0*k - 4*k)*(1 + k - 1) + 5*k**2 - 4*k**2 + 2*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 3*u = -12, 4*w - 2*u = 2*u - 16. Suppose 4*r - 3*l + 5*l = 48, -3*r + 2*l + 43 = w. Solve -r = -4*b + 5*p, 0 = -b - 2*p + 7 - 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 645 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 - -5. Let p(z) = -z**2 - 10*z - 11. Let r(f) = -2*f**2 - 21*f - 24. Let y(h) = -7*p(h) + 3*r(h). Determine y(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - 2*m**2 - m**2 - 2*m**2 + 4*m**2 + (m + 3*m - 3*m)*(0 - m + 0) + 6*m**2 - 2*m**2 - 2*m**2 - 115*m**2 + 28*m**2 + 36*m**2.\nAnswer: -51*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1601 + 2)\/(-39) - (0 + -14)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 - ((-19712)\/2814 + -2 + 6). Let r = -65\/402 - y. Which is the second smallest value?  (a) 1\/11  (b) 1\/4  (c) r  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1083*r - 10546 - 81733 - 15447 = 683*r for r.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -90 - 1390. Let n be 3 + b\/6 - 3\/9. Let r = n + 354. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -37*i. Let d be y(1). Let c(m) = -9*m - 108. Let x be c(-16). Let v = x + d. What is the biggest value in v, 0.11, 0.1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -326769, -326771, -326773, -326775?\n\"Answer: -2*w - 326767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -4 + (9 - 2) + -1 + 0. Suppose a - 5 = -v. What is the second derivative of -577*z**a + 577*z**3 - 2*z**5 + 13*z wrt z?\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, 0.5, -0.02, -7, 6, -0.2137, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(6\/31)*q\/(q\/(q*(q*q**(-4))\/q*q))*(q**38*q)\/q*q\/(q**33*q)*q)**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 625169?\nAnswer: 625169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5288748 is divided by 2490?\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (-4 + 3 - -12)*(17 - (-1 + 19)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13*q**3 - 1897*q - 26462.\nAnswer: 39*q**2 - 1897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -11 + 2 - -21\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*x - 26. Suppose x = h - 1. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -24*o**2 + 439*o + 3569. Give m(-7).\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/d**(2\/11))**49\/(d*d*d**(3\/2)*d)**(-5\/11) assuming d is positive.\nAnswer: d**(2005\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + ((-9 - -20) + -5 - -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -2*c + 2, -c = -2*t + 6*t - 12. Suppose 0 = -5*m + 10, -t*l + 5*m + 1385 = l. List the prime factors of l.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1219495 a multiple of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 + 1. Let m(f) = -f**2 - 8*f - 1. Let g be m(-8). Let x(t) = 357*t**2 + 6*t - 4. Let a(j) = g*s(j) + x(j). Is a(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -255859 less than 0.2?\nAnswer: 255859.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 43*r + 57*r + 63*r - 211*r + 62*r.\nAnswer: 14*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48\/6*(22243\/52)\/59.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.4 - -0.6. Suppose -4*u - 2*q = -2, -5*u + 4*q = -u - 20. Suppose -2*b = -4*b + u. Sort b, z, -1\/4 in ascending order.\nAnswer: -1\/4, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(8\/24*30)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34456 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 11dcdb + -2c?\nAnswer: 11dcae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 4417158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 240 and 810.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 + 23*x + 8. Give s(-22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 2*z, 3*s + 9*s = 8*s - 5*z - 7 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - 6, 0*y + 22 = -2*y + 2*t. Let c(k) = 2*k**2 - 9*k - 6. Is c(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 237*d**2\/5 + 477*d\/5 + 6\/5 = 0.\nAnswer: -2, -1\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 13.991589ms?\nAnswer: 0.0000038865525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*s - 16*s = 209. What is the greatest common divisor of s and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**2 - 137*b + 1338. What is n(12)?\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/((712\/(-445)*(-20)\/24)\/(-62))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1150381596174)\/398504394792 + 1\/(-4). Let f = -2\/4831059 - s. Let z = -3\/491 - f. What is the common denominator of z and 7\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 298*j**2 - 1196*j**2 + 301*j**2 + 11 + 12 + 296*j**2 + 304*j**2.\nAnswer: 3*j**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1335 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 13*r - 15. Let d(q) = -9*q + 10. Let a be ((-111)\/12)\/(14\/(-56)). Suppose 11*l = 40 + a. Determine l*d(t) + 5*x(t).\nAnswer: 2*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - q = 2*q - 8, 5*f + 84 = 4*q. Let h = 61\/3 + f. Which is the closest to 1?  (a) 0.3  (b) h  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 326 - 168 - 3*z**4 + 37*z + z**3 + 4*z**4 - 160 to s*z**3 + n*z + o*z**2 + p*z**4 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 491136.8s in nanoseconds?\nAnswer: 491136800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 9. Let z be 6\/10 - 4\/40. What is the third smallest value in z, c, -3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**2 - 8*c - 7 = 0. What is c?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 97 = -1. Calculate the lowest common multiple of b and 37\/(111\/(-84))*(-1 + 4)\/(-3).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**3 - n**2 + n + 1. Let a be p(2). Suppose 8*h - a*h = 0. Solve 0 = 3*x - 3 - h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u\/(u*u*u**4*u)*u*u**(-6) assuming u is positive.\nAnswer: u**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -882, -3712, -8428, -15030?\nAnswer: -23518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -1*sqrt(252) - (sqrt(315)\/sqrt(5) + (-2 + sqrt(7) + 1 + sqrt(7) - sqrt(7) - sqrt(7))).\nAnswer: -9*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 3, 32, 4 in descending order.\nAnswer: 32, 13, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 2*u - 351 = -347, -4*r = 2*u - 2. Let g(t) = 24*t - 7. Give g(r).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/4, -111\/8, 257.4, 8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 - 8*k + 49. Calculate the remainder when a(0) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16\/5 + 69\/20. Let k = -0.69 - -0.29. Which is the biggest value?  (a) k  (b) f  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b**5 - 376*b**4 - 4*b**3 + 376*b**2 = 0. Calculate b.\nAnswer: -1, 0, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -27 - -55\/2. Let w = 10 - 19\/2. Suppose -w*s + s**2 - z*s**3 + 0 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13.7 - 13.73. Let q(f) = -f**3 + 6*f**2 + 9*f - 15. Let c be q(7). What is the closest to c in 2, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 287418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3609626 and 20?\nAnswer: 36096260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 45*q - 2091 + 3441 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = -4*c - 3*y, c = -c - 2*y + 26. Let g(o) = 13*o + 4. Let h be g(4). Calculate the greatest common divisor of c and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 - 11. Let j = 38 - 4. Suppose v + 22 = 2*f + 8, s*f = 3*v + j. What is the highest common factor of f and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/26 - (-7)\/((-455)\/(-380)). Suppose -q + 2*q - 5 = -3*g, -2*q + r = 2*g. What is the lowest common multiple of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 971168 divided by -979.\nAnswer: -992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z**2 + 476*z + 4185. What is r(250)?\nAnswer: -1815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((6 + -4)\/(-10))\/((-132)\/1485)*(-2)\/12\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of l**2*r**4 + 8*l**2*r**2 + 79*l**2*r - 2*l*r**4 + 5*l*r**2 - 1968*r**4 wrt r.\nAnswer: 24*l**2*r - 48*l*r - 47232*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 902.24715 hours?\nAnswer: 5.37051875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 2*x - 19565 = 0, -26*h + 14*x + 101738 = 12*x. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -174*s**3 + 134*s**2 - 30426*s wrt s.\nAnswer: -1044*s + 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from otototototto. Give prob of picking 4 o.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1952, 1949, 1944, 1937, 1928, 1917, 1904?\nAnswer: 1889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -239, -474, -709, -944, -1179?\nAnswer: -1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2600508157.\nAnswer: 13, 109, 683, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 3483 + 2717 = 2*r, 0 = -r. Suppose -3*h - g = -2*h. Round h to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 338 - 263. Suppose -64*c + 33 = -z*c. Sort 3, -8, c in descending order.\nAnswer: 3, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 3*w = -255492, -54*w = 3*s - 58*w - 255471. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 + 14*h**2 - 2*h + 20. Let x = 142 - 140. Suppose -x*l + 2*i + 3*i + 266 = 0, -2*i + 8 = 0. Calculate the remainder when l is divided by c(-14).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3 and 47804034837949.\nAnswer: 47804034837952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 + 10*h**2 + 2*h - 18. Let y(p) = -p**2 + p - 1. Let r(k) = -i(k) + 3*y(k). Let a be r(-13). Solve -4*v = -2*c + 4, a*v + 6*c - c - 22 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -220 - -226. Let g(c) = c - 4. Determine g(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = -12*r + 8*r + 12, -2*r + 2*x + 2 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 939293917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 3*g**2 - 6*g + 365. Calculate the remainder when q(-26) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**5 + 3*v**5 + v**5 + (0*v**2 + 3*v**2 + 0*v**2 + 7*v)*(1 - 3*v**3 - 1).\nAnswer: -6*v**5 - 21*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/2 in -0.3, -38, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 - 6*d**2 + 2*d. Let z(p) be the second derivative of -p**4\/12 - 2*p**3\/3 + 3*p**2 + 9*p. Let c be z(-5). Let f be 245\/40 + c\/(-8). Give m(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, -2, -4, 1, 4, -1213 in increasing order.\nAnswer: -1213, -4, -2, 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 176070*o**2 - 174565?\nAnswer: 352140*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*n + 1221 = -67 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6494677 is divided by 3247242.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -367, -1386, -3087, -5470?\nAnswer: -8535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -188, 1, 34, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -20dd6 - -2?\nAnswer: -20dd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (7\/((-14)\/(-40)))\/((-16)\/(-34040)). Suppose -733*f + 738*f = j. Round f to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 8*n - 10*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95948746?\nAnswer: 2, 19, 132893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 + 2*z - 6. Let r be 2*(-5)\/(-6)*(-3 - 0). Let x be (r + 9)\/((0 + 1)*-1). Let d be c(x). Solve -d*b + b + 4 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 0.4, -12, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*x**4 + 6*x**2 + 3*x + 3 wrt x.\nAnswer: -72*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100126*u**2 + 20025*u**2 + 20043*u**2 + 20019*u**2 + 20025*u**2 + 20019*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -97 + 220. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o**3 - 328810*o - 328851*o + 657661*o - 10*o**2.\nAnswer: -o**3 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine fifths of a day in minutes?\nAnswer: 16992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 - 7. What is the remainder when 58 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 20 + -15 + ((-6)\/(-99))\/(2\/(-72)). Which is bigger: h or 3\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**2 + 17. Let w(x) = 30*x**2 + 3094 - 3112 - 31*x**2. What is -3*k(l) - 4*w(l)?\nAnswer: l**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 19*v - 5 - 20*v - 8. Let q be l(-17). Solve 5*d = q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59265 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: b\"What is the mth term of 7718, 7775, 7832, 7889, 7946?\n\"Answer: 57*m + 7661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -51430, -51431, -51432, -51433?\n\"Answer: -g - 51429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.1  (b) 3\/5  (c) -1\/5  (d) 5  (e) -832\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 796.383 + -1.383. Let v = 879.7 - k. What is v rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-2 + -9 - -21).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -111*i + 440*i**2 - 880*i**2 + 446*i**2 in the form r*i**2 + c + l*i and give l.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.6 - 0.4. Which is the fourth biggest value?  (a) s  (b) 0.5  (c) 1  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22 and 87222?\nAnswer: 959442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-2\/7))\/(p*(p*p\/(p**4*p))\/p))**19\/(p**(2\/9)*p*p**(-1\/8))**17 assuming p is positive.\nAnswer: p**(26167\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19716134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**4 - 2076*w**3 + 2078*w**2 + 2076*w - 2077.\nAnswer: -(w - 1)**2*(w + 1)*(w + 2077)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 54613.88 rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -5*p - 169. Calculate m(-37).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6eb (base 16) in base 13?\nAnswer: a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b = 3*b + 36. Let k be (1 - b\/(-3))*1 + -6. What is the least common multiple of 34 and k + 21\/3 + (1 - 0)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21343480 divided by 4268696.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (238\/(-306))\/(4*28\/(-126))?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 252 = 3*z - 5*s, 0 = -0*z + 4*z + 5*s - 371. Let b = -216 + z. Let t = b + 266. List the prime factors of t.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 6. Factor -2*t**3 - t**5 - 3*t + 3*t**w + 4*t - t**5.\nAnswer: t*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.022 + 0.078. Let p be (-5)\/4 - (-3 - -2). Suppose -3*d = -2*d. Which is the nearest to p?  (a) z  (b) d  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 670.2 - 669.2. Which is the closest to 1?  (a) -7\/10  (b) 16  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (30\/25)\/(6\/20). Let h(j) = 5*j**2 - 3*j**2 - r*j**2. Let d(u) = u**2 + u - u. Calculate d(h(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -1630934*a**2. Let b(k) = 3*k - 1. Calculate b(p(w)).\nAnswer: -4892802*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 4, r: 5, s: 5}. What is prob of sequence ssr?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/(u\/((u**(-2\/9)\/u)\/u)*u))**(-39)*(u\/(u\/((u*(u**12*u)\/u)\/u)))\/(u\/((u\/(u\/(u*u*u*u*u\/(u**(-3\/8)\/u*u))))\/u)))**(1\/3) assuming u is positive.\nAnswer: u**(2449\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 61*s**2 - 144*s**2 + 86*s**2 + 2*s - 785*s**3 in the form l + m*s**2 + w*s**3 + b*s and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2583424)\/(-864) + (-2)\/27.\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2 and 894733718.8?\nAnswer: 894733720.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4142.9 + -4323. Let t = -90 + 253. Let c = t + f. What is c rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z + 4. Suppose 1 = x + n + 5, 0 = -5*x - n. Let d(r) = -2 + 0*r**2 - 4*r + 5*r - r**2 + x. Let t = -1 + 0. Calculate t*l(g) - 2*d(g).\nAnswer: 2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oiq when three letters picked without replacement from {q: 6, o: 3, i: 1, b: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -127 + 1151?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 4537412.5 to the nearest 1000.\nAnswer: 4537000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -20 smaller than 2453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 + -12.6. Let h = -1.1 + i. Let z = h + 0.66. What is the closest to -1\/4 in 4, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2\/3 - 3347248*w\/3 - 2801017293376\/3.\nAnswer: -(w + 1673624)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.09051 rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.045326667 > -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*z - 4*t - 72, 5*z - 3*t - 172 = -212 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ubb when three letters picked without replacement from {u: 2, b: 8}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 11 + 34 - 44 - o. Let i(z) = -3*z + 6. Let n(f) = 5*f - 13. Let k(j) = -9*i(j) - 4*n(j). Determine k(y) + 4*u(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22153 + -22170. Let c(r) = -7*r**2 - 3*r - 7. Let v(t) = -21*t**2 - 9*t - 20. Determine b*c(l) + 6*v(l).\nAnswer: -7*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 11*t**3 - 12*t**2 - 12*t - 25. Let h be 0 - -9*6\/(-27)*-3. Let k(v) = 2*v**3 - v - 1. Let m(y) = h*k(y) - p(y). What are the prime factors of m(-9)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 480, 930, 1392, 1878, 2400, 2970?\nAnswer: 3600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -15\/8 + 1\/4*x + 1\/2*x**3 + 21\/8*x**2 = 0.\nAnswer: -5, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 407*h + 326*h = 1375*h + 1406*h + 69632 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 16.91694651 from -65840.\nAnswer: -65856.91694651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32144 is divided by 62.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) -42  (c) -4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 53609674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hppf when four letters picked without replacement from fsphfssppfsscff.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(1\/2)\/(m\/(m*m*m**(1\/6)))*m\/m**5*m*m**8*m)\/(m**7*(m**6\/m)\/m*m\/(m\/(m**1\/m))*m**8) assuming m is positive.\nAnswer: m**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 PM and 7:19 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -154*c*d + 33*c wrt d.\nAnswer: -154*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - (7 - 6) - 8) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6267 + -261?\nAnswer: 6006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 1 - (1 + -1 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1113 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -304*l + 20*l - l - 209*l to u*l + x and give u.\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -7. Let v = 49 - 84. Let p = 35.1 + v. What is the nearest to 2 in q, p, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - -3)*0\/(-3). Suppose 0 = p - t*p. Factor -2\/9*w**3 + 0*w**2 + 2\/9*w + p.\nAnswer: -2*w*(w - 1)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.145192 milliseconds in hours?\nAnswer: 0.00000892922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 + 6*d - 72. Let b be u(6). Let 2\/7*w**2 + 0 + b*w = 0. What is w?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.95 + -0.05. Let t = u - -3. Let i = 4.6 - 5. Which is the third biggest value?  (a) t  (b) -3  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 36*k - 9. Let s be d(9). List the prime factors of s\/14 - (-1)\/2.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7175 times 4?\nAnswer: 28700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 38 and 513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -115*w - 26. Let r(h) = 347*h + 77. Let n(d) = -6*r(d) - 17*u(d). Let y be n(-2). Suppose -3*x = y - 681. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1374 (base 12) to base 3.\nAnswer: -10002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 21*i. Let p(j) = 71*j**2. Give h(p(c)).\nAnswer: 1491*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 39 - 21 = 3*p, 4*p = -2*x + 130. Let n = -316\/5 + x. Let i be 3 - (475\/90 - (-2)\/9). Which is the biggest value?  (a) -2  (b) i  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 0 + 2 = 0. Let w(s) = 4*s**2 - 3*s + 1. Let a(p) = 4*p**2 + p**2 + 290*p - 291*p - 4*p**2. What is k*a(u) + w(u)?\nAnswer: 2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*h + 3835 = 28*h - 235*h + 15*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2 + 1 - 3*r**2 + 6*r + 5*r**2 - 4. Is s(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1132, -4513, -10160, -18085, -28300, -40817, -55648, -72805?\n\"Answer: -2*q**3 - 1121*q**2 - 4*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pjzzk. What is prob of sequence zj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7888055 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/24)\/(1*(-2)\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -439762*x - 24 = -439765*x + 3*z, 0 = 3*x - 2*z - 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 41 + -21. Solve -4*h - b = 3*a, -4*h + 4*a - 6 + 14 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 12:44 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 168\/1296*12\/5397 - 0. Let s = 77098\/6939 + z. Factor -26\/3*y - 2 + s*y**2 + 116\/3*y**3 - 66*y**4 + 242\/9*y**5.\nAnswer: 2*(y - 1)**3*(11*y + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-3)*(-6)\/(-4). Let q = -14 - -17. Put -0.5, h, q in decreasing order.\nAnswer: q, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*d - 172 = -4 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5424\/391884)\/((-72)\/204).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 - 0) + 12 + -2. Find the second derivative of -a*t**5 - 2*t**5 + 10*t + 7*t wrt t.\nAnswer: -180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 2*s**3 - 3*s**2 - 10*s + 3. What is f(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -4*j**3 - 13*j**2 + 64*j + 43. Is h(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/8 and -131\/2118.\nAnswer: 8472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/2 + -1 + 2. Let g = 21569\/27055 + 15\/5411. Factor -g*q + 0 - 2\/5*q**i.\nAnswer: -2*q*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1735 is divided by 1607.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -5*q**5 + 285*q**4 - 2935*q**3 - 73665*q**2 + 1281420*q - 2249100 = 0?\nAnswer: -17, 2, 21, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-6\/11)\/(h**(-6)*h))**(-2\/127)*(h*h\/(h**(-4\/7)\/h*h)*h**(-6\/7))**(29\/5) assuming h is positive.\nAnswer: h**(482726\/48895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 6305340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -0*y - 3, -5*h = y - 186. Let s = h - 32. Find the second derivative of 7*z**5 - 8*z**s - 13*z**5 + 0*z - 14*z wrt z.\nAnswer: -280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from egggwweweegegw. Give prob of picking 2 w.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*n - 57 - 48 = 35*n + 5*v - 35, 6*n - 6 = -2*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 14) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 275539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the third derivative of -571*b**5\/60 + 5*b**4\/8 - b**3\/2 + 2*b**2 + 116. What is the second derivative of n(c) wrt c?\nAnswer: -1142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 26 = 3*h, 2*h + 8*c = 4*c + 28. What is the closest to h in 1, -1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(24)\/sqrt(64) - sqrt(6))\/(-1*sqrt(98)) + (1 + sqrt(3) + 0 - sqrt(3)) + sqrt(3) + sqrt(3) + -2 + sqrt(9)\/sqrt(3))**2 + -1.\nAnswer: -87*sqrt(3)\/14 + 22707\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 511455?\nAnswer: -511455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-286)\/884*((-5115)\/(-363) - 15)?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56499 is divided by 1228.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -3861 != -3861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 13*x**3 + 6*x**2 - 6*x - 6. Let c(j) = -27*j**3 - 13*j**2 + 13*j + 13. What is 6*c(t) + 13*w(t)?\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 + 4. Let k = 4 - g. What is the remainder when 37 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 2\/5  (b) -3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 213108 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 2*d + 6)*(-3*d + 2*d + 0*d)*(d**3 - d**2 + d**2).\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -k**4\/4 - 3*k**3\/4 - k**2\/4 + 3*k\/4 + 1\/2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -152\/245 - -1\/49. Let g = 576 + -5197\/9. Calculate the common denominator of s and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3302840 rounded to the nearest ten thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of -16*d**3\/3 + 1631. Let n(y) = 52*y. Give m(n(o)).\nAnswer: -43264*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/5*1220\/(-488).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 15.150804ns?\nAnswer: 0.0000000002525134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1040 (base 5) in base 7?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1193310563 a multiple of 1343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1407*-5.\nAnswer: -7035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-7)\/(-2) - -9*7\/(-126). Let n be (-18 + i)*(-3)\/5. Calculate the greatest common divisor of n and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 169029691.\nAnswer: 17, 23, 432301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-85)\/5015)\/(36\/(-14868))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from eqqwlhheljheleqeh?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 33*x + 34*x - 211.\nAnswer: x - 199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2629, -2588, -2539, -2482, -2417, -2344?\nAnswer: -2263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.7795 rounded to 2 decimal places?\nAnswer: 3.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1524 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 36*r + 7. Is k(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2375 is divided by 677?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 214102291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -1, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -4*h**4 + 19*h**3 + 4*h - 51. Let u(y) = -4*y**4 + 22*y**3 + 3*y - 50. Let l(k) = -4*u(k) + 3*v(k). Differentiate l(o) wrt o.\nAnswer: 16*o**3 - 93*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*(-2)\/(-10))\/(59 - ((-7869)\/(-215) - -27))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 438907371 to the power of 1\/3, to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 + 2*l**2 - l - 1. Let x be f(2). Let m(t) = 100*t + 398. Let v be m(-4). Which is bigger: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1206 and 498681.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -35  (b) -479\/3  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/2 + 10\/(-20). Suppose -4*m + 3*r + 2 = 0, 5*m = -5*r + 17 + 3. Differentiate 3*c - 2*c + m*c - 6*c - h with respect to c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4305 (base 6) in base 5?\nAnswer: -12402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**0\/w**(-6))**(20\/11)\/((w**(-1\/2))**49*(w**(-1))**(-2\/15)) assuming w is positive.\nAnswer: w**(11641\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 - (-26)\/(-8))*0. Let j(x) = -2*x + 15. Let k be j(i). Let p(b) = -7933*b - 5. Let n be p(k). Round n to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 373.68 rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (7\/((-112)\/(-612)))\/12. Let b = -27\/8 + m. Suppose -4 = -3*g - g. Are g and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llllplpllllll. Give prob of sequence llpp.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1476, 5, 42897 in descending order.\nAnswer: 42897, 5, -1476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 5*a = -a - 16, -c + a = 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (45\/36)\/((-1)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1053\/220 - 79\/55. Find the common denominator of ((-1)\/8)\/(1\/101) and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19.4 + 3.6. Let d = 290 - 293.96. Let t = d + 2.96. Which is bigger: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-6)\/(-24)*-2) + -8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 33, -4, 4, 5 in descending order.\nAnswer: 33, 5, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*(-20)\/(-5 - -1). Is 1\/b - (1734\/(-30) - -5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 j when three letters picked without replacement from kipidpppjpdkdkyidjjk.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2. Let u(o) = -198*o**2. Give j(u(y)).\nAnswer: -39204*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30\/95 - (-18560)\/(-114608).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*q = 60*q - 198. Suppose -6*x + 79 + q = 0. Solve -10 = -10*m + x*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 17\/15 - (4 + -3). Let k(d) = 9*d + d**2 + 0 - 5 - 3*d. Let m be k(-7). What is the nearest to -1 in m, t, 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 2*r - m, 2*r = 3*m + 34 - 11. Let z(c) = 3*c**3 + 33*c**2 - 4*c - 33. Let k be z(-11). Solve -k = -x - r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-206)\/186 + (-9)\/(-27) and 99\/8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -60 + 63. What is the lowest common multiple of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-3)*(-513744)\/(-352). Calculate the highest common divisor of 98 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2 - 6683469*q - 6683470.\nAnswer: (q - 6683470)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = c + 3. Let i(g) = -g**2 - 10*g - 7. Let z be i(c). Is 178\/z - 0\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = 4*w - 30, 12*n - 14 = 20*w - 18*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.2  (b) -2\/7341  (c) 1\/6  (d) -1\/3  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.675 - -65.675. What is the closest to -0.1 in 5\/4, 2\/17, w?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -863.52635 rounded to one decimal place?\nAnswer: -863.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 57623865 a multiple of 1963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -644623.\nAnswer: -1933869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of -y**5\/20 + 2*y**4\/3 + 4*y**3\/3 + 13*y**2\/2 - y. Let l be n(9). Factor -5*v**4 + v**2 + l*v**4 + 0*v**4.\nAnswer: -v**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of -x**3\/2 - 19*x. Let h(z) = -19*z**2. Calculate h(b(q)).\nAnswer: -171*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7879 - -78861\/10. What is the common denominator of 0 + 81\/6 + 1 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (p - 2*p + 2*p)*(-p - p + 0*p)*(-4 + 6 - 4)*(4*p - 3*p - 25*p)*(-3 + 4 - 2) to the form y*p**2 + n + x*p**3 + z*p and give x.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 1195 divide 253580738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 336909659 a multiple of 1259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.05 - -3.8. Let z = m - 0.35. Let y = 1 + z. What is the second biggest value in y, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/536 and -46\/416941?\nAnswer: 3335528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 62.707038138 and 28?\nAnswer: 34.707038138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9529\/5 or 1907?\nAnswer: 9529\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -970, -3884, -8742, -15544?\n\"Answer: -972*f**2 + 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*k + 2*n, -n - 4*n - 25 = 0. Suppose 5*h - 20 = 0, 5*q - 38 = 3*h + 30. Calculate the remainder when 256\/k + 6\/(-2) is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 2\/7*g**4 - 8\/7*g - 4\/7*g**3 + 2*g**2 = 0. What is g?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1307.2 and 365.\nAnswer: 477128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -986 * 16.7107\nAnswer: -16476.7502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*a + 3. Let n = 7 + a. Suppose 14 + 6 = 4*o, -2*l + n*o + 7 = 0. Which is greater: l or 9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 40*f**4 + 60*f**3 - 215*f**2 + 125*f - 10. Let v(i) = -i**5 - i**4 + i**3 - i + 2. Let k(w) = -a(w) - 5*v(w). Factor k(y).\nAnswer: 5*y*(y - 8)*(y - 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*p + 36*p + 26*p + 570 = -7*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 36768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the second derivative of 11*m**3\/6 + 2*m**2 + 142*m. Let y(j) = -10*j - 3. Calculate -5*o(a) - 6*y(a).\nAnswer: 5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 67*f**2 + 2*f. Let i(o) = -4*o**2 + 5*o**2 - 12 - 7 + 19. Give m(i(b)).\nAnswer: 67*b**4 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -116*z + 112*z + 4. List the prime factors of 58\/1 + (3 - z).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - (-2 - (-99)\/30)) + (-6350877)\/(-95790).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 29\/5?  (a) 1\/3  (b) -0.1  (c) 0.23  (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -12*g**5 - 68*g**4 - 88*g**3 - 32*g**2 = 0?\nAnswer: -4, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 divided by 290.\nAnswer: -21\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2852370 divided by 615\nAnswer: 4638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15704 - 15706. Suppose 4*p + 3*s - 121 = -27, 4*p - 78 = 5*s. Sort -3, -4, o, p in ascending order.\nAnswer: -4, -3, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 6 = -34. Let c = -54 - -55. Sort -4, c, t, 0 in increasing order.\nAnswer: -4, 0, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9843681 to the nearest integer?\nAnswer: 3137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 14*(-1 - 75\/(-21)). Let n(j) = 12*j**2 - 2*j + 1. Let c be n(2). Suppose -h - c = -6*h. Calculate the highest common factor of h and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dhg when three letters picked without replacement from {h: 1, d: 1, f: 1, g: 1, q: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 + 7*x**2 + 10*x - 8. Calculate the remainder when 23 is divided by k(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1927 and 28259173.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 10 + -142a?\nAnswer: -141a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.9 + 10.9. What is the third smallest value in v, -2\/11, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-2)\/(-840))\/((-99)\/(-3993)) and 79\/45.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5405 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/13))**16 assuming q is positive.\nAnswer: q**(-32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 4*c**4 - 2004*c**3 + 191180*c**2 - 2379852*c + 7367760 = 0?\nAnswer: 5, 9, 108, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (37\/111)\/(4\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 AM and 1:35 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/13  (b) 6286  (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -528360 divided by -4403?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 7803*h. Let c(i) = 110*i + 1. What is v(c(f))?\nAnswer: 858330*f + 7803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(-35)*z)\/z**(-24))\/(z**(5\/2)\/(z**(2\/13)\/z)) assuming z is positive.\nAnswer: z**(1499\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, -18, -62, -144, -276, -470?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1218 - -1915. Is 41 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uswuulue. What is prob of picking 1 u and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (32\/168)\/(8\/(24\/(-1)))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6305 = -5*j - 5*k, k - 5 + 10 = 0. Let m = 2182 - j. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b\/(b*b**(5\/7)*b)*(b*b*b*(b\/b**(-2\/5))\/b*b)\/b)**(-2))**(-20))**(12\/11) assuming b is positive.\nAnswer: b**(9024\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 9 = -2*o, 6*z - z = o + 23. Solve 4*g - 5*r = 20, -o*g - g + 4*r = -16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -37 less than -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (2*sqrt(180)*5 - (sqrt(180) - (sqrt(180) + sqrt(180) + sqrt(180) + (3 + -1*sqrt(180) - sqrt(180)) + sqrt(180)))) + -1*-1*sqrt(180)*4)**2*1 + -2.\nAnswer: 180*sqrt(5) + 40499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 299966 is divided by 717.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 9 = -y - 2, -5*y = 4*t - 2. Let l(g) = 74*g + 150. Let x be l(-2). Suppose -x*n = t*n. Solve n = 2*a - 0*d + 5*d - 12, d = 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -57 + 229\/4. Let o(v) = v - 9. Let z be o(10). Is z at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) -2\/19  (b) 4  (c) -2\/11  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1213 (base 5) to base 12.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(2673) - sqrt(2673))*3 + sqrt(2673))*-5)\/((sqrt(891)*2 + sqrt(891))*1 + 1*2*sqrt(891)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 15322907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 + 9 = 3*k - 2*l, -2*l = -8. Let a = -7 - k. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, 1, -26, 4?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -33 + 41. Solve 3*q = -2*d + 3 - 16, -d - o = 3*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10695336 and 3792.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -18 and 68.763095.\nAnswer: 50.763095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/9 and 55\/302.\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.17  (b) 1  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 301792, 301798, 301808, 301822, 301840?\n\"Answer: 2*u**2 + 301790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 125763 + 63?\nAnswer: 126046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -102 - -57. Let g = w - -69. Suppose -5*c = -5*r - 11 - g, 2*c + r = 11. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - w - w = -205, -91 = -2*b + w. Let n = b - 11. Calculate the greatest common divisor of 192 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of -m**4\/12 - m**3\/6 + 5*m**2. Let g(y) = y + 1. Let p(h) = 3*g(h) + 3*u(h). Let r(t) = t. Give r(p(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 946, 1895, 2834, 3757, 4658, 5531, 6370?\nAnswer: 7169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 5  (b) 2.93  (c) 3\/2  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -13*(-5)\/(5\/(-2)). Let r = -14 - x. What is the remainder when 1491\/33 + (10\/(-22))\/(205\/82) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.1  (b) 29.4  (c) -3  (d) 5  (e) -4\/3  (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 15 = 25. Suppose -5*c - 5 = -g*x, 0*x - 2 = 4*c - 3*x. List the prime factors of c\/3*-8*-6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 678*d - 411*d - 168*d - 173*d.\nAnswer: -74*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 + 7*i + 2. Let w be h(-7). Let z(j) = j + 2. Let b be z(6). Let g = 15 - b. Solve 0 = l + g - w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 - 5*f**2 + 3. Let z(x) = 3*x - x**2 - 4*x**2 + 6*x**2 + 1. Let o be z(-4). Suppose -10 = -n + o*k, -k - 1 = 2. Give l(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(35) + sqrt(35) + sqrt(350)\/(sqrt(10)*-2))\/(-5*sqrt(28) - sqrt(7))*6.\nAnswer: 45*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (44\/(-48))\/((-209)\/190)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 + 9. Suppose 2*w + 2*w - 12 = m. Suppose -w*a = 0, -r = -6*r + 2*a + 95. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of f**5\/60 - 2*f**4\/3 + 3*f**3 + 7*f**2. Let n be r(15). Solve -3 = -4*w + 3*m + 24, n*m = -15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert c3 (base 15) to base 9.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 856635209 to the nearest integer?\nAnswer: 29268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 10) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 431 minutes after 5:05 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, -43, -51, -59, -67?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -0.039108?\nAnswer: -0.19554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 77*u**2 - 154*u + 942. List the prime factors of r(-34).\nAnswer: 2, 3, 5, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -35673*h**3 + 133453 wrt h.\nAnswer: -107019*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2528*p**5 + 2*p**4 + p**3 + 78*p**2 - 74 wrt p?\nAnswer: 151680*p**2 + 48*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -323*s + 11330. What is y(34)?\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**14*g**(-13)*g**(-6\/13)\/g**13)**(-27) assuming g is positive.\nAnswer: g**(4374\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -9*k - 3. Let l be g(-4). Let y = 36 - l. Suppose 0 = w - y - 9. What is the greatest common factor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 3. Let b be ((-6)\/(-28))\/(p\/(-4)). Let v = -1.23 - -6.23. What is the closest to 2 in b, -3, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5550 = -1124*d + 1494*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i + 7. Let u be v(-7). Let y = u - -5. Suppose 4*l - l = 5*g - 37, -3*g + l = -y. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 - 2. Let n = 0.18 + -3.58. Let o = 3 + n. Put 3, o, q in ascending order.\nAnswer: o, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.967168721 to 3 decimal places.\nAnswer: -1.967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 9*t + 2. Suppose 364*s - 12 = 368*s. Let w(u) = -10*u - 2. Calculate s*x(f) - 2*w(f).\nAnswer: -7*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 h when four letters picked without replacement from {t: 7, h: 9}?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 374*x - x**4 + 217*x**5 - 2590 + 112*x**2 - 112*x**2 + 2590 wrt x.\nAnswer: 4340*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**3\/7 + 1826*g**2\/7 + 63818*g\/7 + 547366\/7 = 0.\nAnswer: -17, 947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 4*b**2 + 5*b - 45. Calculate d(0).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 4*d - 3. Let n(g) = -5*g. Calculate n(b(o)).\nAnswer: -20*o + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 4*m = 5*g + 45, -2*g - 3 = m. Solve -m*s + 17 = k + 2, 3*k + 3 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = c + 7*x - 10*x - 11, 5*x = -25 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - (5 - 9)) + (-6 - -339). Suppose -3*w - 4*u = -10 - 504, 4*u + x = 2*w. What is the greatest common divisor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -4*i**3 - i - 1. Let o be p(-1). Suppose -a = -3 - 2, -d - o*a + 25 = 0. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 + -5. Let h = -63 - -58. Let y be (-2)\/h - (-14)\/(-35). Solve -5*p = -y*p - r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 + -14. Suppose -6 = -2*v + 6*v + t*m, 5*m = 5*v + 30. Suppose 4*g - 3 = 5. Which is the nearest to g?  (a) v  (b) 0.3  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*z - 78*z = 0. Let i(b) = -b**2 - 38. What is i(z)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 3*w + 39, 2*y - 7*y + 2*w = -93. Suppose -2*j - 3*u = -48, 5*u = -4*j - 21 + 121. What is the remainder when j is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 24*x**2 - x. Let l be a(-1). Suppose 3*m + 74 = h, 0 = 2*m + 3*m - l. Round h to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**2 + 5. Let w(n) = 1. Let a = -4 + 6. Let d be a*-1 - (0 + -5). Let p = -4 - -3. Calculate d*w(m) + p*h(m).\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12 + 13?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + 42*z**2 + 133*z. Is 4 a factor of o(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11530433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4185 and 5270465?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 4*p - 130 = -0*p, 5*p = -25. Let t be (-2)\/5 + (-5270)\/d. Let s be 12\/t - 2\/(-7). Is -1 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14343677 to the power of 1\/2, to the nearest integer?\nAnswer: 3787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s\/(s**(2\/39)*s))*s**(1\/20) assuming s is positive.\nAnswer: s**(859\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 5, t: 1, i: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 4 = 5*k, -h - 6*k - 2 = -7*k. Suppose -17 = -3*l + 3*d + 10, 3*d + 35 = 4*l. Suppose r + r = -l. Which is greater: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 124 or 120?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 2*d + 253 - 3896 = 0, -3*d = -4*g + 4880. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2338 divided by 1?\nAnswer: -2338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 648\/11, 3, 8, -0.1, 0.3 in descending order.\nAnswer: 648\/11, 8, 3, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35680620?\nAnswer: 2, 3, 5, 17, 34981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.34 + -0.34. What is the biggest value in o, -2\/3, -2\/11, 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85*k**3 + 75*k**3 - 162*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 249*f - 18. Let z(i) = -125*i + 9. Let a(o) = -2*g(o) - 5*z(o). Let t be a(6). Suppose 0 = -4*d + 563 + t. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -7*g**2 - g - 7. Let j(v) = -v + 4. Let n be j(2). Suppose 5*y - 3*p - 19 = 0, 1 - n = y - 3*p. Let u(t) = -6*t**2 - t - 6. What is y*u(a) - 4*b(a)?\nAnswer: -2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 1:45 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 4 + -1*sqrt(7))**2.\nAnswer: -14*sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 1.3. Let v = 41 + -39. Let t be (v\/4)\/((-39)\/12 - -2). Which is the nearest to 0.1?  (a) -2  (b) o  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92.97554 millennia to centuries.\nAnswer: 929.7554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - d - 1300 = 3*d, -5*d + 10 = 0. Let w = t - 320. Solve w*v - 6*v + 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/(0 + 3\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c - c + 2*c + ((1 - 4 + 1)*(40 + 7 - 10) - 6 - 1 + 2)*(-2*c - c + c).\nAnswer: 157*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(864) - 2*sqrt(864) - sqrt(864))\/(sqrt(12) - -3*(sqrt(12) + sqrt(36)\/sqrt(3))).\nAnswer: -12*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m**2 - 14*m + 12. Let x be r(7). Let v be (54\/(-216))\/(0 + (-1)\/20). Solve -o = 2*b - 3, -v*b = -5*o - x + 42 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-1 + 6*(sqrt(68) - (-1 + (sqrt(68) + 1*sqrt(68))**2 - sqrt(68)))).\nAnswer: -24*sqrt(17) + 1627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000181801797 to seven dps.\nAnswer: 0.0001818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 314654970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*c + 7*c + 4*c**4 + 2*c**3 + 10*c + c**2 - 8*c**3 - 5*c in the form p + b*c**2 + n*c**3 + h*c**4 + x*c and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -1819364 at most as big as -1819365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/3)\/((-1)\/(-1))*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16967*w + 1088469 = 1908*w - 357195 for w.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 38 = -73. Solve -5*q + 10 = -r*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 936*b - 148650. Calculate n(158).\nAnswer: -762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 761429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 855858.9g in tonnes?\nAnswer: 0.8558589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50998 and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -31443110 (base 5) in base 3?\nAnswer: -111111001211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20 and 1020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5747768 to the power of 1\/2, to the nearest integer?\nAnswer: 2397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 6*j - 25. Let m be a(5). Let b(g) = -g**2 + 11*g - 13. Let u = 18 + -9. Let p be b(u). Solve -p*l + 25 = -4*z, -m*l - 2*z - z = -25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1392 divided by 23\nAnswer: 1392\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**2 - 3*l**2 + 2*l**2)*(l**3 - 1 + 1) + 13*l**5 + 62*l**5 + 195*l**5.\nAnswer: 272*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -39, -64, -89?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 3*v. Let h(s) = 27*s**2 - 5 - 7 + 12. What is u(h(x))?\nAnswer: 81*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -258*b**3 + 0*b**3 - 68*b**3 - 2 + 645*b**3.\nAnswer: 319*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + (18 + -24 - (2 - 21)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*x**3 + 30602*x**2 + 39355*x + 8746.\nAnswer: -(x - 4373)*(x + 1)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26105021?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 83, 162, 251, 350, 459, 578, 707?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4 and -1031.\nAnswer: -1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12 - -13. Suppose 0 = 2*i - 5 + j. Suppose 0 = -3*b - 2*z + 14, -26 = -3*b + b + i*z. Solve 0*f - b = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5313 or 29982?\nAnswer: -5313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3400274, -10 in descending order.\nAnswer: 3400274, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 4*b**2 + 580*b + 19653. Determine s(-58).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 164 = -4*y, 2*m - 120 = -0*y + 3*y. Let i = y + 63. Does 25 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1413 - 325. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129*a = -54*a + 682 - 8557 for a.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2006531 at least as big as -2006533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 11:04 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1495304432 to four dps.\nAnswer: -0.1495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6983653.\nAnswer: 41, 59, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -123*u + 58*u**3 + 122*u - 44*u**2 + 43*u**2 in the form l*u + h*u**2 + z + i*u**3 and give i.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (44*k - 229 + 229)*(-2 + 2 + 18*k**3).\nAnswer: 792*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 42*i**2 + 2*i - 4*i - 2*i**4 - i**3 - 2 + 29*i**2 as u*i**3 + n*i**4 + b*i**2 + d + r*i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 577*r - 862*r - 1995 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 131 a factor of (-2 + 105)\/((-82)\/(-10004)) + (-8)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = -4*b + 2*b. Let h be 3\/12 - (-4)\/b. Suppose -8*c + 2*c + 27498 = h. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1012 = -4*d - 4*y + 84, -y - 826 = -3*d. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*g**3 - 422*g + 217*g + 205*g - 3 to the form z*g**2 + y*g + n + x*g**3 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16310*i*p*v**2 - 16624*i*p + 18*i*v**2 - 20*i + 2*p*v**2 - 7*p - 2 wrt v.\nAnswer: 32620*i*p*v + 36*i*v + 4*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.1 in -5, 1, 1.141, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 120, 117, 114, 111, 108, 105?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 555601.4 years to millennia.\nAnswer: 555.6014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*y - 29*y + 32 - 56 + 29 in the form w + a*y and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of 7\/15*u**6 + 2\/21*u**7 + 0*u**2 + 5\/6*u**4 - 3*u + 9\/10*u**5 + 0 + 1\/3*u**3. Solve o(t) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 720573 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -180896 divided by -11306.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/1006468 and 101\/228.\nAnswer: 3019404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 + -14. Let h = 144.74 + -143. Let f = 1.54 - h. Which is the nearest to 1?  (a) -0.4  (b) f  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6342107 <= 19026322\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccex when four letters picked without replacement from ecneccnccfcccxcccc.\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 544 and 26384.\nAnswer: 52768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -0*z - z. Let q be (6\/(-4))\/(z\/(-4)). What is the remainder when 25\/1 - (-2 - q) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x - 2. Let m = 9 + -5. Let q be j(m). Let s = q + -4. Is s not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 - 1) + -5 - 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3535 - -304. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-148)\/(-30)*2\/(-8). Let n = q - -14\/15. Let s = -1\/5 - n. Which is the biggest value?  (a) 0.5  (b) s  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*c + 56 + 71*c - 31*c + 58*c + 7.\nAnswer: 90*c + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.137?  (a) 0.03  (b) 17  (c) -14  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, -3, 32, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from byggy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 - 4*w + 7. Let t be o(2). Let q(m) = 14*m + 36. What is the tens digit of q(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 4) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**12)\/(d\/d**17))\/(d\/(d*d**(-23))*d\/(d**(-9\/2)*d)))**(-35) assuming d is positive.\nAnswer: d**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 + -1c81?\nAnswer: -1c7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 70 + 14. Let c = h + 9. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -2, 340, -107, 1.\nAnswer: -107, -2, 1, 11, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1b62 - -3?\nAnswer: 1b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -36481*y - 474258. Calculate n(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that t**3\/4 + 22197*t**2\/4 + 243901*t\/2 - 266100 = 0.\nAnswer: -22175, -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1930, 7, -9550, -30557, -66830, -122185, -200438, -305405?\nAnswer: -440902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -x - 39, 2*p - 5*x = -0*p + 27. What is the smallest common multiple of p and 15\/6 + 1\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of -7*u**5\/20 - u**4\/4 + 5*u + 4. Let m(a) be the first derivative of r(a). What is the third derivative of m(n) wrt n?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1104 + 213?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 115104 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194*c**2\/9 + 1202794*c\/9 - 12400\/3 = 0. What is c?\nAnswer: -6200, 3\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.6 - -3. Let j = 0.11 - 9.11. Let m = -9.1 - j. Which is the nearest to -0.3?  (a) r  (b) m  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -6665*c. Let r(b) = 3527*b. Calculate r(j(q)).\nAnswer: -23507455*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.24 - 0.14. Sort -2\/3, g, -1\/2 in decreasing order.\nAnswer: g, -1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -1 + 55*g - 259*g - 11*g. Let h be y(-1). Suppose 5*q - o - 47 = h, -q + 4*o + 37 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 70 and 56014?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 74569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 + 46*g**2 - 3*g - 125. Let d be c(-46). Solve -12*r - d + 13 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -361, -719, -1077, -1435, -1793, -2151?\n\"Answer: -358*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(72)\/(sqrt(48)\/sqrt(4)))\/(sqrt(72)\/sqrt(6) + sqrt(3)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 - y**2 + 5. Let m be b(0). Let l(j) = -j**3 + 6*j**2 - 3*j - 4. Is l(m) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 10 - 6. Let t be q\/(-10) + (-72)\/(-45). Let w be 22\/14 - (-3)\/(-3). Which is greater: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -367*l - 362*l + 728*l - 140 to the form z*l + g and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -322 - -516. Let c = i + -194.00000203. Round c to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -3*g**2 + 8*g - 3. Let l(f) = 3*f**2 - 9*f + 3. Let m(d) = -4*l(d) - 5*z(d). Let n be 4*(-3 - (-7)\/2). Determine m(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 40 and 28?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 + 6*c**2 - 7*c. Let d be y(3). Suppose -11*j + 2873 = d*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1032017, -1032332, -1032857, -1033592, -1034537, -1035692?\n\"Answer: -105*y**2 - 1031912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-168*a - 124*a + 252*a)*(-4 - 5 + 4).\nAnswer: 200*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/6 and -10\/2443?\nAnswer: 14658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 94932 and 134460.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27527?\nAnswer: 27527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.12 - -3.306.\nAnswer: 3.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 1 - 7. Suppose 0 = -m - 4*p + 60, -119 = -n*m - 4*p + 37. Suppose m = 3*l - 0*l. Solve t + 3*t = -l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (2 + -307)*1\/2*-2 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134 = -13*d - 82 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 (base 9) in base 14?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5\/(-20) + (-30)\/8. Let x(k) = 10*k + 1. Let i(t) = 3*t. Let f(l) = o*x(l) + 14*i(l). Is 2 a factor of f(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 4, -1473, -1 in ascending order.\nAnswer: -1473, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -10670 divided by -970?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of -q**2\/2 + 1. Let t be x(0). Let l be -1 + -13400000 - (-1 + t). Round l to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1143*s**4 + 6219*s**2 - 2*s + 128960902.\nAnswer: -4572*s**3 + 12438*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) 2\/3  (b) 0.7  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -5*f - 5*j - 71, 0 = -4*f - 3*j - 57. Let q be 3*(f\/9 + 2). Suppose -2 = -o + q. Solve -a - 2*a + o = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/4410 and -32\/21.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.01336 - 9.98664. Which is the second biggest value?  (a) -3  (b) o  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-5))\/(-4)*(-1)\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*a - a + 10. Is -82*(a - (-9)\/6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 4*m - 2 + 2 = 0, 184*m = -24*b + 183*m - 100 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56*-2.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -2*x. Let v(j) be the first derivative of 0*j**2 + 0*j - 1 - 1\/3*j**3. Determine v(r(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 66765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/4 in -1\/10, 10, -3\/2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/2*(-19)\/(-19)*(-44)\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101906 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 259229 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*s**2 + 450*s + 316*s**2 + 905*s**2.\nAnswer: 1179*s**2 + 450*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2215 (base 15) to base 6.\nAnswer: 53232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, m: 1, k: 5, h: 5, t: 1, f: 1}. What is prob of sequence tkhs?\nAnswer: 5\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -108*o**2. Let z(m) = 19*m**2. Give z(y(l)).\nAnswer: 221616*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 46\/5 of a decade?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2 from -4473190.\nAnswer: -4473192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 3*k + k + 8 = 0, 4*h + 4*k + 16 = 0. Let t be 305\/(-840) + 2\/28. Which is greater: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeweeweweewwiw. Give prob of sequence ei.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((-1*sqrt(95) + sqrt(95))*-4 - sqrt(95)))\/(sqrt(245) - (sqrt(245) - sqrt(245)*-1) - 1*sqrt(80)).\nAnswer: sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 p when three letters picked without replacement from {a: 3, b: 4, v: 5, p: 3, l: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 94.29615 weeks to milliseconds.\nAnswer: 57030311520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from kykyjwkwjyy.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k*((k*k**8)\/k)\/k)\/k)\/k**(-2\/9))**(-27\/7))**50 assuming k is positive.\nAnswer: k**(-9750\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2\/3 - 9136*p\/3 - 616601\/3.\nAnswer: (p - 9203)*(p + 67)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 2827 = -3*w, 0 = -16*y + 17*y + 3*w - 1400. What are the prime factors of y?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 151507*k**3 + 46*k + 2386?\nAnswer: 909042*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 277241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 12:00 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w\/(w*w**(-1\/3)*w))\/(w\/(w\/w**1)))\/((w*w**12*w)\/w*w**6))**(-2\/63))**(-2\/11) assuming w is positive.\nAnswer: w**(-248\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -6*w + 5. Let x(i) = 7*i - 4. Let c = -59 + 56. Let o(k) = c*x(k) - 4*m(k). Let r be o(4). Solve 3*f + 1 = r*b - 0, -5*b + 45 = 5*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 4*c = 40. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 - -29. Let f = 41 - 80. Let p = -36 - f. Which is the second smallest value?  (a) -3  (b) p  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-246)\/99 + 1\/(-3) + 3. Let j = -29 - -65. Let h be 1\/8 + j\/(-32). Is v less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 2, 3\/14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -46229*t**3 - 102488*t**2.\nAnswer: -277374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -64.7 + 74. Let z = -0.2 - o. Let l = 9 + z. Which is the nearest to 0.2?  (a) -0.4  (b) l  (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 13*o**2 + 5*o + 6. Let n be b(-3). Let w = n + -61. Let d = w + -21. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 464, 574, 686, 800, 916, 1034?\n\"Answer: b**2 + 107*b + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(500) + (sqrt(500) + 2*sqrt(500) + sqrt(500) + -5)**2 + sqrt(500).\nAnswer: -380*sqrt(5) + 8025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*x**4 - 1747*x**2 + 1736*x**2 + 4*x**4 - 96*x**3 + 2*x + 5*x**4 + 2 in the form g*x**4 + y*x**2 + l + d*x**3 + s*x and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1243525 and 5.\nAnswer: 1243525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -5. Put -3, k, -9 in increasing order.\nAnswer: -9, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 592*d - 80. Let j(o) = -2*o**2 + 94*o. Determine g(j(p)).\nAnswer: -1184*p**2 + 55648*p - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 4 = 21. Solve -2*a - 3*i = -i + 6, 2*i = -c*a - 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139 = 26*z + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011001000101 - 100101101?\nAnswer: -1011101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*d**2*v*x + 113*d**2*v + d*v - 5*v*x - 232*v wrt d.\nAnswer: 10*v*x + 226*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 72, -55, 1\/5, 3\/4, -1, 2 in descending order.\nAnswer: 72, 2, 3\/4, 1\/5, -1, -9, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3*l = -0*l + 12, 2*x = 4*l + 26. Let d(n) = 2*n - 3. Let k be d(x). Let g(a) = 6*a**2 - 4*a. Let i be g(1). Solve 0 = -i*u - k*u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -458*y**3 + 831 wrt y.\nAnswer: -1374*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 95.03363 - 0.03363. Let k be 2\/(-5) + 0\/2. Sort c, 3, k in descending order.\nAnswer: c, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -5*l**2. Let m(k) = 45*k + 1. Give j(m(v)).\nAnswer: -10125*v**2 - 450*v - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10)\/24 - 21\/(-28). Let n be (3\/2)\/(2\/(-4)). Which is the third biggest value?  (a) n  (b) r  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 4*w + 144. Let b be f(-36). Suppose 6*x = 7*x + 5*k - 8, -2*x + 40 = 2*k. Solve b = -5*i - r - x, 4*i - 3*r - r = -28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 12*n - 80. Let r be m(7). Solve r - 7 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5093559 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: Express 9 - 10 + 25 - t**2 as m + w*t + y*t**2 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**2 + 9*u - 22*u - 3*u + 1. Let t be k(16). Solve -2*d + t = p, -4*p - 6*d = -2*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 0*a - 1 = -5*a, 4*u + a - 11 = 0. Suppose -u*i = -j + 42 + 4, 40 = -4*i - 4*j. What is the units digit of ((-4)\/(-5))\/(i\/(-35))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 76 + -4028?\nAnswer: -3842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the second derivative of -z**4\/12 + z**3\/6 + 51*z**2\/2 - 9*z. Let q = 2 - 2. Is w(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -299 or -295?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1967 - 161699 = -54*k. What is the highest common factor of 261 and k?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -14*j**3 - 5*j**2 - 23*j - 45. Let s be l(-2). Is s less than or equal to 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 1) + 5\/(250\/70)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -3*l**2 - 2*l + 5. Let m(x) = -x**2 - x + 1. Let f(g) = -4*m(g) + u(g). Suppose 4*b - 4*q = 0, 2 + 7 = -5*b - 4*q. What is f(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21435 times -5?\nAnswer: 107175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8145342?\nAnswer: 2, 3, 452519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20 + 2022022000111?\nAnswer: 2022022000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.388 + 0.088. Let l = m + 3.3. What is the biggest value in l, 8, 0.04?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 - -29. Suppose 72 = -4*c + 8*c. Let v be (-4)\/c + (-23)\/n. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f - 7. Let q be b(9). Suppose q*k = k. Let x(u) = -u + 1. Let v be x(-1). Solve 3*t - 14 + v = k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - z + 3)*(-4 + 0 + 5)*(-5 + 4 + 3).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 45 = 5*h, 0 = -13*b + 9*b + 3*h + 50 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -18*h + 1. Let n(l) = l + 5. Let p be n(-12). List the prime factors of u(p).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.017, 2, 5, 1352936?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-19)\/(-6))\/(48\/(-6588)). Let i = 434 + t. Calculate the common denominator of (-6)\/20*(20 - 2) and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -280 divided by -14743?\nAnswer: 280\/14743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 2*l**3 + 50*l**2 + 39*l - 318. Calculate d(-24).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 65 - 45. Suppose -69*g = -67*g - 150. Let k = g - 68. What is the lowest common multiple of k and j?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 48*h + 5*x + 293, 386*h - 384*h = 5*x - 7 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 956742.\nAnswer: 2, 3, 159457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2582572, -5165148, -7747724, -10330294, -12912852, -15495392, -18077908?\nAnswer: -20660394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4.144942 litres?\nAnswer: 4144.942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of -y**6\/60 + 5*y**3\/2 + 4*y**2. What is the derivative of j(b) wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g - 95 - 33. Let j = -16 - g. Let u = 103 + -63. Calculate the greatest common factor of j and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + g = -5, 3*x + g = 2*x + 3. Solve 0 = x*m - 10 - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 99251301 and 33?\nAnswer: 1091764311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h**2 + h - 1. Let y(u) = -18*u + 16. Let p be y(1). Let s be l(p). Solve -4*g - a - 2*a = 8, -s*g - 9 = 4*a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 + 7*y + 2. Let u be k(-7). Suppose -2*i + 5*n = -75, 43 = -3*i - u*n + 146. What is the remainder when i is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - 0. Let t(r) = -r**3 - 12*r**2 - 12*r - 10. Let i be t(-11). Let k be 1*a\/(i + -2). Solve k = w + w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-4))**(-2\/43))**(9\/2) assuming f is positive.\nAnswer: f**(36\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*u - 9 = 431 + 37. Calculate the smallest common multiple of u and 284.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -5*x - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 - 8*m - 25. Let r be q(-5). What are the prime factors of (-5968)\/(-20) + -5 - (-4)\/r?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/(-3) + (1 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 3 + 1)*(x - 2*x + 2*x) + 3*x + 12 - 6 - 7 in the form u + v*x and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 407 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 37 + -36.999999494. Round n to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8207 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: How many meters are there in 0.7073643 centimeters?\nAnswer: 0.007073643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 90 and 2385.\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7313.435 litres in millilitres?\nAnswer: 7313435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 323 is divided by 151?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.16004 - 0.09181. What is u rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -7 - 51\/12*-2. Factor -3\/2*o**2 - g + 15\/4*o.\nAnswer: -3*(o - 2)*(2*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 262 a factor of 169413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 276 + -172. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.253 + 0.203. What is the nearest to -1 in c, -1, -0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.3 + -0.7. Let s = -17585 - -17594. Sort s, -3\/2, u in ascending order.\nAnswer: u, -3\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.146*-4\nAnswer: 0.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 22, 183, -2, 0 in increasing order.\nAnswer: -3, -2, 0, 22, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.129?  (a) -3\/5  (b) -4\/9  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 2*n - 49. Solve -n*k = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 344114 (base 6) to base 12.\nAnswer: 1503a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6316.\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 PM and 11:24 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 221130945, 221130946, 221130947?\nAnswer: 221130948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*s + 5 = -60*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 2441.865nm?\nAnswer: 0.000000002441865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 393 = 2*j, j + 4*u - 2*u - 204 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the first derivative of -h**2\/2 + h + 2. Let g be f(1). Solve -2*q + 0 - 2 = g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4772)\/7158)\/((-2)\/26)*-6?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 521796212 a multiple of 974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (3 - 4) + 4 - (32 - (-15 - -42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 67 = 13*o, 53 - 43 = 4*o - 5*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -1889290 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -26237768*u**2 - 14488*u - 2.\nAnswer: -2*(3622*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 1286034 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8)\/68 - 1376\/(-136) - 8. What is the nearest to 1 in 3, -5, 0.7, c?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -100 + 40. Let n = c + 72. Let v = 75 + -30. Calculate the remainder when v is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 130110 + -3?\nAnswer: 130102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11491385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16 - 11. Suppose x*s + 3 - 8 = 0. What is the units digit of (1 - s) + 1*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = -2*j - 99. Let x be (-18)\/(-12)*292\/3. Let u = j + x. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -be2 - -3?\nAnswer: -bde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-66*a + 854*a + 909*a + 704*a)*(-a**3 + 0*a**2 + 0*a**2).\nAnswer: -2401*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10331 + -21?\nAnswer: 10310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.5 in 4, -418, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/3*n**2 + 10\/3*n - 8\/3 = 0. What is n?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u - 6*u = 20. Suppose u*s - 3*s = 167. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30104 smaller than 30106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22206573 divided by 21.\nAnswer: 7402191\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 818 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -23c (base 16) in base 15?\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -1.9. Let z = 44 - 48. Which is the second smallest value?  (a) -4\/7  (b) q  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/1652 and (-418)\/156 + 14*(-12)\/1092.\nAnswer: 4956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35 and 4480?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1563 (base 16) in base 2?\nAnswer: 1010101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -116*v + 149. Suppose 3*t + 47 = 5*y, -5*y = 4*t - 3*y + 28. List the prime factors of c(t).\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 64 + -59. What is the lowest common multiple of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2 + 28*u - 237. What is the remainder when 100 is divided by q(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16.9 + -13.9. Which is the second biggest value?  (a) 2\/5  (b) 17  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/220*(32 + 2). Let d = 144 + -1583\/11. Let q = d + i. Which is smaller: q or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0239932 less than or equal to -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, z: 2, y: 2, a: 4, s: 2}. Give prob of sequence zsz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of b**8\/10080 + b**6\/144 - 7*b**5\/60 + 5*b**2. Let x(m) be the third derivative of q(m). Differentiate x(c) wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -68 - -72. Suppose 3*x - a*z - 47 = 180, 0 = 3*x - z - 212. Calculate the least common multiple of x and 24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 3*g**3 - 17*g**2 - 80*g - 13. Let o be s(16). Suppose 562*t - o = 555*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1017 + 1053. Solve -4*q - v + 32 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence drd when three letters picked without replacement from {d: 4, n: 1, r: 2, h: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of m**5\/20 - m**4\/2 - m**3\/6 - 9*m**2\/2 + 19*m. Let p be u(9). Let x = -149 + p. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**4\/w)\/w*w\/w**(-4))**(1\/21) assuming w is positive.\nAnswer: w**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 74158.47 decades to millennia.\nAnswer: 741.5847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 3*v + 4*w = 9*v - 5*v - 16, -3*v = -14*w - 26 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2382561, 2382562, 2382563?\nAnswer: 2382564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1098960 and 165?\nAnswer: 12088560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.001 * -0.2.\nAnswer: -0.2002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*x = 27*x + 27. What is the greatest common divisor of x and 76?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 21  (b) 366  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by -247.\nAnswer: -6\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1384645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*z + f = 39 - 16, -5 = 5*z + f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 21 - (-17 + 36) - (-1 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**7*n*n)**(-5)*(n\/n**(-26))\/(n**1\/n))**25 assuming n is positive.\nAnswer: n**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 34 = 20. Let l(v) = v**3 - 11*v**2 + 11*v - 8. Let g be l(10). Calculate the greatest common factor of s and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*m + 12*m = -32. Calculate the smallest common multiple of 20 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 10*v**3 + 6*v**2 + 13*v - 6. Let k(c) = 19*c**3 + 11*c**2 + 26*c - 11. Determine -6*k(h) + 11*z(h).\nAnswer: -4*h**3 - 13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(3\/(-30)*-5*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 k, and 1 w when three letters picked without replacement from wpdpdwpkpdpdp?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1614 divided by 2.\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4442, -36262, -122800, -291416, -569470, -984322, -1563332, -2333860?\nAnswer: -3323266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1509 or 1506?\nAnswer: 1509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 168104*z**2 - 34*z - 3. Is c(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2*v**2. Let p(a) = -1070*a. Give p(y(m)).\nAnswer: -2140*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + -7. Let q = d - -2.8. Sort -3, q, 3\/7 in descending order.\nAnswer: 3\/7, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.144 + -0.056. Let w = -7 + 6.7. Which is the nearest to 2\/7?  (a) r  (b) 2\/13  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (57*x - 2678 + 2678)*(0*x**2 + 24 - 8 - x**2) as d*x**2 + a + m*x**3 + q*x and give m.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 2*j - 2*o + 90, 4*j + 4*o + 180 = 0. Let s = 65 - j. What is the greatest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (28\/(-8) - -3)\/(1\/(-18)). Let o be ((-2)\/(-9))\/((-14)\/(-21))*v. Let t = 2.6 + -3. What is the smallest value in o, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -0.4  (b) 2\/31133  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 20 and -2\/3251785.\nAnswer: 3251785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 12 + 105 = 0. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 3:13 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:32 PM and 11:00 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -130, -271, -422, -583, -754, -935?\n\"Answer: -5*p**2 - 126*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*s - 10*s - 10*s - 8*s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18?  (a) 2\/5  (b) -16  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2405, -3, -2, 8 in decreasing order.\nAnswer: 8, 2, -2, -3, -2405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of 17*v**8\/21 + v**5\/60 + 21*v**4\/8 + 6*v**2 - 59. What is the third derivative of t(p) wrt p?\nAnswer: 16320*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12682 + -329799\/26. Suppose 3*g + 5*d - 101 = 0, 3*d + 25 = -2*d. Find the common denominator of 4 + -4 - 51\/g and r.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 PM and 3:33 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45747830 is divided by 9149565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-236)\/(-36) + -7?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -85744*q**2*u**2 - 7*q**2 + 27*q - 2*u**2 + u - 133 wrt u.\nAnswer: -171488*q**2*u - 4*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (4 - (-2 - -1) - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3 - 3*v + (1 - 3 + 0)*(3*v + 7 - 7).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 18*w**2 + w + 1. Let r be a(-1). Let q be (-1)\/((21\/6)\/(-7)). Let l be 21*6\/(q - 1). Calculate the greatest common factor of r and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -3*h**2. Let r(n) = -38*n - 47*n + 86*n + 71. Determine u(r(l)).\nAnswer: -3*l**2 - 426*l - 15123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 4*a**3 + a**2 + a - 2. Let l be z(1). What is the second derivative of 5*r**l - 4*r**4 + 5*r - 2*r + r**4 wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2973*h - 1505 = 2938*h. Solve h - 3 = 10*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from jtjjtjtjttjj?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1  (b) -11\/8  (c) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 62, 126, 188, 248, 306, 362, 416?\n\"Answer: -j**2 + 67*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, k: 3, g: 1, r: 1, w: 2, i: 1}. Give prob of picking 1 h and 1 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 105 + -102. Suppose 3*u + 5*z - 54716 = 9*z, -3*u - d*z + 54723 = 0. Round u to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-810)\/36)\/(20\/4))\/(((-4)\/2)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 467*f - 465*f = -4*w - 26, 4*f + w = -17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*m - 111 = 10*m. Let w = 101 + m. Suppose 4*h - w = -10. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 16*c**2 - 167*c - 16. What is i(9)?\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/57012384 and -93\/4576.\nAnswer: 57012384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1738 = -3*s + 902. Suppose 11*q - s = 6*q. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1705 + 1833. What is the highest common divisor of r and 10624?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 33 = -3*d + 2*s, 5*d = 3*s + 23. Let l = 10 - d. Suppose -2*m = -2*a, -4*m - 5 = 5*a - 14. Put 0, 4, l, a in descending order.\nAnswer: 4, l, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 9 - 3 = 0. Suppose 2*t = 4*t + 4*d + 130, 150 = -3*t + y*d. Let i = t - -52. Put 5, -22, i in decreasing order.\nAnswer: 5, i, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7012811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 729 and 9273609?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1145 is divided by (-36)\/20*((-196)\/3 + (-12 - -19))?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2062400 rounded to the nearest 10000?\nAnswer: 2060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1371060.\nAnswer: 2, 3, 5, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3416343 and 5.\nAnswer: 17081715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*n + 28*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 9.1 times 4.5317\nAnswer: 41.23847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/4790259 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -q + 3*q. Let p = -1529 - -1529.1. What is the closest to 0.1 in -0.3, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 2*c + 2*g, 0 = -c + 6*c + 2*g - 50. Suppose 2*r + 3*y = 6, 5*y - c = y. Suppose -3*m + m + 4 = r. Solve 2*i = 3*i + m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 994 and 1562.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -84965.5 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 162*l**3 - 5*l**2 - 1901*l + 1907. Determine g(1).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 952078841 to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 4*w**3 - 680*w**2 + 18*w - 2455. Give s(170).\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + -10022102101222111?\nAnswer: -10022102101222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -179 and 5.24131907.\nAnswer: -173.75868093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2332 divided by -5084?\nAnswer: -583\/1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.532468 millennia?\nAnswer: 532.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 625 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j + 8 = -7*j + 2*y, 2*j + y = 4. Solve -2*p - 4*v + 2 = -20, 3*p - 2*v - 9 = j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 3*l - 2 = 0, 0 = -2*i + i + l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/18 and -17\/6598.\nAnswer: 59382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 32 + -20. What is the smallest common multiple of 19 and 6\/4 + m\/(-24)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 584 a factor of 9132829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (-33)\/(-3) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-267 - -254) + (2 - 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 145780247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: -329c4b (base 15) to base 13\nAnswer: -666137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 7*w**2 + 2*w - 4. Let q(y) = -8*y**2 - 3*y + 6. Let o(a) = 3*m(a) + 2*q(a). Let z(t) = 10*t**2. Determine z(o(r)).\nAnswer: 250*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q**2 + 2472342*q - 509372913747 = 0 for q.\nAnswer: 412057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -43 - -72. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*((-63)\/(-85) - 20\/25) + (-4888)\/221.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11880 and 4320?\nAnswer: 47520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -435*l**3 - 32*l**3 + 1207*l**3 + (13 - 7*l - 13)*(0*l**2 + 2*l**2 - l**2) to u*l + d*l**3 + z + o*l**2 and give d.\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -34*g**2\/3 - 112*g\/9 - 10\/9.\nAnswer: -2*(g + 1)*(51*g + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(448))*5 + 5 - 3*(sqrt(448) + sqrt(448) + (sqrt(448) - (sqrt(448) + -2 + sqrt(448) + 3 + sqrt(448)))))**2.\nAnswer: 640*sqrt(7) + 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*g + 4*g + 0*g + 7*g - 2*g - 4*g + (2 - 1 + 1)*(0*g - 4*g + 3*g).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 3*c**2 + 478. Does 7 divide r(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0331474 take away -8743980?\nAnswer: 8743980.0331474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -201 + 152. Let q be (-17654)\/h - (-18)\/(-63). Calculate the greatest common factor of 100 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 <= -78060369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 3 - 6) + 4 + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -242 - -1379. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15a7 (base 11) to base 2\nAnswer: -100000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/195 and -13\/4270?\nAnswer: 166530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10010000101011 (base 2) to base 11.\nAnswer: 6a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1152*k = 1142*k - 70. Let s(h) = h**2 - h + 1. Let m = 0 + 1. Let q(j) = -7*j**2 + 2. Let b(g) = m*q(g) + 6*s(g). Give b(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -5*b**2. Let i(v) = 5*v**3 + 2*v - 1. Let w be i(1). Let h(g) = -10 - 2*g + w*g + 10. Calculate t(h(n)).\nAnswer: -80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -716.93 * -80.\nAnswer: 57354.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 176\/2728 - 86535764\/124 - (-2)\/(-2). Round j to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -t - 0*t. Let j = -4 - -6. Suppose -j = 3*r - 4*r. Solve t*h + 2*b = 8, 0*b + 2 = 2*h + r*b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2a4 + -43b?\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.274756 minus 524882?\nAnswer: -524882.274756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 19*b - 13*b + 33*b)*(2 - 2 + 3).\nAnswer: 3*b - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 + y**2 - 2*y - 1. Let t(q) = 6*q**3 + 5*q**2 - 489*q - 314. Let f(m) = -t(m) + 5*v(m). What is the derivative of f(g) wrt g?\nAnswer: -3*g**2 + 479","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 0.2, 442\/11?\nAnswer: 442\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21390 and 11245620.\nAnswer: 348614220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 - 4*z + 14. Give v(11).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*v = 16*v + 392. Suppose -v*o = -34*o + 18. Solve 6*m - o*m - 6 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -38*n**3 + 2*n**2 - 342?\nAnswer: -114*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 6*m - m**2 + 3*m**2 - 2*m**2 + 6 + 2*m**2. Suppose 5*p = 66*a - 71*a + 165, 0 = -3*p + 3. What is the lowest common multiple of a and c(-4)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -335 - -2?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 58381*d*s**2 + d*s + 6*d + s + 13 wrt s?\nAnswer: 116762*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 5, -5, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0*(6\/36)\/1. Let a(q) = 6*q + 90. Let c be a(r). What is the greatest common factor of c and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -6) + (-16 - -7 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38069.\nAnswer: 38069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 + 26*g - 117. Calculate h(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -108801 (base 12) to base 9.\nAnswer: -441781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 5) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (15\/(-45))\/(1\/3). Which is the nearest to 2?  (a) m  (b) 0.42  (c) 2\/3  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(4*(sqrt(2548) + 2) + -2 + (sqrt(2548) - (5*(sqrt(2548) + 2) + sqrt(2548) + sqrt(2548)))*-3)**2*2.\nAnswer: -9876224 - 177408*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-29)\/(3248\/196)*10\/840.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33375109.\nAnswer: 33375109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*u + 2*u + 4*u)*(3 - 3*u - 3)*(3*u**3 - 3*u**3 - 2*u**3).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 1\/12, -2, 4 in decreasing order.\nAnswer: 4, 1\/12, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + r = -4, 0*r + 20 = -5*w + 4*r. Let m = 0.034 - -0.066. What is the nearest to m in 0, -0.5, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + 11*m - 12. Let z be i(8). Let u be ((-476)\/(-8))\/(-7) + (-6)\/(-12). Let c be 12\/3 + 0 - 80\/u. Is z at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19 + (-623)\/(-35))\/((-6)\/(-50)) - 24737\/(-2465)?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5230?  (a) -2  (b) -67  (c) 580\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 3*g = -0*t - 18, 14 = -t - 4*g. Suppose -t*z - 9 = -3*z. Let b(f) = -2*f + 19. Let v be b(z). Solve h + 4 - v = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4, n: 1, p: 1, o: 2, x: 1}. Give prob of picking 1 p, 1 x, 1 o, and 1 n.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1922489\/105 + -18310. Calculate the common denominator of z and 1\/2037.\nAnswer: 10185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1864 divide 1750136469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(110) - (sqrt(110) + -3*sqrt(110))) + sqrt(110) + sqrt(110))*3 - sqrt(110) - sqrt(110))\/(-5*sqrt(50)\/sqrt(5)).\nAnswer: -13*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -852 or -676?\nAnswer: -852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as 1947221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3750554.\nAnswer: 2, 1875277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 2*y**2. Let m(x) be the first derivative of -39*x**5\/20 + x**2 - 63*x - 31. Let r(n) be the second derivative of m(n). What is t(r(g))?\nAnswer: 27378*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 4*o - o = 2, -3*o = 2*l + 2. Let f = 9 + -5. Let j = 3.7 - 4. What is the nearest to -1 in f, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 502.6013 times -10?\nAnswer: -5026.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 13950 - 17942 = 7*n, -3*m = 5*n - 95754. Round m to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-1017951.\nAnswer: 203590.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the first derivative of 5*c**4\/12 + 10*c**3\/3 + 15*c**2\/2 - 9*c + 19. Let h(v) be the first derivative of j(v). Factor h(r).\nAnswer: 5*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(19\/5))**(2\/5)\/(a**(-10))**0 assuming a is positive.\nAnswer: a**(38\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of -d**8\/2016 + d**7\/420 - d**6\/360 - 7*d**2\/2 - 12*d. Let x(r) be the first derivative of m(r). Factor x(j).\nAnswer: -j**3*(j - 2)*(j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000315 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z + 40 + z + 40 - 80.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -2.5, 1, 2939?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 78*i**2 + 77*i - 75. Does 10 divide o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36.58202 centuries to decades.\nAnswer: 365.8202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 0)*(-15 + 5 - 6)*(2*p - 3*p - 2*p) + (2 - 5 + 2)*(p + p + 0*p).\nAnswer: -50*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*z**3 - 118*z**2 + 124*z**2 + 31 + 101*z**3.\nAnswer: 130*z**3 + 6*z**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4}. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*x + 0 = -0 - 0. Determine n so that -8\/9*n**3 + x - 2\/9*n**4 + 2\/9*n**2 + 0*n + 8\/9*n**5 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -12*1*(4\/12)\/(-1). Solve l*h - 9 = -3*c, -3*c + h + h = -9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 10*s - 20. Let g be 1 + (-172)\/(-22) - 24\/(-132). Let c be (g - (9 + 0)) + 4*-1. Let l be p(c). Round l to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 420*w = 3*m + 425*w - 25925, -4*m = 2*w - 34562. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15 - 11. Suppose v*k - 908 = 872. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 656 = -2*o, -o + 14 = -a - 315. Is o a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10 - 22. Let v = a + 60. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27 + -12. Suppose -4*n + q = -n. Let k = 3 + 1. Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.3243 and 3.\nAnswer: 3.3243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 + -10. Let k be 2\/(-6) - 55\/15. Let v(m) = -m - 4. Let o be v(k). Which is bigger: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 3*l - 2*l + 4 - 2. Give v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**2 + 45655*d + 45660.\nAnswer: -5*(d - 9132)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*l*p*w - l*p - l*w**3 + 2*l*w + 4*p*w**3 - 4*p - w**3 - 2*w**2 wrt w?\nAnswer: -6*l*w + 24*p*w - 6*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 7159, 14319, 21479, 28639?\n\"Answer: 7160*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*l**3 - 40*l**3 - 10*l**2 + 0*l**3 - l**3 wrt l.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -46662 - -46651.00074. Let p = 15 + -4. Let s = g + p. Round s to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/807170 and 59\/10010.\nAnswer: 8878870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-564)\/60 + 10\/(-100) + 12\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**3*w)**(6\/19)*(w*w**(2\/7)\/w)**(-3) assuming w is positive.\nAnswer: w**(-156\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -34 - 42*n + 22*n + 6 - n**2. Let z be r(-18). Let d(j) = j**3 - 9*j**2 + 19*j - 3. List the prime factors of d(z).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1.60124, -2, -3\/5, -7, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 5, 899, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40)\/(-34)*(51\/(-34))\/((-30)\/(-4)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3379, -13533, -30451, -54127, -84555, -121729?\n\"Answer: t**3 - 3388*t**2 + 3*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 572*m + 280. Let t(b) = 571*b + 279. Let n(k) = 3*t(k) - 4*u(k). What is the first derivative of n(a) wrt a?\nAnswer: -575","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 0*d - 3 = p, 3*d - 37 = -5*p. Let n be (13 + -1)\/d + -2. Which is smaller: n or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002427414865 to 6 decimal places.\nAnswer: -0.002427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 3427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 49 and 586579?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 713981139 to the power of 1\/3, to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 2, 39, 13969?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 11 + 430*c + 13 + 73*c to the form j*c + z and give j.\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2*r**2 + 82*r - 280. Let f be g(39). Round f to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1144817929?\nAnswer: 593, 1930553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 51285308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = t - 7. Let q = t + -13. What is the remainder when q is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14505 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 630 minutes after 2:29 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 30 - 19. Let y(f) = -f**2 - 3*f - 157. Let u be y(0). Let r = u + 221. What is the remainder when r is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 5*a + 2. Let n(r) = r + 3. Let x(u) = -u + 2. Let p(l) = -2*n(l) + 2*x(l). What is 3*o(q) + 4*p(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/420 and -19\/11370.\nAnswer: 159180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 14*v**2 - 298*v + 84 = 0.\nAnswer: 2\/7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 78 = 4*p + 2*f, 3*p - 254 = -2*f. Is 1\/(2 + (-172)\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 - 13a?\nAnswer: -13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kqgckvug. Give prob of sequence gcuk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -69*b + 5132. Is b greater than 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -15  (b) -1\/3  (c) 2\/9  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y**(1\/4)\/y))**24\/(((y*y*y**16)\/y)\/(y\/(y\/(((y\/y**(-2\/57))\/y*y)\/y*y))*y)) assuming y is positive.\nAnswer: y**(1541\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 217*c**3 + 5*c**2 - 2. Determine l(1).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/(-108) - 1\/(-3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, 16, 29, 44, 61, 80?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 93.93146mg in micrograms?\nAnswer: 93931.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (-7 - -9 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -1) + (4 - 10) + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19188*n**3 - 38382*n**3 + 19197*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.07 - 0.04. Let z = r + -0.02999886. Round z to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/12*(-1 + 1). Suppose c + 0*t - 4*t - 7 = k, -4*t = -4*c + 28. Is c not equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.06, -8, 45 in descending order.\nAnswer: 45, 3, 0.06, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -91*f - f - 93*f - 97*f in the form x*f + t and give x.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-272)\/40 - 3\/15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r*r**33*r)\/r)**(3\/13)\/(r**(-40)*r*r\/r**35) assuming r is positive.\nAnswer: r**(1054\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(744\/16) - (-912)\/(-93)*-41. Solve -24 = 54*p - h for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/2)\/((-375)\/100). Let a be (-1)\/((-4)\/(-8) - 0). What is the third smallest value in z, a, -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (((sqrt(114)*2 - sqrt(114)) + sqrt(114))*-1)\/(sqrt(600)*-1))**2.\nAnswer: -2*sqrt(19) + 644\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 505113?\nAnswer: 3, 7, 67, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-848)\/(-14) + (-20)\/35. What is the greatest common factor of t and 1692?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66666 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (2*sqrt(1600) + sqrt(100)*5)\/((sqrt(25) - 1*sqrt(400))\/sqrt(5)) + -4.\nAnswer: -26*sqrt(5)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -56\/5  (b) 2\/11  (c) -3  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 + 4*z - 1. Let b be o(5). Let m(w) be the first derivative of w**2\/2 + 12*w + 6. What is the units digit of m(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*u = 15*u + 2. Suppose 5*b + u = 17. Solve -b*l + 3 = -0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.1 + -5.12. Which is the closest to f?  (a) 1\/3  (b) -0.3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*v + 3*p = 20*v - 57, 0 = -3*v - 3*p + 48. What is the smallest common multiple of 27 and v?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 133681?\nAnswer: 37, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xggxxxxxxg. What is prob of sequence xxxx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*k - 54*k - 111 = -7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, z: 3, o: 3, h: 10, d: 1}. Give prob of sequence hd.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 3 = -7. Solve -g - 12 = x*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -113 - 1222?\nAnswer: -1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 155 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 563 + -541. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ftshfhsshtstsstzfzzz. What is prob of sequence sz?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3027?\nAnswer: 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**2 - 739*k + 132212. Give h(435).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*m - 199 + 178 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 + 9*r - 6. Let t be d(8). Suppose -g = 4*o - 1350, o + 5*g = t*o - 327. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -3 + 0 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 140909592?\nAnswer: 2, 3, 23, 397, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -5*g + 3*g - 3*g + 2*g. Let l(k) = 0 + 0 + 0 + 2*k**2. Let m(h) = 2*h**2. Let d(b) = -3*l(b) + 4*m(b). Calculate v(d(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4128 + 12b?\nAnswer: -3cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 553.2 - 553. What is the nearest to i in 0, -29, -5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1830952 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 74\/1073 + 5061\/203?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 426 = 476. Suppose -15*a + 44 = -v. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1808 - 799. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3.8  (b) -20  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwywywurluryurrrlrrw. What is prob of picking 1 y and 1 u?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3\/4 - -13\/28. What is the biggest value in -1\/2, h, -18?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -26d + -31808?\nAnswer: -31a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 11*q**4 + 2*q**3 + 2*q**2 + 28. Let d(l) = 111*l**4 + 21*l**3 + 21*l**2 + 279. Let n(u) = 2*d(u) - 21*r(u). Differentiate n(f) wrt f.\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 979492 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from aakbg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1164622207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 + 15*x**2 - 52*x + 21. Determine l(11).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 11*w - 2. Let z be ((-51)\/2)\/(-3) - (-12)\/(-24). Suppose 18 = 6*m - z*m. Let t be n(m). Calculate the highest common factor of 144 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -3*f**4\/2 - 14301*f**3 - 4651344*f**2 - 512196291*f - 37750718493\/2 = 0.\nAnswer: -9201, -111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*l**5 + 2*l**5 + l**5 + (-4*l**4 + l**4 + l**4)*(l - 5*l + 2*l) + (l**3 - 5*l**3 - 5*l**3)*(2*l + l - 5*l)*(-3*l - 2*l + 6*l).\nAnswer: 20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 316230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.3632 - -0.0632. Let j be (-2)\/42*(3 - (-1 + 1)). What is the third biggest value in 36, j, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 3. Let n = 0.352 + -0.452. Let o = -1.92 + -0.08. Sort n, 0.2, f, o.\nAnswer: o, f, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -460 - -1565651?\nAnswer: 1565161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6049 divided by -5?\nAnswer: -6049\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eewe when four letters picked without replacement from weewee.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -418.2 + -7.8. Let t = x - -302. Let y = -124.126 - t. What is y rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 53 - 47. Let x(d) = -d**2 + 5*d - 4. Calculate x(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 + 52*q + 667. Calculate g(-27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*q - 17 = 19 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9 + -b4?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1568527895 to the power of 1\/4, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/(-3))\/((-20)\/15). Let s(n) = -n**3 + 9*n**2 + 3. What is the remainder when s(4) is divided by (-1 - h)\/(18\/(-153)*1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 446*p = 326*p + 1560 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -695.254 - -0.254. Let l = -694.659 - z. Round l to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the first derivative of d**6\/360 + 11*d**5\/120 + 5*d**4\/24 - 163*d**3\/3 - 115. Let p(i) be the third derivative of b(i). What is p(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -653*m**2 + 50*m**2 - 994*m**2 as t*m + w*m**2 + a and give w.\nAnswer: -1597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3626, -5, 2\/5, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3442 = -697*x + 7013 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 3*l + 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 1166*z**5 + 7*z**2 + 84*z - 5. Let q(g) = -777*g**5 - 5*g**2 - 56*g + 3. Let l(c) = -5*o(c) - 7*q(c). Find the second derivative of l(t) wrt t.\nAnswer: -7820*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*u + 0*u - 13833*b = -3*u - 13836*b, 48*u = -5*b - 43 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -342 + 514. Suppose 6*p + g = 10*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115798 is divided by 23061?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 337\/17 - 109\/327*60.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16.8 * 0.2.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -726\/5 in 2\/21, 0.1, 35\/143?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -80889*f**6*k - 300*f**4*k + 31*f**2 - 343289*k wrt f.\nAnswer: -9706680*f**3*k - 7200*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*v**2 - 25*v**2 + 35*v**2 - 24*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1552 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the third derivative of b**8\/80640 - b**7\/20160 - b**6\/1440 + b**5\/30 + b**2. Let d(l) be the third derivative of t(l). Solve d(m) = 0 for m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {a: 1, k: 4, t: 2, c: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vyvvvyvyvy. What is prob of picking 2 y and 1 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 765966 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 + 13. Solve 5*i - 20 = 5*n, -n = i - 0 - p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - 5*r**2 - 3*r - 1. Let f be t(-3). Suppose 6*m - 2*m = -76. Let c = f - m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 525449.5 millennia to centuries.\nAnswer: 5254495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -3. Let s(m) = -9*m. Let x be s(o). What is the units digit of -4*(-2 - x\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/12 and (707\/63)\/(4 - 6\/1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.989 and -150648.\nAnswer: 148990.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*1\/3*0. Let w(u) = -4*u**2 + l*u - 4*u**2 - 1 - u. Determine w(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, 3, -8572 in decreasing order.\nAnswer: 5, 3, 2, -8572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.94141 - 0.05859. What is the closest to r in 3, -5, 6\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 405845, 811707, 1217619, 1623605, 2029689, 2435895?\nAnswer: 2842247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 61\/2 - 113\/4. Is 1 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 + r + 4. Let z be y(0). Let d(v) = -z + 3 - 2 + 4*v. Calculate d(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37264.54 years to decades.\nAnswer: 3726.454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 - 11*p**2 - 10*p. Let a be d(-10). Let z = a + 3. Suppose -2*t + 18 = -l, t + 0*l = -l + 6. Calculate the remainder when t is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4086*f + 12256*f + 7891 - 4087*f - 4084*f.\nAnswer: -f + 7891","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000531024 to seven decimal places.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1814 by -74.\nAnswer: 907\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 1 + 11, -14 = -3*q - 4*k. Solve -2*u - q = -0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lto when three letters picked without replacement from {f: 1, t: 2, l: 5, o: 7, g: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -74, 0.4, 3, 2, -3\/2, -242 in ascending order.\nAnswer: -242, -74, -3\/2, 0.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 232*z**2 + 2*z - 12. Suppose 3*s + 20 - 24 = 4*v, 5*v - 3*s + 2 = 0. List the prime factors of r(v).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*a**3 - 391*a**2 + 2217*a + 2611 = 0. What is a?\nAnswer: -1, 7, 373\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.9988 from -10274348.\nAnswer: -10274348.9988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -179*w + 174*w + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of c**4\/6 + 11*c**3\/6 - 3*c**2\/2 - 11*c. Does 10 divide d(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s, 1 c, and 1 y when four letters picked without replacement from {d: 1, c: 4, z: 1, y: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 3 - 1)*(c + 0*c - 3*c) - 46*c + 228*c + 29*c to l + i*c and give i.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*j**3*r*v**3 + 160*j**3*r - 24*j**3*v**3 - j**3*v**2 - 3*j**2*v**3 wrt r.\nAnswer: 6*j**3*v**3 + 160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + (6 - 7 - -13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 48.86128 weeks in hours?\nAnswer: 8208.69504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -o**5 - 14*o**3 + 1759*o**2 + 1796469*o wrt o.\nAnswer: -20*o**3 - 84*o + 3518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of -12*g**2 + 0 - 1\/30*g**5 + 0*g**3 + 0*g + 0*g**4. Let m(j) be the second derivative of 5*j**4\/6 - j. Give m(b(d)).\nAnswer: 40*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2954 + 6?\nAnswer: 2960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -203893, -203852, -203811, -203770?\nAnswer: -203729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 216 - 185. Suppose -y*h + 39*h = -992. Let o = 264 + -389. Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0421517 rounded to 3 dps?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + -2. Let c be ((-15)\/(-6))\/(-5)*m. Let o(h) = h + 71. Is o(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/219, 2\/5, 0.1, 2.61 in increasing order.\nAnswer: -2\/219, 0.1, 2\/5, 2.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60, 0, 104, 252, 444?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 314 + -304. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 30634 + -137849. Let w = o + 244215. Round w to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -137, -302, -483, -662, -821, -942?\nAnswer: -1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 77*o + 69*o - 147*o + 16. Let j be k(8). What is the tens digit of ((-138)\/j)\/(24\/(-256))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vee when three letters picked without replacement from {m: 3, c: 5, p: 2, q: 3, v: 3, e: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1646 and -0.2.\nAnswer: -329.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 5 = -3*t. Solve -5*v + 3*w + 10 = -3*v, -t*v = -2*w - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -33, 0.1, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -5 - u**2 + 0 + 4 - 6*u. What is j(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 5*c + 5, c = -w - 3*c - 15. Suppose 0 = -4*z + 3*o + 25, 0 = w*o - 5. Calculate the greatest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36 - (-18 - -7 - (-6 + -15 + 23))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 561\/(-2992) + (-5658)\/(-32)*(-8)\/(-120).\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 + -15. Let w = i - -15. What are the prime factors of (1 - w) + 3 + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 7\/25 of a tonne?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 197 divide 19663007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2159, -4315, -6469, -8621, -10771, -12919?\n\"Answer: k**2 - 2159*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 1 = 11. Let a be (-2 + 4)*2\/l. Let y = a + 6. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 25 = 4*h - 107, h - 3*p - 23 = 0. Let r be 2\/(-2)*-1*-3. Let i be h\/r*18\/(-15). Solve 0 = 3*b - m - i, -2*m - 9 = -2*b - 5*m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-3906)\/(-28))\/93)\/(45\/6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0974 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -4*f**2 + f**2 + 13*f**3 - 8*f**3 + 2*f - 3*f**3 - 4. Let w be u(2). Let p(v) = v**3 - 5*v**2 + 6*v - 6. Let r be p(w). Solve -4*g = -6*g + r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of -8\/15*v**3 + 4\/25*v**5 - 3\/10*v**4 + 1\/15*v**6 + 64 + 4\/5*v**2 + 0*v. Find w, given that a(w) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 + 8*m**2 - 9*m + 5. Let h be q(-9). Suppose -4*f - 9 - 6 = 5*t, 25 = -h*f. Solve -u + 0 = -5*i - 3, 3*u + t = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 33*z**3 + 84*z**2 - 163*z + 78. Calculate o(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 2*w**2 - 11*w + 8. Calculate d(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 417 = 5*a + 11*u + 494, -2*u - 14 = -0*a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a microsecond in nanoseconds?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sitiltioiili. Give prob of picking 1 s and 1 l.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9320824?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -269.67, -5, -1\/3, 1\/51 in increasing order.\nAnswer: -269.67, -5, -1\/3, 1\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8500*k - 2*i + 29 = 8505*k, 0 = 3*k - 5*i + 26 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -51\/2, 197, -1405 in ascending order.\nAnswer: -1405, -51\/2, -5, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 134 a factor of 28810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25 + -25.3. What is the closest to 2 in 0.1, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 9, c: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -17*d - 1. Let z be a(-1). Suppose 2*i - 3*h = 13, -i - 5*h = 2*i + 9. Let k = z - i. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1075023, 1075003, 1074983, 1074963, 1074943, 1074923?\n\"Answer: -20*j + 1075043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*x - 47 + 22 + 8*x - 32.\nAnswer: -x - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 4c445 (base 13) to base 6\nAnswer: 3010205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -648994, -648944, -648894, -648844?\n\"Answer: 50*m - 649044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z + 22*z + 432*z)*(18 + 1 - 7).\nAnswer: 5412*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -174*h**2 + h - 1. Let n be x(-3). Let z = 7824\/5 + n. What is the common denominator of 3\/4 - (-14)\/((-4928)\/552) and z?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 + 3 = -2*g. Let p(y) = -4*y**2 - 12*y + 11. Let m(c) = -c**2 - c + 1. Let j(o) = 5*m(o) - p(o). Give j(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rbflfbbhrrbb. Give prob of picking 1 l, 1 r, and 1 f.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (11 - 9)\/(4\/(-30)). Let o = x - -19. Calculate the greatest common divisor of 8 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10.19 + -10.49. Which is the smallest value?  (a) 6  (b) f  (c) -1  (d) 3  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 270, 604, 928, 1236, 1522, 1780, 2004?\nAnswer: 2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/9 - 1\/(3\/13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (37\/(-111))\/((-21)\/(231\/(-2)))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x = -5*a + 31, 5*x = 5*a - 132 + 102 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -384*o - 19805 + 19805 + 90*o + 95*o + 102*o + 94*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cyy when three letters picked without replacement from {c: 2, y: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -359224, -718445, -1077666, -1436887?\nAnswer: -1796108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3.0748136 * 4\nAnswer: -12.2992544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(-10)*(1\/(-4))\/(16\/1040).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -7450 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -6. Let m(h) = 9*h - 12. Let q(r) = 6*a(r) - 3*m(r). Let y(w) = 80*w. Give -17*q(d) - 6*y(d).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -130 divided by -130.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of -119*w**4\/24 + 4627*w**3\/6 - 4733*w**2. Find the first derivative of g(n) wrt n.\nAnswer: -119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 8*t**2 + 119*t - 2162. Let u be j(26). Calculate the highest common divisor of u and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66 = -193*c - 803 - 228 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, 73, 205, 389, 625?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000756 to six dps.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 131759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u - 2*u + u)*(-177 + 225 + 57*u - 53*u).\nAnswer: 4*u**2 + 48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of -7*k**3\/3 + k**2\/2 + k - 2821. Calculate h(-4).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40485524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 9 + 4*j - 28 + 6 + 2 + 33.\nAnswer: 4*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 547 a factor of 460845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 299, 127, -199, -679, -1313, -2101?\nAnswer: -3043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**2 - 6*a. Let r be t(-6). Let b = -2705\/48743 + 3\/617. Which is bigger: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 341 in -0.2, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2482 + -2505. Let l(j) = -j**3 - 23*j**2 - j - 33. What is l(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 2 r when four letters picked without replacement from {r: 6, h: 10, c: 1}.\nAnswer: 135\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide (-4 + 12)\/((-4)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2096203289 rounded to three dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ksbbbbbbbsbkbb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5005 is divided by 927.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.03, 0, 0.3, -3\/35, -36?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2280.602 litres to millilitres.\nAnswer: 2280602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 371 divide 113114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -1 - (-4 + 0 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 8 = -3*w. Suppose 0*y = w*y + 13000000. Round y to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 0.3  (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 + 1. Let v be (-6)\/p + 2 + -2. Let t = 3482 - 3481.9. Which is the fourth biggest value?  (a) -1  (b) -2  (c) t  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2*u - 4)*(12*u - 40*u - 16*u)*(8*u + 2*u**2 - 8*u) - 2*u**4 + 5*u**4 - u**4.\nAnswer: 178*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-5 + -2 + 7 + 1 - 12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, k: 2, h: 1, u: 4, n: 1}. What is prob of sequence ukuc?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26397937 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2886552 is divided by 743.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jpgmgfjk. What is prob of sequence gj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26951 = -11*m + 29589. Calculate the remainder when m is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*h - 301 = 7*h. List the prime factors of h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 PM and 4:44 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -700309 greater than -699569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2, 160 in ascending order.\nAnswer: 1, 2, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = 4*i + 24, 3*i + c - 2 = -4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-882 + -15 + 12)*(950\/(-6))\/5 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 3805993520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = 5*d + 39, -886*d = -2*u - 887*d - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 39 - 87\/2. Let w = -7220 + 65044\/9. Calculate the common denominator of x and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 33*k**2 + 194*k - 32. Calculate l(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 138621443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**3 - 138757*c**2 + 1804010*c.\nAnswer: -c*(c - 13)*(c + 138770)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 4*t**2 - 2*t. Let z(n) = -12*n**2 + 6*n. Let m = -593 - -590. Give m*z(h) - 8*p(h).\nAnswer: 4*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1725\/(-425)*(-136)\/24?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 4392.1?\nAnswer: -4393.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.371874191 + -6.3719. Round t to 6 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-2) + (-122)\/(-4). Let f(u) = 12*u**3 + 3*u**2. Let w be f(-2). Let v be ((-24)\/(-14))\/((-12)\/w). What is the highest common factor of v and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.57272 and -1050.\nAnswer: -1049.42728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 37 = h - 5, -4*h - 157 = 5*s. Let x = 31 + s. Solve 5*p + 3 = -d - x, -3*p - d = 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-4)*(-12 - (-532)\/42).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2b - 0?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.4, 2, 5, 162, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 154*w**3 + 2 + 763*w**3.\nAnswer: 609*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 114*m**2 - 363 + 93*m**2 - 15*m**2 + 829 + 2*m**3 wrt m?\nAnswer: 6*m**2 + 384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 725027 is divided by 667?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 6569990\/6 + (-444)\/(-666) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110709817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fxflxslxsxff. Give prob of picking 2 l.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86 is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/140)\/(945\/75992). Let o be (-4178)\/(-23100) - (-10)\/(-55). Let n = g - o. What is the common denominator of n and -80\/21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 2\/3  (c) -5\/2  (d) 63.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*j = -97*j. Solve 3*p - z + 2*z + 18 = j, 2*p + 13 = -z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100100 + -111000011011011?\nAnswer: -111000010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**3\/9 - 22*o**2\/9 - 140*o\/9 - 200\/9 = 0. What is o?\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 10*b + 102 = -16*b, -32 = 20*b - 12 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6625045 and 490?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 353 is divided by 95.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17092910?\nAnswer: 2, 5, 23, 74317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2290, -2494, -2988, -3910, -5398, -7590, -10624?\nAnswer: -14638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -0.086.\nAnswer: -1.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pyji when four letters picked without replacement from {i: 3, p: 3, q: 1, v: 1, y: 4, j: 3}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 36155375 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -2.7 times -6181\nAnswer: 16688.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -64 - -68 - (5 - -1) - (-23 - (12 + -22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -672 by 94.\nAnswer: -336\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 137905111403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 257391*o - 85674*o - 85679*o - 86050*o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30785985 divided by -6157197.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + -312?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -2645*l**5 + 16306885*l**4 - 2835920*l**3 + 123300*l**2 = 0.\nAnswer: 0, 2\/23, 6165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -5 + ((-5*sqrt(15)*4)\/((sqrt(40)*1)\/sqrt(8)))**2.\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 4.2  (c) -2\/15  (d) 0.39  (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17 + -10. Suppose -40 = -4*n + 5*v, -4*v = 5*n - v - 13. Calculate the lowest common multiple of f and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23 + 23.1. What is the third biggest value in -0.04, -2, 0, r?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123 = -3*c + 87. Let q = c + -26. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6.08 + -93.08. Which is the third biggest value?  (a) 1  (b) w  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 - u + 3. Let s be o(0). Suppose 5*f = -5*b, 4*f - 7*b + s*b - 8 = 0. Let g(t) = -t. What is the remainder when g(-1) is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 140 + -142 + 5 + -1 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(1\/7)*j*j)\/j**0)\/(j*j*j\/((j*j*j**(2\/11))\/j))**(-20\/7) assuming j is positive.\nAnswer: j**(565\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j + 16. Let a be z(-12). Solve r + d = 11 - 3, -a*r + d + 7 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 - 6*t**2 + t - 3. Let p = 24 - 24. Let s be -4 + 29 - p - 3. Let n = s + -16. Calculate y(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 476 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4 - 1 + 37*q + 27*q**5 - 345*q**5 - 518*q**5 wrt q.\nAnswer: -16720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*v + 36 = -23*v. Let z = 1 - -11. Suppose -10 = -q + z. Calculate the smallest common multiple of q and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 170 - 166. Suppose -8*o + 1104 = t - 5*o, t - g*o - 1097 = 0. Does 116 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 2 = i - 3, u = -5*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 224 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-4 + sqrt(363) + 0 + -1) - (1 + -5 + (sqrt(363) - (5 + sqrt(363) + 1))))**2.\nAnswer: -3850*sqrt(3) + 10300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let b be (((-6)\/12)\/(-1))\/((-1)\/(-68)). Suppose 4*p = 3*t + 52, -b = -5*p - 7*t + 3*t. Let s be 4\/p*(-2475)\/(-1). What is s rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 40, 69?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52 + (147 - (-114 + 267)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 + 18*s - 3. What are the prime factors of w(14)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the third derivative of -2\/3*y**3 - 1\/12*y**4 + 8*y**2 + 1\/30*y**5 + 0 + 0*y. Let u(a) = 0. Calculate a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -183888*n**2 - 183882*n**2 + 367771*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -144039.\nAnswer: 576156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -9, 5, 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 6:47 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1513418039 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m + 2. Suppose 0 = -x + 3*l - 6, -3*x - 22 + 4 = -2*l. Calculate u(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.097 - 3.797. What is the nearest to -7.4 in z, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.4277, -3\/4, -0.1, -1, -4\/5 in decreasing order.\nAnswer: 1.4277, -0.1, -3\/4, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 16 = d, x - 4*x - 4*d = -49. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 362*l**2 - 481?\nAnswer: 724*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 437 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 930 and 85095.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2697*o - 17723 wrt o?\nAnswer: 2697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -25251 by -407.\nAnswer: 25251\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22936, -45895, -68854, -91813?\nAnswer: -114772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5457508\/169362*(-7)\/28. Let s = -4\/9409 - b. Calculate the common denominator of s and -29\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of h**5\/20 - h**4\/2 - h**3\/3 - 2*h**2 - 6*h. What are the prime factors of s(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 - (-6 + 3)) + 0. Suppose -2 = -o - z. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 - 1. Let q(b) = 6*b**2 + 19*b + 3. Calculate -q(h) - 3*w(h).\nAnswer: -3*h**2 - 19*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 98 and 2646.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -35.45 + 0.45. Let w = g - -37. Which is the third smallest value?  (a) 19\/4  (b) w  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -1 - (-67 - -71)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 10161*k**3 + 72*k**2 - 72. Let n(d) = -2032*d**3 - 14*d**2 + 14. Give 7*a(f) + 36*n(f).\nAnswer: -2025*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 15*d + 333. Suppose 0 = 5*t - 2*w + 108, -3*t = -3*w + 34 + 29. Calculate r(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 32, 50, 88, 152, 248, 382?\n\"Answer: p**3 + 4*p**2 - p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, s: 4, j: 2}. What is prob of picking 2 s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 7508 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -8255, -16526, -24797?\n\"Answer: -8271*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 144 and 162.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -63 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 5, -2\/45, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f - 1. Let i be (-2)\/10 - 32\/(-10). Calculate b(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -22 in descending order.\nAnswer: 1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 1)*(2*c + 1 - 1) + (-2 - 1 + 2)*(2*c - c + 0*c) + 0*c + 0*c + 2*c + 17*c + 17*c - 30*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 508*i**3*r*s - 4*i**3*r - 52*i**3 + 2*i**2*r*s - 3*i**2 with respect to s.\nAnswer: 508*i**3*r + 2*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001100100111011101 (base 2) to base 13.\nAnswer: -acac1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.594 + 6.08. Let n = t - 0.485999104. What is n rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 - 1. Let n(x) = 12*x**2 - x - 9. Let d(m) = -18*g(m) + 2*n(m). Let i(u) = 7*u**2 - 3*u. What is 3*d(q) - 2*i(q)?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/(t**(4\/7)\/t*t)*t*(t**(-19)*t*t)\/t)**(12\/19) assuming t is positive.\nAnswer: t**(-1308\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g**3 + 2*g**2 - 2*g - 1. Let b be t(-2). Let a be (1 - 6)\/(b + 8\/2). Suppose 0 = -6*z + a*z + 3785. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21*c - 26*c + 5*n - 30, -2*c + 3*n = 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25.63537m to nanometers.\nAnswer: 25635370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 329 - 85 - 86 - 3*t - 158.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*a + 2*a = -172*a + 21*a - 10241 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -608990 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, 5, -30, -2, 4, -48 in increasing order.\nAnswer: -48, -30, -2, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 - 5*d**2 + 5*d. Let u be t(3). Is 3 - (153592\/(-48) - u\/(-18)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -441*t**4 + 1796 wrt t?\nAnswer: -1764*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/13)*j\/j**(-4\/5))**5 assuming j is positive.\nAnswer: j**(112\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 179225, 358400, 537539, 716642, 895709?\nAnswer: 1074740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 5:20 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -3, 0, -0.17, 1949106?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzdzzzzzzzzd. Give prob of picking 1 d and 2 z.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - 0)*-52 - 3. Let z be ((-4)\/5)\/(22\/o). Solve -5*k + 19 = -z*a, 0 = a - 0 + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -9*n + 2. Suppose 5*s + 4*p + 14 = 2*s, -5*p = -5*s. Let i be r(s). Suppose 32 + i = 4*j. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -16636465*u**2 - 14116184.\nAnswer: -33272930*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8160*l + 4059*l - 3451 = -4220*l for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53817 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -777.772 - -12.02.\nAnswer: -765.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.09 and -239003.\nAnswer: -21510.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 41877.3 nanometers in kilometers?\nAnswer: 0.0000000418773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c23 - -118?\nAnswer: 103b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133*s - 12606 - 2801 = -162*s + 78*s for s.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 222 - 62?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 18*g**2. Let t(f) be the third derivative of f**5\/60 + 2*f**2. Determine i(t(d)).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 4*v + 33 = -4*p, -5*v - 21 = 4*p. Let i(d) = d + 9. Calculate i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 95*h**4 + 236*h**2 + 3266 - 3242 + 124*h - 19*h**4 + 8*h**5 + 204*h**3.\nAnswer: 4*(h + 1)**3*(h + 6)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -348.\nAnswer: 1\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/4*(-23)\/((-1127)\/(-28)). Put -0.5, b, 0 in ascending order.\nAnswer: -0.5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 210 - 184 = 3*o, 2*y = 3*o + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1*3 - 15\/(-5). Suppose a = -4*f - 8, -5*f = -5*t - 4*f + 17. Suppose -2*v - 5 = -t*v - i, 2*i - 2 = 0. Solve 0*b - v = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1034 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 - 13*y + 18. Let l be b(-9). Let u be 26\/(-65) - l\/(-10). Suppose u*g - 3*o - 45 = -0*o, 3*g - 3*o = 27. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5\/5 - (-16)\/2. Suppose 0 = h*i - 14*i + 160. What is the first derivative of -11 - 14 - 3 - 10 - i*y wrt y?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 216492*m**3 + 227877 wrt m?\nAnswer: 649476*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2 - 7*z - 22. Calculate o(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.1 - -0.7. Let h = g - 0.6. Which is the third smallest value?  (a) 0.1  (b) -7  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -s - m - 8441 + 8530, 8*s = 5*m + 647 for s.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzoosttozstooytzo. Give prob of picking 1 t and 1 s.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 2531505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrjrrrrrrjrrjrjrjrr. What is prob of sequence rr?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -31 not equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1309878 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*a + 14*a - 20800 = 0. What is a rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 24\/29 and -36\/18259.\nAnswer: 529511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 24047 (base 15) to base 8\nAnswer: 340201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -227\/5 or -2243?\nAnswer: -227\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 618706 and 138421406?\nAnswer: 1522635466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - (3*-2 - 104\/(4472\/(-1935)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:52 PM and 9:28 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1211031462 is divided by 917.\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of -190.72 and -2.\nAnswer: -192.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -31674175 * 0.4\nAnswer: -12669670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -107756 - 0.5\nAnswer: -107756.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 934 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/8784 and -32\/11205.\nAnswer: 10936080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = -21 + 26 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81304 is divided by 81131.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6569.3, -5, -5\/12, -2\/3, -3?\nAnswer: 6569.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 46*m**5 + 3*m**4 - 24*m**5 + 6*m**3 - 25*m**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2311, -4661, -7033, -9427, -11843, -14281?\n\"Answer: -11*s**2 - 2317*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*a + 1 + 2*a**3 + 1 + 36 - a**2 + a to m + i*a**2 + s*a + l*a**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 PM and 4:25 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4171, -65, 4 in ascending order.\nAnswer: -4171, -65, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -232722 plus 6?\nAnswer: -232716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 27, -10, -55, -114, -193, -298, -435?\n\"Answer: -h**3 + 2*h**2 - 36*h + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.6*-37.\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((60\/14)\/(-6)*(-24)\/(-180))\/(270\/(-4410))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i - 13. Let w be u(18). Suppose 0 = -w*o + 3*o + 20. List the prime factors of (26\/(-6))\/(o\/(-30)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 11*h**4\/12 + 487*h**3\/4 + 15449*h**2\/3 + 67223*h - 37180\/3 = 0.\nAnswer: -55, -52, -26, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 127934 - 78359. What are the prime factors of x?\nAnswer: 3, 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 49, 271, 661, 1231, 1993, 2959, 4141?\nAnswer: 5551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -3*h + 17. Let s = -78 - -83. Let x be y(s). Solve 3*j = 6 + 6, -x*l = -j + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, 2\/3, -7, -3, 2, -1\/7 in decreasing order.\nAnswer: 2, 2\/3, -1\/7, -3, -7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of -k**6\/6 - 71*k**5\/4 + 245*k**4\/4 + 355*k**3\/6 - 365*k**2 - 5*k - 277. Let q(l) = 0. Calculate l.\nAnswer: -73, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(((h*h**(-10)*h)\/h)\/h)*h)\/(h*h**(-19)))**(-17) assuming h is positive.\nAnswer: h**(-510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 + 0. Suppose -1 = -2*d + r. Let o = -3408\/13 - -262. Which is smaller: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-26)*2314\/(-3026)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -416, -1803, -4116, -7355, -11520?\nAnswer: -16611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*d**2*l**4 + 5286*d**2*l**3 + 3*d**2*l**2 + 1802*d**2 - d*l wrt l.\nAnswer: -192*d**2*l + 31716*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 627248 divided by 627248\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 32 + -2 + 1\/1. Let c = n + 14. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -939b91 (base 12) in base 5?\nAnswer: -1043201231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 110*u**5 - 184*u**2 wrt u?\nAnswer: 6600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -109, -100, -101, -124, -181?\n\"Answer: -2*a**3 + 7*a**2 + 2*a - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 367091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*i - 14 = -347 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 - 0. Suppose -n - n = -4*k - 4, k = w*n - 28. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -359 divided by -1088564\nAnswer: 359\/1088564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**3 + 38*g**2 - g - 15. Let t be f(-19). Suppose 0 = v - 0*v + 3*l - 367, -v = -t*l - 346. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fh when two letters picked without replacement from ffhfhfhffhffh?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 10542, 10387 in descending order.\nAnswer: 10542, 10387, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*d - 15*d = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3851418558 + -1413471939691\/367. Let a = -3621 - v. Is a at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/120 and 131\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 - -2. Let b(p) be the third derivative of -5*p**4\/24 - 25*p**3\/6 + p**2. Let x be b(-8). What is the highest common divisor of u and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -13*r + 63. Determine g(11).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 66*i**5 + 39*i**5 - 47*i**5 + (6*i**3 - 10*i**3 - 2*i**3)*(0 + 0 - 2*i**2).\nAnswer: 70*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1e (base 15) to base 6\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90*q - 571 = 1679 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16 + 35. Let m = -16559 + 16677. Suppose o = m + l. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 927571 and -675?\nAnswer: -626110425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -h*s*u - 3*h*s - 177*h*u**2 + 3*h*u + 121*s*u**2 - s*u + 713*s + u wrt u.\nAnswer: -354*h + 242*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 276 = 5*c, 6*a - a = 10. Suppose -c = 142*o - 145*o. Calculate the remainder when o is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 1:23 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*r**6 - 45*r**4 - 2*r**3 + r**2 + 37*r + 2.\nAnswer: 720*r**3 - 1080*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/24833 and -65\/3921.\nAnswer: 74499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1220 + 1220.3. What is the nearest to 1 in f, -4\/3, -25?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15506 - -4137085.\nAnswer: 4121579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 24 = -2*r. What is the units digit of (9 - 12)\/(r\/(-46))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 31202 + 13412. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-3) - 560\/(-12). Let v = 126 + -77. Which is smaller: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120645427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 10349 = -5*s, -2*c = -c + 4*s - 10344. What is the thousands digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -4.297  (b) 0.1  (c) -8  (d) -5  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-seven halves of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1 + 9)\/1)\/2. Suppose n*m + a - 6*a - 763 = 0, 3*m - a - 564 = 0. Suppose -18*z - m = -19*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*1\/21*(810\/(-72) + 13).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 + h - 2. Let w(v) = -v**3 - 17*v**2 - 15*v + 20. Let m be w(-16). Suppose -3*u - 3 = 2*j, 2*j = m*u + 7 - 3. What is s(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes before 1:43 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1251.42+8\nAnswer: 1259.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2059\/3 - 687. Which is the third biggest value?  (a) -4  (b) -0.7  (c) h  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 + 2*p**2. Let r(j) = 3*j**3 - 5*j**2 - j. Suppose 64*b + 435 = 179. Calculate b*r(k) - 11*y(k).\nAnswer: -k**3 - 2*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14 - 20. Let n(s) = 2*s**2 + 12*s - 2. Let r be n(m). Is (3\/r)\/(17\/(-35326)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1969 - -4472. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -220 (base 7) to base 3\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1431 and 22242.\nAnswer: 10609434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-5\/2)*f*f**(-1\/2))\/((f\/(f\/f**(1\/7)))\/(f**4*f))*(f**1*f**(3\/5))**38 assuming f is positive.\nAnswer: f**(2228\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1974974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28 - 26*r**2 + 28.\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = 2*l + n, -3*l - 175 = 115*n - 110*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 1:00 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 2*l - 21, -5*l - 19*g = -15*g - 35. Solve -z - 16 - 3 = 4*a, l*a = -z - 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -462*f + 561*f - 19150 = -284*f for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 76\/304*(2\/(-9) + 80\/360) + -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -632 divided by -4.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooivwiovwo. What is prob of picking 2 i?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -22632596*l**2 - 18504252 wrt l.\nAnswer: -45265192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 5. Let r = k - 1. Let f = r + 0.94. Round f to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -20*v**5 + 2988*v**4 - 107632*v**3 - 297904*v**2 - 94848*v + 92416 = 0.\nAnswer: -2, -1, 2\/5, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(1900)*3 - 4*(1*sqrt(1900) - sqrt(1900)))**2.\nAnswer: 300*sqrt(19) + 17125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15295 is divided by 247.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -41*o - 1976. Let q be m(-52). What is the greatest common divisor of q and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, y: 1, a: 1, s: 3}. Give prob of picking 1 a and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 12. Suppose 106 + 125 = 3*l. Let h = l - 78. Which is the second biggest value?  (a) h  (b) p  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 56562935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 48 + -38. Let p = 14 - j. Suppose 4*d - 2*z = 8402, 7*z - 6297 = -3*d + p*z. What is d rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 25 = -x, -3*w + 36 = -0*x + x. Suppose -39 = -w*f - 2*f. Solve 6 = -f*a + 6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -214*s - 21. Let t(c) = 1284*c + 135. What is 13*d(k) + 2*t(k)?\nAnswer: -214*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 772*d + 587*d - 66591 = 0. Suppose -5*i + 6*i = 92. What is the remainder when i is divided by d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 4 = 0, -5*w + 3*n + 14 + 0 = 0. Suppose 0 = 3*p - w*u - 24, 0 = 2*p - 7*p + 5*u + 45. Let q = p - 17. What is the closest to -0.1 in -1\/4, q, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 + -19.9. Let g = h - -0.6. Put -0.1, -4, g in ascending order.\nAnswer: -4, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*b - 16. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40719, -49263, -57807, -66351?\nAnswer: -74895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -108, -442, -1000, -1782, -2788, -4018?\n\"Answer: -112*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of -4*s + 11*s**2 - 1 + 4*s + 0*s. Let u(n) = -n. Determine o(u(y)).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3*t = 1, -5*t + 11 = -4. Let n(a) = a + 9. Let i be n(z). Solve o + i = -2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7.82 + 0.62. Let p = 4.1 + a. Let s = 2.7 + p. Round s to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 33 = 5*l + 3, -m - 27 = -4*l. Let v(q) = q**2 - 6*q + 1. Is v(l) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -15*g**2 - 2*g + 2. Let r = 238 + -236. Let s(m) = 63*m**2 + 9*m - 9. Let y(n) = r*s(n) + 9*h(n). Let j(d) = 2*d**2. What is j(y(k))?\nAnswer: 162*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 92049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w. Let h(u) be the second derivative of u**4\/8 - 5*u**2\/2 - 4*u. Let d(m) be the first derivative of h(m). Determine d(a(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2\/671 + 22832\/6039. Find the common denominator of h and 19\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2036 - -7858.\nAnswer: 7858.2036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, 0.2, 9, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 230240 (base 5) to base 15.\nAnswer: 2665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 2*l**2 + 5*l + 2. Let o be n(-3). Suppose 19 = -o*m - 11. Does 11 divide 67\/3 - (-2)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -493*u = -477*u - 4544. Calculate the remainder when u is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -5*k + 4. Let t(q) = -4*q + 3. Let m(c) = -3*a(c) + 4*t(c). Let g(s) = 28*s - 71. Let w(o) = -g(o) - 4*m(o). Is w(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 AM and 6:50 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -489059, -489180, -489301, -489422, -489543?\n\"Answer: -121*x - 488938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -2*s**2 + 62*s - 116 = 0?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -968756 + 356854 = 20*w + 654938. Round w to the nearest one thousand.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 364*i - 366*i - 1928 = -46*r, -2*r = -84 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.4+-2.49379527\nAnswer: -2.89379527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 2.2. Let p = 5.8 + h. Which is the closest to -2?  (a) -0.1  (b) -1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -24 + 22 - (-51 - -51 - (1 + -7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 127297638 and 78?\nAnswer: 127297638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 - 2a06b?\nAnswer: -2a06d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uk when two letters picked without replacement from ckuca?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, k: 8, z: 7}. Give prob of picking 2 g, 1 z, and 1 k.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0530687 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 - 7*h**2 + 77*h + 433. Give x(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 140794733191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1059.9997516 - 1060. Round t to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 + 6*h**2 - 4*h + 7. Let w(c) = -27*c - 8. What is the remainder when w(-2) is divided by o(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1517 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 2 + -36 + (-21 - 52) + 72.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-23*18\/(-2277).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30741889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5081779 to the nearest integer?\nAnswer: 2254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of x**4\/6 - x**3\/2 + 7*x**2\/2 + 2*x. Let k be n(-5). List the prime factors of 50\/15*k\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 4*c**2. Let l = -1 + 3. Suppose -l = 4*n + 2*k - 12, 0 = -2*n + 2*k + 2. Let f(w) = -2*w**2 - 3*w**2 + 3*w**n. Give b(f(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4*1\/6 - 7\/(-3). Suppose -3*a + 2 = 4*i + k, 11 = -2*i - 5*a. Solve -1\/2 - 1\/2*m**i - m = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2479 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*g - 65*p + 380, 3*g + 0*g - 4*g + 0*g = -4*p + 9 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 2 = 4*y + 6, -5*q + 2*y + 2 = 0. Let t be -8 - (-3 + (q - -1)). Let v = 31 - t. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/10 or -846?\nAnswer: -846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 962 and 2418?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0022049812 rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 64\/13 + -1. Let r = q - 87\/52. Let x = -1 + 1. Put x, r, 1\/2 in increasing order.\nAnswer: x, 1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -4*r**2 - 1632*r + 8260 = 0.\nAnswer: -413, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -74.7 + 52. Let y = -23 - f. Which is the smallest value?  (a) -0.5  (b) y  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 563254431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/(-6))\/(6\/(-117)). Let k = -11 - s. Is 152\/(k - 1) + 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28 - 7. Solve 2*b = 4, -5*w + b + b + u = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-6) - 0)*26\/65*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 192, 177, 162, 147?\n\"Answer: -15*d + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.396493 milligrams in micrograms?\nAnswer: 8396.493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d. Let s(x) = -x**3 - 6*x**2 - 4*x + 3. Let p be s(-5). Let v(w) = -128*w. Let f(r) = p*v(r) - 224*g(r). Let o(i) = -2*i. Calculate o(f(z)).\nAnswer: -64*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 4*o - n - 5, 3*n + 13 = 5*o. Let u(y) = y + 11 - o*y + 2*y. Does 2 divide u(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -8*f - 24. Calculate z(-12).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/(-15) + 17\/(-35). Let m = -40.5 + 41. What is the second smallest value in l, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4735 divided by -4735?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**4\/3 + 424*g**3 + 191816*g**2\/3 - 1105792*g + 13603328\/3.\nAnswer: 2*(g - 8)**2*(g + 326)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -4*-4*(-3)\/(-12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.45014 - -0.2.\nAnswer: 2.65014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**2 - 2*g - 40. Calculate the remainder when o(14) is divided by 2\/(4 + -2) + 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 99\/40076 and -85\/72.\nAnswer: 721368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(4 + sqrt(20) + -4) + sqrt(45)\/(sqrt(36)\/sqrt(4) + sqrt(9))*3*5.\nAnswer: -9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 13239*h**2*j**2 - 7*h**2 - 7*h + 27 wrt j?\nAnswer: 26478*h**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1867252 is divided by 186.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 94 divided by -4.\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 758.0879 decades to millennia.\nAnswer: 7.580879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 minus 2699304.58885?\nAnswer: -2699304.08885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -74683657 * -2\nAnswer: 149367314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 = 24*r - 28*r + 3*c, 0 = 3*r - c + 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -16 + 4 - -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7633a4 (base 12) to base 15.\nAnswer: -26e9da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14 by 366.\nAnswer: -7\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 4*y - 14. Let q be p(4). Suppose -q*u - 3*o = 133 - 496, o = -3*u + 541. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1000) - sqrt(1000))\/(1*sqrt(2)*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - -355?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 14*w - 23. Let t = 315 + -298. Let p(j) = -5*j + 8. Let i(c) = -5*c + 8. Let o(b) = -5*i(b) + 4*p(b). Calculate t*o(q) - 6*a(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(121)*2*3)\/(sqrt(1331)*-2) - ((sqrt(11) + -4 + (-4*sqrt(11) - sqrt(11)) + sqrt(11) + sqrt(11))**2 - 5*(0 + sqrt(11))).\nAnswer: -60 - 124*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from kqmggm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*v**4 + 180*v**2 - 4*v**4 + 2*v + 1 + 82*v**2 - 70*v**2 - 4*v as n + i*v**2 + x*v**3 + q*v**4 + s*v and give i.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -225 - -25873\/115. Let a = 450854177\/690 - 653412. Let v = f + a. Sort v, -0.1, 1\/5, -0.2 in decreasing order.\nAnswer: 1\/5, -0.1, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 915*k**5 - 4*k**2 + 121. Let r(v) = 914*v**5 - 5*v**2 + v + 120. Let j(x) = -5*i(x) + 4*r(x). Find the second derivative of j(h) wrt h.\nAnswer: -18380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 29\/9 - (-4)\/(-18). Let k(h) be the first derivative of 7\/3*h**s + 7\/4*h**4 + 0*h**2 + 0*h + 5. What is the third derivative of k(t) wrt t?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the second derivative of 77*q**4\/12 + 2028*q. Let h(a) = -7*a. Give h(m(n)).\nAnswer: -539*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5738 - 5617.04. Let n = -119 + m. Let w = n - -0.46. What is w rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 13*s**2 + 9*s. Let y(v) = 3*v**2 + 2*v. Let r(c) = c**2 - c + 2. Let a be r(2). Let t(q) = a*l(q) - 18*y(q). Let o(p) = -7*p**2. Calculate o(t(g)).\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from cjccjpcccpcp.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1756735254 + -3.5.\nAnswer: -1756735257.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -25*f**2 - 56*f. Let d(a) = 5*a**2 + 11*a. Let w(k) = -11*d(k) - 2*m(k). What is the second derivative of w(b) wrt b?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2. Suppose -29 = -4*z + 3*z - 5*q, q - 121 = -5*z. Let f(d) = -z + 24 - 9*d**2. Calculate f(b(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(160) - (sqrt(160) - 1*sqrt(160)))\/(sqrt(14)\/(sqrt(7)*2)) + ((0 + sqrt(80) + (sqrt(5) - sqrt(240)\/sqrt(3)))*-6)**2.\nAnswer: 8*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -6*t - 52. Let u = 17 + t. Calculate the remainder when (-11)\/(-22) + 22\/u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.22*16987.\nAnswer: 3737.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*g + 21*g - 7171 = 7*g - 991 for g.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1634657 is divided by 1634635?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*w**2 - 2*w**2 + 0*w**2 + (-2*w - 2*w + 5*w)*(-w + 5 - 3 - 4).\nAnswer: -3*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 2 - 5. What is the remainder when 27 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of m - 3 - 3\/2*m**2. Calculate k(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/(j**1\/j*j))\/j)**(-2\/33))**(-9\/10) assuming j is positive.\nAnswer: j**(-3\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -84713.3 - -0.2971468\nAnswer: -84713.0028532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*w**2 - 1 - w**2 + w**2 - 5*w**2 + 2*w as b + m*w**2 + j*w and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5309 + -5298. Solve 3*w + 2*z = a, z = 3*w + 2*z - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(392)\/(sqrt(56)\/sqrt(8)))\/sqrt(8).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -154.77 - -153. Round y to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 + 510923463951\nAnswer: 510923463935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4063 - 48803\/12. Calculate the common denominator of -73\/126 and c.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 28 = 2*n, -284*h - 2*n + 37 = -278*h - 4*n - 11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 (base 7) in base 13?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 7 = 53. What is the lowest common multiple of (-8)\/(-20)*10 + 21 and c?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 69\/950 - 21\/38. Which is the nearest to 1?  (a) 1  (b) -5  (c) -3\/7  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 - 40\/(-16) - 5\/(-10)*307 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -2*d**2 + 10280*d - 13209800 = 0.\nAnswer: 2570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 (base 11) in base 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssbszfzsssszgsfsfzb. Give prob of sequence sfzz.\nAnswer: 9\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 6 + 3 + 0*c**2 - 9*c - 2 + c**2. Let n = 62 + -56. What is v(n)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -7*t**2 + 5*t + 5. Let g(a) = -3*a**2 + 2*a + 2. Let c(f) = 10*g(f) - 4*w(f). Let u(r) be the third derivative of -r**4\/12 + 2*r**2. What is u(c(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y - 33. Let a be o(7). Let g = a - -41. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 2*p**4\/13 - 10*p**3\/13 - 84*p**2\/13 + 360*p\/13 + 432\/13 = 0?\nAnswer: -6, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-95*o - 1252 + 1252)*(5*o - 2*o + 0*o + (2 + 0 + 0)*(0*o + 3*o + 0*o) - 5*o - 7*o + 4*o) as t*o**2 + n + b*o and give t.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u - 8*u + 5*u - 19*u + 50. Let c be n(2). Solve c = 7*d - 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, -16759 in descending order.\nAnswer: 4, 0, -16759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 18. Let v be -1 - 2*44\/216*-3. What is the nearest to -1 in v, 0.5, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2 - 581*a - 2880.\nAnswer: -(a + 5)*(a + 576)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -398466197 - -398465889.000209. Let n = m - -308. What is n rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 87946, 176061, 264174, 352285, 440394, 528501, 616606?\n\"Answer: -f**2 + 88118*f - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*2\/(-4)*-44. Let j = 311 + -300. Calculate the highest common factor of c and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134 a factor of 10586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -247*a = -168*a + 1480*a - 23534 - 18559 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = 5*r - 28, -3096*r + i + 3 = -3096*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 17*g*o**2*z**2 + 31*g*o**2 - 30*g*o - 3*g*z**2 + g*z - 10*o**2 - 14*z**2 wrt z.\nAnswer: 34*g*o**2*z - 6*g*z + g - 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 955 - 955 - 1434*d**2 + 13569*d**2.\nAnswer: 12135*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (7 - 6) + 4\/2. Let s be -9 - ((1 - t) + 0). What is the tens digit of 2\/s + 424\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 44\/(-132) - 2147\/12 - -3. Which is greater: g or -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*b + 44*b - 25 = 0. Solve 3*d = -2*d - b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**2 + c**2 - 2*c**2)*(93*c**3 + 42*c**3 + 33*c**3).\nAnswer: -504*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wss when three letters picked without replacement from {w: 3, s: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 1, -574.\nAnswer: -574, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 292*l = -637 - 3451 + 15400 + 18472 for l.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22318466 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - -67666?\nAnswer: 67666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -4*y**3 - 2*y**2 + y. Let v be o(1). Let r(g) = -g**3 - 3*g**2 + 4*g - 6. What is the units digit of r(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68322268 to the power of 1\/3, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -2504008*n. Let s be z(-1). Suppose 2*r + s = -4*k, -2349219 = 5*k - 3*r + 780769. Round k to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*r**3 + 46*r**3 - 5*r**3 + 2 + 2604*r**2 - 6*r**3.\nAnswer: 70*r**3 + 2604*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5638 or -10084?\nAnswer: -10084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide -246*1\/(-2) - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -653*o**3 - 658*o**3 - 651*o**3 + 1961*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1100)\/(-55)*4\/(-16)*-5?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 - t - 16. Give o(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/(-36))\/(-7 - (-114)\/18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 3*f - 33, -7*s = -3*s + 4*f + 12. Let c be s - (1 - 0\/1). Let o(z) = -z**2 + 5*z + 9. Let l be o(c). What is l rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 6*z**2 - 7*z + 8. What is the remainder when 32 is divided by r(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.24 - 0.06. Which is the closest to -2\/3?  (a) 2  (b) p  (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -6*c - 30. Let g(p) = -p - 6. What is -11*g(b) + 2*u(b)?\nAnswer: -b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + 5*v**2 + 2*v - 1. Let a be 8\/(-3)*(-3)\/(-2). Determine m(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*l**3 - 1138*l**2 + 4*l**3 + 1138*l**2.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 7137, 7145, 7153, 7161?\n\"Answer: 8*n + 7129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*w + 226 - 44. Let v(d) = -6*d + 50. Give v(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1948*o - 2118*o = -4590 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 622 + -492. Let q(f) = -w*f**2 - 126*f**2 - 127*f**2 + 384*f**2. Let s(d) = -308*d**2. Calculate q(s(n)).\nAnswer: 94864*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 161588.\nAnswer: 2, 7, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1523359589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14802258 to the nearest integer?\nAnswer: 3847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = m + 2, -8*m + 3*m + 5*c = -50. Suppose 4*l - 2*h + m = -2, -3*l + 15 = 3*h. Solve -3*q - 12 = -l*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(204))\/(1*sqrt(3)*-1).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 125 and 0.127.\nAnswer: 125.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 + x**2 + 2*x - 2. Let c be z(1). Is (c\/4)\/(-1*2\/(-1588)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the third derivative of 2*x**4 - 55*x**3\/6 - 3*x**2 + 3*x. Is 47 a factor of u(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.05993 times 0.4\nAnswer: 0.023972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-3))\/((-6300)\/280)\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*n + 127 = -479 + 164 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkfkkfkkkk. What is prob of sequence kff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-54496)\/10480)\/(13\/(-60))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(2\/19)\/(d\/(d**(-3\/13)\/d)))**41)**(-37) assuming d is positive.\nAnswer: d**(796425\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 67\/5 of a decade in months?\nAnswer: 1608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + 4 - 4)*(-2 + 0 - 1 + (-29 + 12 + 13)*(0 + 8 - 5)).\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -67*k**4*o**2 + 6*k**3*o**2 + 3*k**2*o**2 - 2*k**2*o + 23*k**2 + o**2 wrt k.\nAnswer: -1608*k*o**2 + 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -599*r**2 - 943*r + 10. Let x(a) = -899*a**2 - 1415*a + 16. Let p(s) = 8*v(s) - 5*x(s). Find the second derivative of p(t) wrt t.\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/g**(2\/19))\/g)\/(g*g**(-19)))**(-2\/63) assuming g is positive.\nAnswer: g**(-680\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1\/4, -0.014, -5, 0.2, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 2*g. Let q(h) = -109*h. What is l(q(v))?\nAnswer: -218*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - q + 573 = 0, 4*q - 3 = q. Calculate the highest common factor of x and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -306 - -477. Let j = f - 166. Solve 3*s = -2*s + j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 13, 7, -23, -89, -203, -377?\n\"Answer: -2*a**3 + 8*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gknkkgknnggkkk. Give prob of sequence nn.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 75, 78, 91, 120, 171, 250, 363, 516?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 303*q**2 - 38*q**4 - 163*q**3 - 143*q**3 + 41*q**4 + 21*q - 21*q = 0. What is q?\nAnswer: 0, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, q: 2, l: 1, o: 1, w: 1, j: 2}. What is prob of sequence lo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -101, -189, -251, -275, -249, -161, 1?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 11708778, 11708777, 11708776, 11708775, 11708774?\n\"Answer: -u + 11708779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 2330.596 kilometers?\nAnswer: 233059600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d. Let t(r) = 10217*r**2. Give h(t(a)).\nAnswer: 20434*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -825*l + 853. What are the prime factors of x(-6)?\nAnswer: 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -480 - 1?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22*a**2*d + 16*a**2 + a*d + 481*d + 1 wrt a?\nAnswer: 44*d + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.03662 + -0.038. Round y to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (936\/(-60))\/13*(8750\/28)\/(-25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 3 = -2*k. Let c = -7 - k. Is (-24)\/(-3) + -3 - c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o + 3. Let q be i(2). Suppose 6*f - f = q. Let y be -1*(f - 24\/4). Solve y*v = 4*v + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 + 2 = -10*u. Determine l so that l**2 - 17*l**4 - l**4 + 7*l**2 + 14*l**u - 4*l**2 = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -112, -120, -132, -148?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x**2 + 16*x - 10. Let o(v) = v**2 + 1. Let s = 14 + -13. Let a(f) = s*q(f) - 6*o(f). Solve a(t) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 16 = -s. Suppose s*z = -43 + 111. What is the remainder when z is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 349174, 351462, 353750, 356038, 358326?\n\"Answer: 2288*w + 346886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/69)*t*t*t*t**11*t)\/(t*t**(2\/21)*t)**(1\/2) assuming t is positive.\nAnswer: t**(6725\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + 19*x - 39 = 0. Suppose -8 - 1 = 3*s + x*d, 2*s = 4*d - 24. What is the biggest value in s, -3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.08 - 0.18. Let c = -0.4 + y. Suppose -x = -2*x + 5. What is the third biggest value in x, -0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (77 - 77 + 15*d)*(-9 + 6 - 1) in the form m*d + j and give m.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-12 + 1 - 1) + (-128 - 9) + 109\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2212195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 12:46 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 62 and -3.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p + 2. Let d be g(2). Suppose 2*s = -0*s - d, 0 = 5*l + s - 48. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 - 5*v - 2. Let r be l(-4). Suppose 2*m - 4*m = -r. Suppose -w = 2*w - 18. What is the remainder when m is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1704374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 387130 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1.84*0.9\nAnswer: 1.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 260, 265, 270, 275, 280?\n\"Answer: 5*b + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -276591977, -276591976, -276591975, -276591974, -276591973, -276591972?\nAnswer: -276591971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 970 and 83379454?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*x + 22*x = 49*x + 335 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10771, 10769, 10757, 10729, 10679, 10601, 10489?\nAnswer: 10337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -35*c*f**6 - 4*c*f**5 + 29*c*f**2 + f wrt f?\nAnswer: -4200*c*f**3 - 240*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*c**3*i*s + 2188*c**3*i + 2*c**3*s - 1114*c**3 + 459*c**2*i*s - c**2*s + 8*c*i*s + 13*c*i + 3*c wrt c.\nAnswer: 12*i*s + 13128*i + 12*s - 6684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 3*q**3 + q**2 + 5*q - 3. Let s(u) = -7*u**3 - 2*u**2 - 8*u + 5. Give -5*l(o) - 3*s(o).\nAnswer: 6*o**3 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**4 - f**2 - 4*f**3 - f + 9*f**3 - 7*f**3 + 3*f**3. Let s(i) = 15*i**4 - 15*i**3 + 10*i**2 + 10*i. Let p(v) = -10*d(v) - s(v). Solve p(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(2\/9)*y**(1\/14)*y*y*y assuming y is positive.\nAnswer: y**(415\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 177354 divided by 59118?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 52700650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 + 24*q + 107. Let m be s(-6). What is the remainder when (m - (6 + -77)) + -5 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 52.4 - 52.7. Let r = 5 + -7. Let y = -1.9 - r. What is the second smallest value in 2, y, k, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -49500*h + 50775*h - 49725 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/5*m**5 + 1\/5*m + 6\/5*m**3 - 4\/5*m**2 + 0 - 4\/5*m**4.\nAnswer: m*(m - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33502.9 + -34967. Let f = -1398 - o. What is f rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**3 - 18*k**2 + 32*k + 39. Give p(15).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(112\/10))\/((-420)\/(-98))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35332057 is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j. Suppose 42*q + 348 = -115*q - 17*q. Let a(c) = -17*c**3 + 7*c + 1. What is q*a(w) + 14*f(w)?\nAnswer: 34*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -70126644, -140253288, -210379932?\nAnswer: -280506576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, 48, 72, 96?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 5*k - 65, -4*k - 2 = 4*r - 18. Suppose -1692 = -2*h + k*g - 7*g, 4*h - 3376 = 2*g. List the prime factors of h.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 2*l - 303. What is the remainder when l is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1183833 and -0.6.\nAnswer: -710299.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5278\/(-403) + 0 - (1 - 2 - 12)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8623 - -7880. Does n = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1486308 and 348?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-31)\/930*6 + 2\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 6) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - 2100?\nAnswer: -2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-50*d + 5*d + 3*d)*(-2*d + 4*d - 3*d) + 2*d**2 - 4*d**2 - d**2.\nAnswer: 39*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3281260.\nAnswer: 2, 5, 359, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118 - 123 + 360 + 5*n - 119.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20275324.\nAnswer: 2, 149, 34019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/256*-24)\/((-3)\/(-2))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5\/6  (b) -2\/19  (c) 4  (d) -46  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -590 + 3486. What are the prime factors of (h\/(-40))\/(4\/(-5))*6?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + -10101111010010101011101100000?\nAnswer: -10101111010010101011101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + 3*y)*(-1 - 3 + 3)*(-1 - 1 - 4) to the form n*y + u and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2970 divided by 3?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.020288 to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - 28715264?\nAnswer: -28715267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -4*a**3 - a**2 - 11*a - 2. Let c(q) = 5*q**3 + 2*q**2 + 12*q + 3. Let m(b) = 5*c(b) + 6*t(b). Let h(g) = 13*g - 31. Let f be h(2). Determine m(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - 1) + 3 + 1. Suppose 3*q - 2 = r*q. Let x = -33008 - -33010. What is the remainder when x is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 5) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 < 1964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 2*f - 65, -29 = -3*h - 4*f + 26. Solve 3*x - 21 = -3*q, 5*x - 2*x - h = -5*q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3819 - 3852 - (60 - -3)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*l + 11. Let q be l\/(-1) - (-64)\/(-28). Is -0.2 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.08 * 2659943\nAnswer: -212795.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -0*m - 4*m + 2, 0 = -3*i + m + 7. Solve i = -v - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1046, 0, 13, -5, 4, 862 in ascending order.\nAnswer: -1046, -5, 0, 4, 13, 862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 766*r + 7653. Determine l(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*j = 13*j + 314 - 1106. Solve 0 = -5*r - 5*i + 17 + j, 0 = -2*i + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7875878.\nAnswer: 2, 29, 251, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-74*l - 971 + 971)*(60*l + 30*l + 36*l).\nAnswer: -9324*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3469 divided by 36851\nAnswer: -3469\/36851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l - 19. Let s(f) = -13*f - 104. Let z(x) = -6*m(x) + s(x). Calculate z(7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 7) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 4 + 1 + 1 + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k + 4*w = -7*k - 708, 147 = k + w. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18 + 61. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uvsuusvsssvsvvvsvv. What is prob of sequence vu?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/(sqrt(21)\/sqrt(3)) - (3 + sqrt(11) + 2)) + -3 - (2 + (3*sqrt(495))\/(2*sqrt(5)*-2)).\nAnswer: -10 + 9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4915 - 4912. Which is the closest to -2\/5?  (a) -14  (b) 2\/7  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5384 - -59271\/11. What is the common denominator of o and 1\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of c**6\/240 + 11*c**5\/160 + 35*c**4\/96 + 25*c**3\/48 + 32*c. Solve d(r) = 0 for r.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 648 a factor of 9719753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 130298 divided by 227.\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/4 - 0)*-10. Let v = -158.79 - -158. Let f = v - -0.8. Which is the nearest to f?  (a) -2\/13  (b) s  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6532\/299 - 22)\/((205\/75)\/(-41))?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*a - 33*a = -11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 4597 = 4617. What is the nearest to m in -1, -0.1, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 2*p = 20, 9 = 3*c - 2*p - 8. Let k be -2*-23*c\/(-6). Let q = -21 - k. Solve 0 = -2*h - q*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1287 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: Sort -2\/7, -204, -67 in ascending order.\nAnswer: -204, -67, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3396 is divided by 3371?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -821 + 2456 - 819 - 816 - 120*t.\nAnswer: -120*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 118840697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 324348*m - 324485*m + 6165 = 0 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15265 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -22*r - 1. Suppose -3*k - 6 = -2*k + 3*o, 0 = o. Let m be l(k). Suppose -18 + m = x. What is the remainder when x is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*j - 160169 + 1003945 = -133999. What are the prime factors of j?\nAnswer: 3, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate h**2*m*p*q + 3*h**2*m*q - 2*h**2 - 136*h*m*p + 10*h*m*q + 2*m*p wrt q.\nAnswer: h**2*m*p + 3*h**2*m + 10*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84*n = 200989 - 959257. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04082 hours in minutes?\nAnswer: 2.4492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1579  (b) -0.4  (c) 3067\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.91662527 to three decimal places.\nAnswer: 5.917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99 is divided by ((-4437)\/(-174))\/(1*(-3)\/(-2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 235 + -70. Suppose 6*g = g + r. Let f = g - -1. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (3 + -80)*76265\/(-245) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 - 10*u**2 + 23*u + 2. Let c be p(5). What is the hundreds digit of 218 - (1 + c) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -595.44.\nAnswer: -2977.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 130 - 87. Let r = t + -26. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 2*f**3 + 87*f**2 + 41*f - 75. What is y(-43)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x - 2*x - 17 = -3*f, -29 = -3*f + 5*x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - p = 3. Let o be (24\/(-84))\/((-12)\/(-28)). Let z = -416\/473 - -30\/43. Which is the closest to o?  (a) -3  (b) p  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 5)*(4*c - 4*c - 4*c**4) + 2*c**4 - c**4 - 2*c**4 + (-7*c**4 + 2*c**4 + 3*c**4)*(-18 - 7 + 9).\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 2*x**3\/5 + 540116*x**2\/5 + 7293024312*x - 14586480720 = 0?\nAnswer: -135030, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 8. Let p be (2 + (-15)\/3)*-1. Suppose 7 = j*b - p. Solve -b*h = -5*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkggk. What is prob of picking 1 g and 2 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 10 + 226*t - 5)*(-t - 2 + 2).\nAnswer: -226*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -2 + 3 + 3 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109*v = 108*v - 9 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -585*h + 2. Suppose 5*c = -3*d - 17 - 3, 0 = -4*c + 5*d + 21. Is k(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 1. Factor 20*z**s + 3*z - 19*z**2 - z.\nAnswer: z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-36))\/((4\/(-2))\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 PM and 12:55 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -153*k + 7 - 151*k + 305*k - 7. Let f(o) = 2*o**2 + 20*o. Calculate j(f(g)).\nAnswer: 2*g**2 + 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 548 + 86. Let u = -609 + k. Calculate the remainder when u is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = 5*f - 29, 3*f = 2*r + 2*f + 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 8:59 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 238\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19 + 70. What is the least common multiple of 119 and h?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 178*m**5 - 1204*m**3 + 1204*m**3 + (0*m + 2*m - 4*m)*(m**4 - 3*m + 3*m) - 2*m**4 - m**5 + 2*m**4.\nAnswer: 175*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5375 + 2*i**3 + 5375.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6924619 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0049106 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 60042.438 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (y - 6*y - 2*y)*(0 - 4 + 3) + 11 - 8*y - 11 to a*y + f and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -52 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -206 - 4?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 3 + 6)*(-f**2 + 0*f**2 + 3*f**2) + 45*f - 362 + 176133*f**2 - 176134*f**2 - 37*f as r*f + t*f**2 + h and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -17*s - 8. Let i(r) = 13*r + 7. Let k(b) = -4*i(b) - 3*u(b). Let g(w) = -2*w - 9. What is -6*g(t) + 13*k(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 114703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 310640\/197680*10\/(-2)?\nAnswer: -55\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1586512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p - 5. Let v(o) = -2. Let g(n) = -n + 4. Let i be g(4). Suppose i = 4*k - 3*k + 2. Calculate k*d(a) + 5*v(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/32)\/(-9)*-1\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2543\/2*10\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64842876?\nAnswer: 2, 3, 7, 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -841*l. Let m(r) = 150*r. Calculate s(m(a)).\nAnswer: -126150*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 4*t - 7. Let v(f) = 5*f - 6. Determine -3*a(c) + 2*v(c).\nAnswer: -2*c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11221 (base 3) to base 10.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 52*z + 86. Let r be p(9). Let l = r - 482. Suppose s - 8 - 1 = 0. Calculate the highest common factor of s and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 4454 = 5*t - 12746, 5*g = -3*t + 10352. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 94 - 104. Let m(n) = -n**2 - 11*n - 6. What is m(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -5) + 1 + (3 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2. Let z = -2 + 1. Let f be (-9)\/(-4) + z\/4. Let k(q) = f*q**2 - 4*q**2 + 5*q**2. What is k(r(n))?\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 8387641 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 76079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/(o*o*o**2*o)*(o**9\/o)\/o)\/((o**0\/o*o)\/o*o)**(-36))**26 assuming o is positive.\nAnswer: o**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**2 - w + 3. Let q(b) = -3758*b**3 - 9395*b**2 - 9395*b + 28185. Give q(d) - 9395*y(d).\nAnswer: -3758*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1450703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -326, -567, -822, -1097, -1398, -1731, -2102, -2517?\n\"Answer: -v**3 - v**2 - 231*v - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 + (-10)\/4)\/((-97)\/(-194)). Let r be 48\/(-20)*p\/2. Suppose -355 = -r*n + 101. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8068320*a - 114067671 wrt a?\nAnswer: 8068320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 82939807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 19267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2028853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 147001 (base 9) to base 6.\nAnswer: 1534301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.133337 to three dps.\nAnswer: -0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k - 21 = 2*k. Suppose k*p = -19 - 29. Is -13 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 23 + 22)*(r - 12*r - r).\nAnswer: -504*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -123466.0076237 - -123466. What is k rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -26*x**2. Let t(k) = -286 + 286 - k**2. Calculate t(w(z)).\nAnswer: -676*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82 is divided by 73?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 66\/8075 and 47\/6669190?\nAnswer: 566881150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from oiiiiowgggiioiiiwi.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d + 5*d - 5*d + (4 + 1 - 3)*(-3*d + 6*d - 12*d).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4400, 13, -107, 11 in descending order.\nAnswer: 4400, 13, 11, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 237976472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1080372.951 seconds in weeks?\nAnswer: 1.7863309375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/33 and 27\/95.\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6\/50)\/((6\/(-15))\/(-2)). What is the third smallest value in -2\/7, c, -8.7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 6486 = 4*v, 4*v = -2*j + 338 + 6138. What is v rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(14)\/sqrt(7) - -3*sqrt(242) - (4 + (sqrt(18) + -3 - sqrt(2) - (sqrt(2) + 1 + 2)**2)).\nAnswer: 10 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28) + -2*sqrt(112))\/(sqrt(4) - ((sqrt(48)\/sqrt(3))\/sqrt(4) - sqrt(4))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 249910765?\nAnswer: 5, 13, 37, 103913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 5*f + 10 = 0, -5*j = -5*f - 25. Suppose 0 = s - 7 + j. Sort -1, s, -2.\nAnswer: -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 74*v**2 - 146*v - 144*v**2 + 69*v**2 in the form j*v + q*v**2 + a and give j.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**2 + 4*y**2 - y**2)*((-2 + 2 + 8)*(-3*y - 53 + 53) - 2*y + 1 - 1).\nAnswer: -26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/5 + (-291)\/70. Let u = n + 34\/7. Sort 4\/7, 0, u in descending order.\nAnswer: 4\/7, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3\/5  (b) -4  (c) -15  (d) 3  (e) -9\/317  (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7325 + -43823\/6. Find the common denominator of -47\/10 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -3*m + 1236, -5 + 0 = 5*z. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1099 + -577. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69 is divided by 21\/1 - (3 - 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 9, q: 11}. What is prob of sequence qdqq?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x**5\/15 - 788*x**4\/5 - 734888*x**3\/15 - 7067652*x**2\/5 - 2341630*x\/3 + 16399000 = 0. Calculate x.\nAnswer: -575, -31, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -53*v - 6. List the prime factors of x(-3).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18.781*-0.4.\nAnswer: 7.5124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 - -14. Put y, 4, 3 in descending order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -3*r**3 - r**2 + 7*r + 115. Let c(k) = 5*k**3 + 2*k**2 - 11*k - 172. Let n(t) = 5*c(t) + 8*o(t). Is 20 a factor of n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 406*i - 406*i + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 190813801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/3 + 9706*s\/3 - 7636876\/3.\nAnswer: 2*(s - 689)*(s + 5542)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 245504 by 224.\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 bigger than -7250\/1513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -7*v + 1. Let f(t) = -3. Calculate -5*f(z) - l(z).\nAnswer: 7*z + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n + 9. Let u be z(5). Let s be u\/(2 + (4\/(-2) - -2)). Suppose 48 = 4*b - 3*l, s*l + 2 = -b + 25. Calculate the highest common divisor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 68*y + 17. Is a(3) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0315457319 rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 - 8. Let z = v + 23. Solve 5*t = 12 + z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:08 PM and 1:49 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3*-303*(-4)\/36. Suppose q = x + 5*l, 0 = 5*x + 4*l - 166 - 234. What is the second derivative of -3*h - 76 + h**4 + x wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-14))\/(14\/(-392)*8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -5  (c) 15  (d) 0.2308  (e) 2  (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1423720801\/286 - 4977917. Let p be 1*5 + 16910\/(-130). Let m = p + b. Calculate the common denominator of -149\/6 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqkqqqkqxkqqqkqkqx. Give prob of sequence qx.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 15, e: 4}. Give prob of sequence ecec.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - -10. Suppose -5*x = 2*n - 5, 2*x - 2 = -m*n - 0*x. Suppose -u + 3*u - 538 = n. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v**3 - 12*v**2 + 13*v - 13. Let j(q) = -q**2 + 26*q + 113. Let h be j(-4). Determine i(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/((-45)\/(-50))*(114\/(-48) - -2). Which is the nearest to -0.1?  (a) x  (b) -4  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q + q + 3*k = -16, 0 = -q - 5*k - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -38096 + 57217. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**2 + 3*z**2 + z**2)*(-z - 3*z + 2*z + (-2*z + 0*z + 0*z)*(-5 - 2 + 1)).\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.7 - -2.4. Round w to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 3*n - 62 = -0*b, b + 2*n = 32. Calculate the remainder when 108 is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1958588.1us to days.\nAnswer: 0.00002266884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -123 - -124. Let c(x) = 34*x - 1. Let i be c(l). Suppose -g = n - 6, -n + 6*n - i = -4*g. Sort 4, -1, 5, n in ascending order.\nAnswer: -1, 4, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 58 - 56. Suppose 0 = -p*r - 0*r - 3*g + 300, -596 = -4*r - 4*g. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4090 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (12\/(-18))\/((-2)\/(-42)). Suppose 76 = 3*n + 5*y - 4, -28 = -n - 3*y. Let p = n + f. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from ukkukkukkkkk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - -274114?\nAnswer: 274108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 - 10*h**2 + 13*h + 3. Let s be j(-14). Suppose s = -o - 4*o. Let d = o - -187. Calculate the remainder when d is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6270.\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*d**2 - 30*d**2 + 14*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -6 + 2. Let s be -10 - (99\/(-44) - 8). What is the closest to -1 in s, d, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 901 and 64289.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -202*t + 132 - 39\/2*t**3 + 1\/2*t**4 + 105*t**2 = 0.\nAnswer: 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 PM and 7:16 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*m - 1645*h = -1646*h + 256, -3*h = -m + 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31208799?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by 742902.\nAnswer: -2\/123817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14*j**4 + 17*j**2 - 2227 with respect to j.\nAnswer: 56*j**3 + 34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1365670 is divided by 616.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 4150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 0.12  (c) 0.4  (d) -184\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8625\/150*(-26)\/65?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 31*i**4 + 110862*i**3 - 5307863*i**2 wrt i?\nAnswer: 744*i + 665172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(8))\/sqrt(2))\/sqrt(2).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 198 divided by -11.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g - 5. Let u(k) = -11*k + 24. Let t(f) = 4*f - 8. Let j(c) = 8*t(c) + 3*u(c). Let v(b) = -5*j(b) - 7*o(b). What is v(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/595 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -86 - -247. Is 23 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.42 + 0.02. Suppose 4*f - 1 - 7 = 0. Suppose -3 = -v + f*v. What is the smallest value in -2, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*y - 160 = 5*o - 75*y, -100 = 4*o - 4*y. Let q be (-281)\/30 - -11 - (-4)\/o. Factor -q*g**3 - 2*g + 1\/2*g**5 + g**4 - 4*g**2 + 0.\nAnswer: g*(g - 2)*(g + 1)**2*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(2448) - sqrt(2448) - (sqrt(272) + 5))*-1 + -4 + 2*(-2*(sqrt(425))**2 - (sqrt(17) + (-3*sqrt(68))\/sqrt(4))).\nAnswer: -1699 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - i + 1)*(-18 + 25 + 19)*(45 - 33*i**2 - 45).\nAnswer: 858*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13532?\nAnswer: 2, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.04 and -1.2?\nAnswer: -1.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1920\/1440)\/(4*(-1)\/(-66)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + -1023323?\nAnswer: -1023320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 PM and 9:47 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 12  (b) 1  (c) 0.9  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 0, 20 in descending order.\nAnswer: 20, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ots when three letters picked without replacement from {s: 2, t: 1, o: 1, b: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1 - 3) + -12 - (-6 + -37)) + -10 + 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/(155904\/(-210))*((-378)\/(-45) + -8)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 19100999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-213)\/639*1\/((-2)\/(-8))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10427 + -208471\/20. Suppose 2*t + m = 6, -22 - 3 = -5*t - 5*m. Calculate the common denominator of p and 1\/(-8)*58 + -1 + t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3028 + -3036. Let k be 52\/6 - 4\/6. What is the lowest common multiple of ((-6)\/m)\/(k\/192) and 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -45, -90, -135?\n\"Answer: -45*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51\/(-2142)*-42*17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-99)\/154 + 1\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2163597797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*a**5 - 612*a**3 - 80868*a?\nAnswer: -40*a**3 - 3672*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 6*v**2 + 3*v - 3*v + 5*v + 6*v - 6. Let a be f(8). Suppose -a = -3*j - 61. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -1\/3, 1\/3, 4 in descending order.\nAnswer: 4, 1\/3, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n**3 + 2*n**3 + 0*n**3 - 2*n**3 + 0*n**3 + 0*n**3 + (-n + 5*n - 5*n)*(3*n**2 - 3*n**2 + n**2) - 205*n**3 - 1854*n + 927*n + 927*n.\nAnswer: -209*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 113*f**2 + 59*f**2 - 142*f**2 + 52*f**2 - 2. Let n(t) = 6*t. Calculate g(n(k)).\nAnswer: 2952*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -43*d + 46*d. Let t = 2.8 - 3. What is the second biggest value in 0.4, d, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14a6 (base 11) to base 2\nAnswer: -11110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the third derivative of z**6\/300 + 17*z**5\/25 + 289*z**4\/5 + 39304*z**3\/15 - 292*z**2. Factor y(b).\nAnswer: 2*(b + 34)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1004206 and 3626?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 38632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -10 + (5 - (4 + -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*z - 76 + 79 + 132 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2100*p + 16806. Let d be w(-8). Let t(g) = 14*g**3 - 4*g**2 + 3*g - 3. Let c(o) = 85*o**3 - 23*o**2 + 17*o - 17. What is d*c(b) - 34*t(b)?\nAnswer: 34*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -213*p - 4*s = -218*p + 20, 4*p + 4*s = 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (75\/5)\/(-5) - -5. Let x be (2 - 1 - o) + 6. Suppose -x*k + 140 = 5*s, 5*s - 11 - 4 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-5) - (-86)\/5. Suppose -12 = 4*h, 5*h + d = f - 0*f. Suppose 0 - 1\/2*o - 7\/4*o**f = 0. Calculate o.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*d + 4 - 4)*(-159*d**3 + 159*d**3 + 24*d**4).\nAnswer: -336*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 + 5*l**2 + 4*l - 1. Let t be o(-4). Let b = t + 6. Suppose -2*s + 307 = b*m - 248, 0 = -4*s. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1782759 and 1620690.\nAnswer: 17827590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38080406?\nAnswer: 2, 7, 13, 209233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5048288 at least 5048296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.13 in -4, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (67 - 10 - -35) + 8\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1605.2406 - 244\nAnswer: 1361.2406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - g)*(33 - 6 + 1)*(732 + 685 - 1945) in the form r + l*g and give l.\nAnswer: 14784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 8279 divided by -487\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q + 4*q + 4. Let m = 5 - 9. Let c = 4 - 7. Put m, q, c in decreasing order.\nAnswer: q, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -17*x**3 + 3*x**2 - 3*x + 1. Let h be d(1). Let o be (20\/h)\/(3\/(-12)*1). Let w be ((-4)\/o)\/(1\/(-25)). What is the highest common divisor of w and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 337 + 191 = n + 5*g, n - 5*g = 498. Suppose n = 4*l - 383. Does 56 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 24*q + 6. Let o(z) = -z + 1. Give g(w) - 6*o(w).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (807\/(-1076))\/((-14)\/8)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2 + 2 - 4*f. Let v(k) = -2*k**3 - 22*k**2 + 22*k - 8. Let z be v(-12). Let o(q) = 17*q**2 - z*q**2 + 3*q**2. What is o(p(g))?\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 39369 = -3*a, -4*a + x = -5*a + 13105. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -27.11 + 0.11. Let n = 30 + z. Let s = 8 + -7.6. Which is the third smallest value?  (a) s  (b) -0.2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(19\/(304\/(-48))). Solve h + 2*a + 5 + 0 = u, 3*h - 9 = 6*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 3*a. Let d(x) = 2*x. Let n(j) = 10*d(j) - 6*r(j). Suppose -5*s = -2*z + 7, s - 3 = -4*z - 0*s. Let h(i) = 5 + z + i**2 - 6. Give h(n(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 385 - 388. Which is the third smallest value?  (a) 4\/7  (b) 0.11  (c) 6\/5  (d) z  (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 383820 is divided by 4171.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r + 1 - 1 + 7*r - 2*r - 3*r + (1 - 5 + 3)*(3*r - 2*r - 2*r) - 2*r - 2*r + 5*r - 2 + 2*r + 2 + 2 - 2 - 2*r + 63 - 63 + 54*r.\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1850 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 40 - 35. Solve 0 = i, c*i + 14 = 4*k + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 16\/(-2520) + 4\/(-18). Let s = z + -13\/35. Let k = -3.98 + -0.02. What is the nearest to s in 4, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express a**4 + 2*a**3 - 2*a**3 + (-2*a**3 + 0*a**3 - 10*a**3)*(-2 - 2*a + 2) + 2*a**4 + 2*a**2 - 2*a**2 as h*a**3 + n*a**4 + z + l*a + g*a**2 and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 93 divided by 1?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -18*z**2 - 2*z + 20. Let l(n) = 6*n**2 + n - 7. Calculate -8*l(k) - 3*p(k).\nAnswer: 6*k**2 - 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 90\/16*(-144)\/360\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -3*g + 12. What is f(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 25*d + 82. Let y be w(-3). Solve 0 = 4*x + i - 7, -3*x + 5*i - y + 41 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-5 + (sqrt(66)*2 - sqrt(66))\/sqrt(6) - -3*(1 + sqrt(99))) + -1).\nAnswer: -60*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**17*(o*o\/o**(-10))\/o*o**(-2\/19)\/(o**8*o))**(-22) assuming o is positive.\nAnswer: o**(-7898\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9858, -19719, -29580, -39441, -49302, -59163?\nAnswer: -69024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -69\/16 + 377\/80. What is the closest to o in -2\/15, -69, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 - -1)\/((-9)\/12). Let k = -5 - f. Solve k*c - 17 = t, 0*c + 5*c - 23 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2125, 0, -183, -7 in descending order.\nAnswer: 2125, 0, -7, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2595 a factor of 1031855667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 9 = -5*a, -a = -0*u + u. Let k(w) = 6*w**3 + w - 1. What is k(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 23*p + 2774. What is the thousands digit of j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*y**4 + 2 + (-3*y**3 + 2*y**3 + 0*y**3)*(y + y - 3*y))*(-y + 2*y + 1 + y) + 17*y**3 - 17*y**3 + 15*y**5.\nAnswer: 13*y**5 - y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34849375.\nAnswer: 5, 11, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/70)\/((-330)\/35 + 9).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 11:27 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 564952.5 days in weeks?\nAnswer: 80707.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/19)\/(-1) - (-238622668)\/21622. Calculate the greatest common factor of k and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 - -9. Let b be (3*1)\/(a\/732). Suppose -3*h + g + b = -g, -5*h + 196 = 4*g. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 502 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - 1029 = -37. Suppose 2*u = -2*b + 40, -u - 3*b - z = -6*u. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the third derivative of 0*m**3 + 0*m - 34*m**2 + 0 + 0*m**4 + 1\/10*m**5. Let c(t) = -2*t. Determine i(c(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - 102?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - d40?\nAnswer: -d41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + -8. Let t = -7 - y. Factor -5*b**2 + 12*b + 12 - 4*b**2 - 18*b**4 + 21*b**4 - 6*b**t.\nAnswer: 3*(b - 2)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand v - 3 + 3 + (21*v - 4*v - 4*v)*(-1 + 3 + 1).\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.13 take away 740193?\nAnswer: -740192.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -3\/2*z**2 + 0 - 3\/4*z - 3\/4*z**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of d**5\/40 - d**4\/24 + d**3\/48 - 7*d. Find g such that v(g) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 330 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104580893.\nAnswer: 1997, 52369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 8*u - 4*u - 204, 2*u - 96 = 5*t. Let z = u - 50. Solve z*h + 1 = -4*w, 3*h - 7*h - 4*w = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7181.\nAnswer: 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/184)\/((-107)\/(-428))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 33*i. Suppose 4 = o + 3. Let b be a(o). Let h = 48 - b. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q**2 - 5*q. Let z(g) = g + g**2 - 5*g - 2*g**2 + 5*g. Determine s(j) + 5*z(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12 - (-1*2 - (0 + 2)). Suppose 0*r = -r - 5*a + 20, 4*a = -5*r + u. Solve -4*p + 0 - 4 = r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5489, 10979, 16469, 21959, 27449?\n\"Answer: 5490*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -254262, -1016859, -2287844, -4067211, -6354954, -9151067?\nAnswer: -12455544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 + r**2 + 8*r + 11. Give z(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (13 + -1)*(-8 - -14) and -16*(-2)\/(2\/2)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 780 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -37 + 37. Let b(z) = 17 - 15 + z + f*z. Let o be b(4). Solve -3*c + 4*h = -7, -c + 5*h + 11 = -o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(1331)*-1 - sqrt(1331))*-6 - (sqrt(22)\/sqrt(50) - (sqrt(88) + sqrt(88)*3)\/sqrt(8)))**2*-6.\nAnswer: -30428706\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*a*p**4 - a - 55*p**4 + 21*p**2 - 3 wrt p?\nAnswer: -48*a*p - 1320*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1320 = 22*p - 11*p. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1147065, -2294062, -3441059, -4588056?\n\"Answer: -1146997*y - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -9*b**3 - 6*b**2 + 2*b - 1. Let r(s) = -19*s**3 - 13*s**2 + 4*s - 2. Determine -6*r(z) + 13*u(z).\nAnswer: -3*z**3 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 73847736 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1825 is divided by 1520.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from onmmnffmnmmm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -2*b + 178, 5*b + 166 = -2*f - f. Let l be ((-1716)\/165)\/(0 - (-1)\/5) - -2. Let u = f - l. What is the remainder when u is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*b**3 - 10*b**2 + 0*b**3 + 3*b**3.\nAnswer: -2*b**3 - 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 545*r*t**3 + 123*r*t**2 + 1400*r*t - 206*r wrt t.\nAnswer: 3270*r*t + 246*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(2\/13)\/n**(-15\/7) assuming n is positive.\nAnswer: n**(209\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3.3, 1\/9284, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2787, 5582, 8377?\nAnswer: 11172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 6*m**3 - 12168*m**4 - 34*m**3 - 31*m**3 + 12167*m**4 - 43*m**3 in the form r + y*m**2 + a*m**3 + o*m + d*m**4 and give a.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that g**4 + 20*g**3 - 117*g**2 - 1620*g + 8316 = 0.\nAnswer: -21, -11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2853311 and 7576.\nAnswer: 22826488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-27)\/(-6) - 4)*(0 - 0). Suppose -8*q + 13*q - 510 = k. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*m - 15*m + 22*m.\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w**2 - 23*w + 19. What is the remainder when y(13) is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5 - -4)*((-1)\/2)\/((-9)\/(-18)). Is -9\/385 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 771*m + 4696. Calculate the remainder when -3 + 60*(-8)\/(-6) is divided by b(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z\/z**16)*z**5\/z*z)\/(z*z**(-8\/5)\/z*z*z)**(-45))**(2\/65) assuming z is positive.\nAnswer: z**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of m**3\/3 + 23*m**2 - 19*m. Let b be f(-22). Suppose b*k - k + 7 = -2*y, 4*k + 16 = -5*y. Solve 2*w + k = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*n**3 - 4*n**2 + 4*n - 5*n**3 - 2 + n**4 + 0 - 2*n in the form u + x*n + f*n**4 + w*n**2 + r*n**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -2*v**2 + 3078*v + 12344 = 0.\nAnswer: -4, 1543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32733825*i**2 + 69832085*i + 160.\nAnswer: -5*(15*i - 32)*(436451*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 7*s - 7*s + s**2 + 4*s**2. Let q(y) be the first derivative of 5*y**2\/2 + 128. Calculate m(q(n)).\nAnswer: 125*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 2\/3  (c) 2.3  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35146*t + 5*v - 6 = -35149*t, 5*t - 3*v - v - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (2 - 5 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 41124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1216620a - -2?\nAnswer: 12166210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2057 (base 16) to base 4\nAnswer: 2001113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 639229?\nAnswer: 101, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -110 + 78 + 203 - 6*u + 89 as l + n*u and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 640.5391m to micrometers.\nAnswer: 640539100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 + 12. Let s(d) = -d**2 - 6*d + 4. Let b be s(-6). Let c be (-14)\/3 - b\/(-6). Sort 0.5, c, y in increasing order.\nAnswer: c, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 321*m. Let c(o) = -14*o. Calculate c(x(k)).\nAnswer: -4494*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 PM and 11:43 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 468363 = 468389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((15390\/(-60))\/(-171))\/(78\/(-16))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (15 + 1 + (-83 - -70))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 698362 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = -6*i + 278. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/735 and 109\/630.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1233857, 2467686, 3701515, 4935344?\n\"Answer: 1233829*y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 3*q - 22 = 0. Let x = q - -15. Calculate the lowest common multiple of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6231 and 30900831?\nAnswer: 2070355677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 653297 and 262?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -31321*t**3*w**4 - 95*t**3*w**3 + 4*t**3*w + 118745*t**3 wrt w.\nAnswer: -375852*t**3*w**2 - 570*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -7*j + 6. Suppose 0 = -9*h + 28 + 71. Let g(n) = 13*n - 11. Let t(c) = h*l(c) + 6*g(c). Let v(p) = -16*p**2. What is t(v(w))?\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 494 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1 * 4.19861\nAnswer: 4.19861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 17756*l - 53276. Determine k(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7*p**3 - 57838*p**2 - 9*p - 44502999?\nAnswer: 21*p**2 - 115676*p - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 460614 (base 9) to base 14.\nAnswer: 72869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 - 4*v**2 - 3. Let h = -280 - -191. Let s = -71 - h. Calculate the remainder when f(6) is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 2 + (-4 - (-6 + 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 247 - -91?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 838010 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: Let y = -3 + 4. Let w = 412.5 - 412. Let a = 6 + -7. What is the closest to a in w, 3\/4, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (-4 - -6) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - c + 340 = 0. Let n = 90 + c. Suppose -48 = -4*t + h + 16, 4*t = n*h + 80. Solve 3*v + 0 = t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -h - 3 + 554*h**3 - 334*h**3 - h**2 + 5 as r*h**3 + p*h + f*h**2 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-10)\/(-15) + 34\/3. Let j(a) = -a + 15. Calculate the remainder when 6 is divided by j(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 46 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*v**2 + 31*v - v**3 + 30*v - 2 - 68*v to the form d*v**2 + r*v**3 + q*v + f and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 24*v**3 - v**2 + 2*v + 3. Calculate r(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2123*m + 1069*m + 3 + 1056*m - 26*m**2. Calculate y(2).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 8:39 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 PM and 8:04 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 2 d when four letters picked without replacement from {d: 2, v: 1, j: 1, n: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q + 3. Let g be d(-2). Suppose 3*y - 7 = t - 3, 3*t = 5*y. Let x(p) = -6*p**3 - p - 6*p**2 + 1 + y*p**2 + 2*p**2. Calculate x(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (66\/15 + -8)*-45. Calculate the highest common divisor of z and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeetelt. Give prob of picking 1 t, 1 e, and 1 l.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d**5 + 64*d**4 + 32*d**3 - 1024*d**2 + 1344*d = 0 for d.\nAnswer: -14, -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14279.93 + 14099. Let o = p + 182. Let a = o + -1.0919. What is a rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -24 - 16. Let g be -1 + (-2275)\/(-119) + (-6)\/51. Find the second derivative of 35*i**3 + 12*i**3 + n*i - g*i - 11*i**3 wrt i.\nAnswer: 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + 0. Suppose o*g = -0*g - 4*p + 238, -p + 235 = 2*g. What is the highest common factor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(189)\/sqrt(48))\/(1*sqrt(81)))**2.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-64)\/56*(-9)\/12?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2938581 and 192.\nAnswer: 188069184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 128\/14 + ((-4)\/112)\/((-5)\/(-20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/51?  (a) -1  (b) 0.2  (c) -0.3  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1038*t + t**2 - 2086*t + 1047*t - 17*t**3 - t**2.\nAnswer: -17*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - c + 0 + 0 + c + (-6*c + c + 3*c)*(3 + 1 - 2) - c - 1 + 1 + 0*c + c - 2*c)*(-65 - 31 + 26).\nAnswer: 420*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 2 = -t, t - 4*t - n = 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 11:45 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4490.43 * 0.2\nAnswer: -898.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10221.\nAnswer: 3, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 11) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 101*m + 981 = -224*m - 1600 - 994 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 - 11. Is 1 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 1*(sqrt(320) + 1)**2 + (4*-2*sqrt(10))\/(sqrt(8)\/sqrt(4)*1 + sqrt(2)).\nAnswer: 12*sqrt(5) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1408*s**5\/7 - 30214*s**4\/7 + 198752*s**3\/7 - 341630*s**2\/7 - 232812*s\/7 - 29808\/7 = 0. What is s?\nAnswer: -23\/64, -2\/11, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 91012, 90973, 90934, 90895?\nAnswer: 90856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*x - 9 - 3. Suppose -5*k + 3*g = -13, 3*k - 6 = -x*g - 2. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*10 + (-1160)\/(-40) + -21\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -363 + 335. Let p be (-48)\/168 - 78\/q. Solve -p*n - 15\/4*n**4 + 5*n**3 - 5\/2*n**5 + 0 + 15\/4*n**2 = 0.\nAnswer: -2, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56010 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 27\/4 of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*i + 188 + 64. Let l = i + 33. What is the tens digit of -1*((-6 - l) + -48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -x**2 + 562*x - 4432 = 0.\nAnswer: 8, 554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*k + 4*k - 4*k)*(5 - 5 + k**2) - 6120*k**3 + 510*k**3 + 2090*k**3 as x*k**3 + o + q*k + g*k**2 and give x.\nAnswer: -3518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 975 = 3*a + i, -2*a - 5*i + 1311 = 2*a. Let s be (a - (-5)\/(-5 + 6)) + -6. What is the greatest common divisor of s and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-5 - 3 - 67)*5\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-30)\/(-4))\/((-790)\/(-632)). Solve -22*x + 24*x = q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4\/5  (b) 2  (c) 0  (d) 0.9  (e) -88\/5  (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 - 2*f + 5. Let z be t(0). Suppose -109 + 29 = -z*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3*(-3)\/9*-5. Let y(h) = 2*h + 7. Let m be y(l). Suppose 4*s = -6 - 6. Do s and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 177873 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5086 + -5080. Calculate the highest common factor of c and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + (-20 + 89 - 1) + (-11 - -1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -5*v + 30. Let x be o(6). Calculate the smallest common multiple of 9 + ((-40)\/8 - x) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1530 + 9905. Suppose -l - 4*l = y. Let b = -9775 - l. Round b to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -30*m - 14. Let d(n) = -6*n - 3. Let b = -61 - -47. Determine b*d(r) + 3*z(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 4*c + 3*c. Let z(f) = -18*f**3 + 5*f**2 + 7*f - 10. Let j be z(c). What is j rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2606 - -2609. Let f be (-3*5\/(-3))\/1. Suppose -40 = -f*l - 15. Solve 25 = -5*o + 5*g, -k*g + 0*g - 17 = l*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 84\/(-9)*6612\/3116456\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d and 1 j when four letters picked without replacement from ddcjwllcdcfccjwdccc.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 + 12*k**2 - 6*k + 6. Let j be q(9). Suppose 5*b = 5*x - j, 6*x - x - 177 = -4*b. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 432*a + 58*a - 99*a = 41837 for a.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 102493129 to the nearest integer?\nAnswer: 10124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 4) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m + 3 - 3)*(1 + 4 - 3 + m**4).\nAnswer: 2*m**5 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (8 + -9)*1*-3. Suppose -s*b = 2*b - 10. Solve 7*m - b*m + 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 75375853*u**3 - 5*u**2 - 8*u + 258854 wrt u?\nAnswer: 452255118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, 13, 1.27, 990 in increasing order.\nAnswer: -18, 1.27, 13, 990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 - 47*g**2 + 151*g + 50. Let s be y(-50). Put 2, -34, s in decreasing order.\nAnswer: 2, s, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 769*m + 1983. Let k(i) = 32. Let h(f) = -4*k(f) - t(f). What is the first derivative of h(x) wrt x?\nAnswer: -769","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/28557 at most 7\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 129 divided by 1\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 59*m**2 - 1178*m + 32. Determine s(18).\nAnswer: -2056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**3 - 2*y**3 - 3*y**3)*(-1 + 4 - 6)*(y**2 + 2*y - 2*y).\nAnswer: 21*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.87*-117\nAnswer: 101.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 4221474849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hpi when three letters picked without replacement from {i: 1, p: 4, o: 1, h: 6, b: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 56.6 + -0.6. Let v = 55 - r. Which is the second smallest value?  (a) v  (b) -1\/10  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*k**3 + 71220*k**2 - 253543185*k - 507371290.\nAnswer: -5*(k - 7123)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, -3\/23, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.21 + 0.09. Let z = 81 - 88.6. Let f = z - -8. Which is the second smallest value?  (a) -1  (b) f  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12633147.\nAnswer: 3, 1403683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -5*i + 185, h = 2*i - 0*h - 59. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 44160 + 3?\nAnswer: 44163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -2*k + 161. What is the remainder when 204 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 5*f - 5 = 0. What is the biggest value in -2\/5, -3\/4, f, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 129 divided by -3.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22897 or -33374?\nAnswer: -33374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 260512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*n + 16*n - 2*n**2 - 6*n - 21 - 4*n to b*n**2 + l + x*n and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7155 and 1215.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of 7*g**4\/6 - g**3\/6 - 3*g + 25. Let f(b) = 6*b**2 + 0*b**2 - 2*b**2 - 5*b**2. Give f(z(h)).\nAnswer: -196*h**4 + 28*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**2 - 5*o + 5. Let j(s) = -3*s + 5. Let h(m) = m - 2. Let d(k) = 4*h(k) + 2*j(k). Calculate -5*d(f) + 2*v(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -246  (b) -1  (c) 3198\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 225*b**2*n**2 - 122*b**2*n - b**2 - 250*b*n**2 + b*n + 6*n**2 + 2*n wrt b?\nAnswer: 450*n**2 - 244*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 5*t = -25, 412*n - 410*n - 4*t = -32 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 6855*m. Let l(o) = -19*o. What is y(l(f))?\nAnswer: -130245*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 3 = j, -278 = -11*j - 4*d - 275 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1615.7 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*x - 137*x - 120*x to the form t + o*x and give o.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3546 + 3548. What is the smallest value in -2\/663, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23900 is divided by 11718?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*2*(sqrt(90)*2)\/(sqrt(200)*2))**2.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5596 plus -2.68349?\nAnswer: 5593.31651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + d + 0)*(94 + 166 + 9).\nAnswer: 269*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (4266\/(-26544))\/(3\/(-16))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wpw when three letters picked without replacement from {k: 1, l: 1, a: 8, w: 9, p: 1}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 453.3738 litres?\nAnswer: 453373.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (144*b**2 + 258*b**2 - 25*b**2)*(-20 + 20 + 2*b) in the form y*b**3 + x*b**2 + j + g*b and give y.\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m**2 + 11*m + 4. What is f(8)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/520 and 113\/120.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 130*l**2 + 8 + 141*l**2 - 8 + 140*l**2 - 412*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 49 + -135. Let i = 92 + z. Which is the nearest to 0.1?  (a) i  (b) 5  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mxjxiijjijjjmjjjjmj. Give prob of sequence im.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3264)*-1 + sqrt(3264) - sqrt(3264))\/sqrt(3) - (-4 + sqrt(1700) + sqrt(1700)*-1 + sqrt(1700)))*4 + -5.\nAnswer: -72*sqrt(17) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 278073, 278056, 278039, 278022?\n\"Answer: -17*s + 278090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -123000200 - -2?\nAnswer: -123000132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-578)\/(7600\/544 - 14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*((-4)\/(-12))\/(9\/(-459))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tthf when four letters picked without replacement from hffetrftfe?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1021 + -313?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 15 = 0, 2*t + 2 = -0*m + 4*m. Let f(q) = q**m + 0*q + 3 + 2*q + 0*q**2. Let s(p) = p**3 - p + 3. Let h be s(-2). Give f(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 49, 145, 283, 463, 685, 949, 1255?\n\"Answer: 21*k**2 + 33*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103 is divided by 64?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -302*h**2 - 2*h**4 - 1 - 14*h + 13*h + 309*h**2 as j*h + d*h**4 + a + s*h**3 + b*h**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 123 = -j, -3*s - 119 = 2*s - 3*j. Let k = 24 + s. Which is the biggest value?  (a) k  (b) 3  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -46 - -70. What is the least common multiple of 16 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34\/136)\/((231\/36)\/(-7)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -534*(-8 + 69\/9). Solve -i*y = -184*y + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 3*g + 15. Let l(o) = 2*o + 9. Let d(s) = -3*j(s) + 5*l(s). Let v be (7 + 2)*12 - -4. Let f(a) = v - 112 + 5*a. What is 30*d(c) - 5*f(c)?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -9*v**2 - 8. Let r(b) = b**2. What is r(m(n))?\nAnswer: 81*n**4 + 144*n**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*y**5 - 4*y**5 + 0*y**5 + (-2*y**3 - y + y)*(-3*y**2 + 2*y**2 + 0*y**2) + 9*y**5 - 19*y**3 + 19*y**3.\nAnswer: 7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2 - 10 + (-2 - 4 + 4)*(-4 + 2 + 3))*(16*d - 11*d - 19*d)*(-4 - 3 + 6) + 5*d + 4*d - 3*d to the form g*d + a and give g.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000020721 to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1387, 1403, 1433, 1483, 1559, 1667, 1813?\n\"Answer: o**3 + o**2 + 6*o + 1379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/2 in -1.1, 0, 601?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -z + 48. Let g be 1 + (3 - 1) - -37. Calculate the greatest common factor of g and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 10:11 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 220, 436, 652, 868, 1084, 1300?\n\"Answer: 216*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(1053) + 3 + 1 + sqrt(1053)).\nAnswer: 24 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2531941 - 2?\nAnswer: -2531943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.14 + 0.3. Let g = h + 0.28. Round g to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wiy when three letters picked without replacement from uiyww.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4012*l + 89 - 268 + 7601*l - 3596*l.\nAnswer: -7*l - 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 131604180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -3*y + 3*y - 5*y + 2*y. Let i(c) = -6*c**2. Calculate a(i(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 897879491 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y - 1. Let w(r) = -8*r - 6. Let u(j) = 6*m(j) - w(j). Let z(n) = -64*n**2. What is z(u(g))?\nAnswer: -256*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 - m**2 - 1. Let s(x) = -x**3 + 8*x**2 - 2*x + 4. What is 5*c(d) + s(d)?\nAnswer: 4*d**3 + 3*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 72 = 3*z, -3*z - 26*n = -28*n - 68. Calculate the greatest common factor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1020 - 231?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**2 - 6*w - 3. Let b be d(-5). Suppose z + b = 14. Suppose 3*r - z = -3*q, -32 = -2*q - 3*q + r. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -158 - -170. Solve 5*s + 17 = j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s**2 + 2*s - 1. Let r be y(-2). Suppose r*n - 44 = 52. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 183 >= 182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1401*f*j**3*q**2 + 69*f*j*q**2 + 42*j**3 + 178*j**2*q**2 - 3*q with respect to f.\nAnswer: 1401*j**3*q**2 + 69*j*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.23 - 3.23. Put t, -0.4, -0.3 in descending order.\nAnswer: -0.3, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 + 69*x - 58. Determine a(-69).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 - 6*l + 5. Suppose 3*j - 5*s + 1 = 0, -3*s + 4*s = -4*j + 37. Let k be i(j). Solve -18 = 2*q + 2*r, 5*r + k = -q + r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*s - 1537 + 3099 + 8*s - 6*s - 1523 as b + c*s and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31210.\nAnswer: 2, 5, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29641.\nAnswer: 29641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, -10, -13, -16, -19?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**2 - 4 + 4*p - 4*p**2 + 4.\nAnswer: -2*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52690 = -127*z + 51420 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 68699567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*h**3 + 6*h**3 + 7*h**3 + 5*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1690345158.57 and 0.1.\nAnswer: 1690345158.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -7*x**5 - 8*x**2 + 3*x + 3. Let d(a) = 13*a**5 + 15*a**2 - 5*a - 5. Let h(w) = -3*d(w) - 5*t(w). What is the third derivative of h(c) wrt c?\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.000018 + 2. Round l to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xrggrrrfxrxqxxqxrxq. Give prob of sequence qfq.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6652709599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {f: 3, m: 2, p: 6, v: 1, r: 4}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12228.\nAnswer: 2, 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 7*j**2. Let l(b) = 14*b. Determine l(f(y)).\nAnswer: 98*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 101012208 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18615 and 15555.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 - (-15)\/20*2. Let r = -116\/765 + -6\/85. Which is the third biggest value?  (a) 1\/3  (b) j  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -h - 16, 6*t - 6 = 5*t + 3. Suppose 6*z - z = 0. Solve h*l - 3*l = z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*h**2 - 4*h - 27*h**4 - 11*h**4 - 7*h**4 + 5*h + 14 - 13 to x*h + z + b*h**2 + l*h**4 + g*h**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -11 and -968.\nAnswer: 10648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1572*v = 1579*v. Put v, -5, 108 in increasing order.\nAnswer: -5, v, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -3*h - 70. Suppose h*d = 41*d - 12. Solve d*v - l - l = -2, -l - 5 = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2830 and 535.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**3\/5 - 41*a**2\/5 + 92*a - 1248\/5.\nAnswer: (a - 24)*(a - 13)*(a - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 235978?\nAnswer: 2, 117989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w**3 - 6114*w**2 + 2113043 - 2113043.\nAnswer: -w**3 - 6114*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -91, -184, -277, -370, -463, -556?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -4005.\nAnswer: 2\/4005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 2*y + 13, y = -3*y + 4*a + 16. Let o = 118 + -119. Put y, 7, o in ascending order.\nAnswer: o, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112\/(-48)*1323\/1372?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 7:55 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8370594 years in decades?\nAnswer: 0.08370594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2282, -10523, -18760, -26993, -35222?\nAnswer: -43447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**3 + 4*c**2 - 36*c - 36.\nAnswer: 4*(c - 3)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - -3*8\/(-6). Let p(s) = -34*s - 3. List the prime factors of p(u).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 14\/11*f**2 - 2\/11*f**3 - 20\/11*f = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 37409 + -9165146\/245. Let v = -1044 - -51154\/49. Let r = v + d. Is 1 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5678 is divided by 63.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - 4*t = 0. Suppose -6*f + 8 + 28 = t. Let j(p) = p**2 - 3*p - 2. Give j(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oololoooooo. What is prob of sequence lo?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3484, 27740, 93574, 221776, 433136, 748444, 1188490, 1774064?\n\"Answer: 3465*w**3 - w**2 + 4*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 2, w: 3, p: 1, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2469 - 2468.9. Which is the second smallest value?  (a) 4\/3  (b) 53  (c) -2\/11  (d) m  (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20 and 41530?\nAnswer: 83060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 0.008?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 12) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75852.37 nanometers to centimeters.\nAnswer: 0.007585237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 53711809?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 0*y = -8. Let n be (-303)\/(-18) - y\/(-12). Solve 2*d + n = 4*m + 5, m - 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**2 - 6*k - 1. Let p be b(7). Let c = -8 + 10. Suppose -c = -2*l + 4. Solve 0 = -2*y + p*y + 4*h + 20, -l*h = -2*y - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 249*u**3 + 15*u**2 - 10*u + 11. Let y(q) = 125*q**3 + 7*q**2 - 5*q + 5. Let l(c) = -2*d(c) + 5*y(c). Is l(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 971308181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 3*p - 0. Calculate the remainder when 592 is divided by (-1)\/p - (-31)\/((-2387)\/(-1320)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150026*y - 150076*y = 1013 + 187 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - p + 4)*(-2*p**2 + 2*p**2 + 4*p**3).\nAnswer: -4*p**4 + 16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f + 15. Let d be w(5). Let v(y) = -y**3 + 9*y**2 + 9*y + 14. Let a be v(d). Suppose a*s - 92 = 3*s. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -249 - 27 = -4*c. Suppose 5*i + 2*f + f = 399, 3*f = i - c. Calculate the remainder when i is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 20 = 5. Let n(b) = -b. Let y be n(2). Does 6 divide 8\/l*(-9)\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/(-2) - 0)*1. Let m = 6 - 4. Suppose m*x + 15 = 5*x. Put u, 3, x in decreasing order.\nAnswer: x, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o**3 - o**3 + 2*o**3)*(0 + 2 + 5 + 1).\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16.16 - 0.16. Let x = -13 + d. Which is the biggest value?  (a) -7  (b) 5  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 5*z**3 + 23*z**2 + 153*z + 57. Determine t(-5).\nAnswer: -758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 15, 632 = -5*p + 8*p - 2*x. Is 84 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 510947 times -5.32?\nAnswer: -2718238.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -200 + (-61 - -76) + 133\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*f + 3056 - 2990 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*y**2 + 1448*y + 553518*y**4 + 191*y - 1 + 2 - 553516*y**4 - 4*y**2 in the form r*y + c*y**2 + h*y**4 + p*y**3 + a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the first derivative of 4 + 1\/3*v**3 + 1\/2*v**2 + 0*v. Find the second derivative of q(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 471 times -0.1507?\nAnswer: -70.9797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-2*-2*(sqrt(192)\/(sqrt(800) - sqrt(8)))\/sqrt(8))**2.\nAnswer: 256\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -2*b + 7. What is the remainder when 87 is divided by y(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1613 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -256 + 71404?\nAnswer: 71126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 6*s - 7*s = -8, -4*p + 29 = s. Suppose p*f - 13 = -6*f. Let b = 3265\/19 - 172. Which is smaller: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.06 - -0.36. Let t = -14\/57 - 29\/114. Which is the fourth biggest value?  (a) 3  (b) h  (c) t  (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-2 - (-2 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291257 to the power of 1\/2, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 + 4*q - 21. Let a be s(-6). Let h(m) = -m - 4. Give h(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -62 + 49. Let u = -10 - k. Let 15\/4*g**u + g**5 + 0 + 7\/4*g**2 + 1\/4*g + 13\/4*g**4 = 0. What is g?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 96095\/18 - 5331. What is the common denominator of n and 43\/3254?\nAnswer: 29286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16987, -17156, -17293, -17398, -17471?\nAnswer: -17512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*j + j + 4*j)*(3*j**2 - 3*j**2 + 2*j**2 + (3*j - 5*j + 0*j)*(-3*j - 3*j + 5*j)).\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*k = -514367 - 334336 - 1441497. List the prime factors of k.\nAnswer: 2, 5, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -85006056 or -680048457\/8?\nAnswer: -680048457\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2. Let l(w) = -263285*w + 33. What is l(c(s))?\nAnswer: -263285*s**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vwwfvvwvwwwwufvvv. What is prob of sequence wwu?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -396 = 6*u + 6*u + 24*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u**2 + 3*u + 1. Let t be q(-2). Suppose 6 = -v - t*r, -3*v - 5 = 5*r + 1. Solve -v = l + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5*x**2 + 16997*x - 252578 wrt x?\nAnswer: -10*x + 16997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l**3 + 3*l**2 - 105*l + 17. Let o be y(9). Put o, -2, -3 in decreasing order.\nAnswer: o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 104052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -132517.\nAnswer: -2\/132517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bcc when three letters picked without replacement from {c: 2, b: 3, e: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5413473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8343, -8340, -8335, -8328, -8319?\nAnswer: -8308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 2*a**4 - 2 + 2 - 3*a**2 + 4*a**2 to the form u*a**4 + k*a**3 + p + f*a + d*a**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 329318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/19  (b) 28  (c) 133\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 103 - 72. Suppose 13 = 11*f - k. Solve 0 = 2*l + f + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40824344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*p - 61*p + 1 + 8*p.\nAnswer: -69*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4378, 32776, 109878, 260038, 507610, 876948, 1392406, 2078338?\n\"Answer: 4059*h**3 - 2*h**2 - 9*h + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-52*q**3 + 3*q**4 - q**2 + 54*q**3 - 8*q**4)*(8 - 8 + 1).\nAnswer: -5*q**4 + 2*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 115 - -173. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 + o + 7. Let a be (2\/(-2))\/((-5)\/25). Let r(m) = 2*m**2 - 2*m - 13. Let k(b) = a*p(b) + 3*r(b). Let n be k(3). Solve 15 = 5*t - n*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 759, 776, 807, 858, 935, 1044, 1191?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1996 - -2012. What is the greatest common divisor of v and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -685\/33 - -62\/3. Suppose -5*g = 5*f + 25, 2*g = g + 4*f + 5. Let h be ((-384)\/(-66) - 16) + 10. Which is the nearest to w?  (a) h  (b) 2\/17  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 6*v + 16. Let k = 591\/4 - 589\/4. Which is bigger: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 4*l**2 - 3*l - 6. Let u(c) = 9*c**2 - 7*c - 14. Let s(q) = -7*a(q) + 3*u(q). Let m(t) = -2*t**2 - 7. Give -m(x) + 3*s(x).\nAnswer: -x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -35*r**2 - 700*r + 7. What is the remainder when 2976 is divided by j(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, 13.23, -0.2, -3.06 in decreasing order.\nAnswer: 13.23, -0.2, -1\/3, -3.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -366045 (base 14) to base 5.\nAnswer: -434013433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 36*t**3 - 62*t**2 - 36*t. Let f(g) = 7*g**3 - 12*g**2 - 7*g. Let p be ((-6)\/(-4))\/(3\/(-32)). Let z(d) = p*f(d) + 3*i(d). Solve z(o) = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7939599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the third derivative of i**7\/1155 - i**6\/165 + i**5\/55 - i**4\/33 + i**3\/33 - 24*i**2. Factor q(m).\nAnswer: 2*(m - 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152049 is divided by 7238?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28712, 63989, 99266, 134543, 169820?\nAnswer: 205097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 5:37 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 342 = -g + 6*v, -g + 338 = -4*v. Let k be g\/24 - (-6)\/(-8). Calculate the highest common divisor of 42 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 122*p - 424*p - 850 = -246 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 265369 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 3896863220 to the nearest one million.\nAnswer: 3897000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 50 + -27. Let x = m - 23. Which is bigger: x or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 1433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*z - 4 + 4)*(-2 + 5 + 5) as h*z + f and give h.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 39756614 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 474 - 458. Let i = -17 - -33. Suppose -i = -3*l - l. Solve l*b = -0*b + g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 20?  (a) -0.3  (b) -0.1  (c) -11  (d) -12\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 4*k - y - 194, 243 = 5*k + y. Let u = 97 + -90. Calculate the greatest common divisor of u and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ykkeykkykn. What is prob of picking 3 y and 1 k?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -6*b + 8. Suppose -b*t + 3*t = 0. Suppose 68 = 5*y - 2*x - 2*x, -x - 2 = t. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.39621 - -0.59621. Let m(w) = w**3 - 6*w**2 + 4*w - 4. Let l be m(5). What is the nearest to 1 in s, -4, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q**2 + 101*q**2 + 80*q**2)*(2 + q**3 - 2).\nAnswer: 177*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54679 is divided by 54635?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4035700564 to four decimal places.\nAnswer: -0.4036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0172145989 to five dps.\nAnswer: -0.01721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -8*c**3 + 11*c**2 + 134*c + 24. What is the smallest common multiple of g(-10) and 40?\nAnswer: 38920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4\/3, -0.4, -2 in increasing order.\nAnswer: -2, -0.4, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 98050 or -465?\nAnswer: 98050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -15\/20789 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**1*x*x**(-3)*x*(x**(-2\/3))**(-41) assuming x is positive.\nAnswer: x**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 + 19. What is the first derivative of -3*h - 2 - i*h - 2*h + 1 wrt h?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 256927 is divided by 60?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/7)\/y**(-1\/9))\/(y**(-1\/4))**(1\/28))\/((y*y**(-2\/7)\/y)**(-4)\/(y*y\/(y*y**(-2\/5))*y)**(-35)) assuming y is positive.\nAnswer: y**(-85991\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-16)\/(-20))\/(1\/5) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + w + 3329, -4*s - 2*w + 1652 = -2*s. Let b = -628 + s. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37558, 37554, 37532, 37486, 37410, 37298, 37144?\nAnswer: 36942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 193 + (-96 - 2) - 58\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 3*p = 4, -p = -3*i - 0*p + 12. Let u = -17 + 17. Suppose 4*y + 5*l - 64 = u, 2*y - 10 = 4*l - 4. Solve -i*o + y = -1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -60 - -64. Let p(t) = 5 - 1 + 3*t**3 - 6*t - 4*t**3 + 6*t**2. Calculate the lowest common multiple of h and p(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24*(-2)\/(1*21\/(-7))*-1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6943 - 3895. What is the highest common divisor of 24 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8869, 17420, 25967, 34510?\nAnswer: 43049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - -131201?\nAnswer: 131144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 10102211 (base 3) in base 13?\nAnswer: 11aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3693310 is divided by 307771?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 7:44 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 58\/120 + 103\/(-309). Suppose 0 = -5*q + 4*r - 20, -4*r = -5*q + 2*q - 20. Is j smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the second derivative of w**3\/6 + 5*w**2 - 2*w. Let f be h(-9). Let p = -0.04507 - -0.34507. Which is the nearest to 2?  (a) f  (b) p  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 144702 != 144584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/2)\/((8\/(-2))\/292). Is z less than 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vbcwwbvggvvvbcvvgw. Give prob of sequence vw.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 66066169999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - 4. Let j = 20.52 - 21. Let y = -0.18 - j. What is the third biggest value in y, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31 (base 8) to base 5.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 6*o - 3. Let t(k) = k**3 - 2*k**2 - 5*k + 13. Let b be t(4). Let y = b + -22. Calculate x(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3765 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a - 8. Let z be s(-11). What is the first derivative of 4 + c**3 - c**z - 6*c**3 wrt c?\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = -5*q + 135. Suppose q*m + 3 = 16*m. Solve -3 = 4*r - 2*z - 17, m = -z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*h**2 + 21*h - 24*h - 1 + 4*h**3 - 10*h**3 + 3*h**3 to y*h + s*h**2 + w*h**3 + v and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 - y**2 + 2. Let r be n(0). Suppose -136 = -24*m + 7*m. What is the highest common divisor of m and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 1:39 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + 47 = -7. Let h be (-20)\/6*x\/(-15). Solve 4 + 9*s**h - 10*s - 7\/2*s**3 + 1\/2*s**4 = 0 for s.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -9*w + 22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 544*d. Let y(t) be the first derivative of 2*t**2 - 11156. Calculate y(q(i)).\nAnswer: 2176*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5972409449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 360814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/19  (b) -16  (c) -17\/28  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of -w**6\/240 + 127*w**5\/40 - w**4\/4 + 2*w. Let t(j) be the third derivative of x(j). Is t(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 3*c - 12 = c, 0 = 2*d + c + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4280.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 - 0*1\/4. Suppose 5 - 221 = -t*a. Suppose 0 = -3*g - g + a. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2714 and 91037.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - (-5 - -9)) + 0 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*r**4 + 48*r + 8466 - 8466 + 27*r - 3*r**4 - r**2 - 2*r**3 to the form t*r**4 + y*r**2 + m*r + z*r**3 + x and give m.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 152. Let b be -3 + 2 - f\/12. Which is bigger: b or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 5*t - y, 293071*t - 293067*t - 2*y - 6 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 896530784?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4636707, -9273414, -13910119, -18546822, -23183523, -27820222?\nAnswer: -32456919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 217.87 + -1.87. Let c = -215 + o. Which is bigger: c or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-2 + -2*(sqrt(832) + -1 + 1 + -3))**2 + 0.\nAnswer: -128*sqrt(13) + 3345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the third derivative of -269*l**6\/24 + l**5\/20 + 29*l**3\/6 - 49*l**2 - 11. Find the third derivative of k(b) wrt b.\nAnswer: -8070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 26485*m*s**3 - m*s**2 + 11*m*s + 2*m - 36*s**2 - 1 wrt s.\nAnswer: 158910*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*d + 14*d = 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.835 - -0.31. Let i = o + 0.225. Which is the second biggest value?  (a) -0.5  (b) -2\/7  (c) i  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 2*k = k - 39, -4*z = 4*k - 36. Solve -3*w = -0*w - z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -335123057 + 1?\nAnswer: -335123056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + -1d55d?\nAnswer: -1d559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 2*o - o + 2*r, -3*r - 5 = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 + 7*x**2 + 2*x + 1. Let p be w(-5). Suppose -90 = -3*j - 3*o, -j + 2*o + 45 = 6*o. Let z = p - j. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 10 = -26. Find the third derivative of -6*l**2 + r*l**2 - 1906*l**6 + 1832*l**6 - l wrt l.\nAnswer: -8880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z**2. Let n(m) = -56*m**2. Calculate n(q(w)).\nAnswer: -504*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2079199*z**2 - 2*z - 4105143.\nAnswer: -4158398*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 - 9*q - 12. Let p be d(10). What are the prime factors of (p\/4)\/(2\/(-120))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 9 - 1 = 2*d, -k = 4*d - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2286462 + -0.15.\nAnswer: -2286462.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -15 + -5 + 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/17))**34 assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-1980)\/(-7))\/3 - (-8)\/(-28). Let t = i + -91. Solve 0 = -m - t*g + 2*g + 6, -6 = 5*m - 4*g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 PM and 8:12 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 - x**2 + 15*x - 19*x + 4*x - 96 in the form n*x + c*x**2 + l and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 83.46 + -82. Round y to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-45))\/(36\/(-81))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8872001 nanograms in micrograms?\nAnswer: 0.0008872001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 44*w - 25 - 107. Sort -4, w, -14 in decreasing order.\nAnswer: w, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1859 a factor of 415264772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18 - -18. Suppose -v = -l*v - 12. Let c(g) = -g + 27. Calculate the remainder when 27 is divided by c(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dzr when three letters picked without replacement from {d: 1, k: 1, z: 2, r: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/90 and 23\/3019203?\nAnswer: 30192030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 734 or 699?\nAnswer: 699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.084412824 and 0.145.\nAnswer: 0.229412824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 31218387 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 271103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -6. Suppose -g*a = -27 - 6. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - -42445?\nAnswer: 42450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3\/4, 7\/13 in ascending order.\nAnswer: -3\/4, 7\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 8:19 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/((-3)\/6*2). Suppose 5*t - 4*u = 9*t - 68, -a = 3*u. Suppose -t = -3*q - 0. Let f(y) = y**2 - 5*y. Give f(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 67 - 13 = 0. Suppose -a = -5*i, r + 5*i = 40 - 15. Suppose 3 + r = 4*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 382 divided by 19\nAnswer: 382\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2 + 438*k - 1310. Determine x(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -76 + 81. Solve 2*p + f = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13 + -1 + (-6186)\/540 and -29\/16.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2306239 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 49850011 - 2\nAnswer: 49850009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 5*h**2 - h - 5. Let c be z(-6). Let k = -18 - c. Suppose 0 = -6*p + 4*p + 34. Calculate the greatest common factor of k and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*m**5 + 7*m**2 + m**5 + 4*m**5 + 3*m**5 wrt m?\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2027033878.357 - -4.\nAnswer: -2027033874.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -4*p**2 - 23*p + 15. Let c(a) = a**2 + 8*a - 5. Let i(f) = 7*c(f) + 2*m(f). Let u be i(9). Solve 0*q = q + u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -10*j + j**3 + 432 - 11*j**2 + 5*j - 17*j - 483. Let m be q(13). Let y(w) = -w. Let c be y(-6). Solve c = -k + m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1840768*f**4*g + 5*f**2 - 88*g - 123 wrt f.\nAnswer: -44178432*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/((-15)\/(-240)*16).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -40*k**2 + 1107*k + 139*k**2 - 100*k**2 + (-2*k + 3*k + k)*(-k + 6*k - 2*k) + 2*k**2 + k**2 - k**2.\nAnswer: 7*k**2 + 1107*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(1*(-2*sqrt(405) - sqrt(405)) + (-2 + sqrt(405))*2)*-4*-1)**2.\nAnswer: 10368*sqrt(5) + 60624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -10 + -3 - (-9 + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -833*c + 3892 = -555*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**1)**46)**(-43))**27 assuming y is positive.\nAnswer: y**(-53406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 11281, 88066, 296479, 702334, 1371445?\n\"Answer: 10969*t**3 + 2*t + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -100 by 13.\nAnswer: -100\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -53492*2\nAnswer: -106984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.34443953777 - -2.\nAnswer: 0.65556046223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 PM and 4:49 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 2*g = g - 15, 15 = 3*g. Let n(t) = -t**2 + t + 3. What is n(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 169506915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*6\/9)\/((-4)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 12 = a - 0*s, s = 3*a - 6. Suppose -4 = -4*x - a*g - g, -5*g - 31 = -x. Solve x*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-9)\/u)\/u**(2\/7)*u**(-9)\/(u\/(u*u\/(u*u**(-4)))) assuming u is positive.\nAnswer: u**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0032217 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 886166532?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 516 and 332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 274685597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 PM and 10:39 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1050 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*k + 3*q, 0 = 2*k + 2*k + 2*q. Let l(u) be the first derivative of 11*u**3\/3 + u**2 - u - 15. What are the prime factors of l(k)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -91 times 0.4\nAnswer: -36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 3*j - b + 22, 0 = 2*j - 3*b - 64. What is the remainder when 97 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -37*u. Let t(a) = -21*a. Give s(t(w)).\nAnswer: 777*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 584976 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34712 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, a: 2, r: 1, e: 2}. Give prob of sequence saa.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1287, -10314, -34807, -82500, -161127?\nAnswer: -278422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 6*w**2 - 32*w - 4. Let p be k(6). Suppose p*d = 33368 + 38052. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -172*t**3 + 0*t + 0*t + 168*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-12)\/4 - -2)\/(-1). Suppose b - 10 = -z - m, 2*b + z - 15 = 0. What is the lowest common multiple of 5 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4583*v**3 + 2*v**2 + 147*v - 6.\nAnswer: 27498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-3)*(-4)\/(-48)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 2*g = 2, 4*d - 4*g + 4 + 24 = 0. Let t be -9*1\/d*7. Let n = 14 - 14. Solve i + m - 5 = n, -m + t = 5*i - 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-3) - (-12)\/(-18). Suppose -v + 4*v - 6 = h. What is the units digit of (v - -1)*1*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 61368684, 61368685, 61368686, 61368687?\nAnswer: 61368688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 12\/9 + 2\/(-6). Suppose l + 7 + 17 = 0. List the prime factors of (h\/2)\/((-2)\/l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1764 - -3130. What are the prime factors of n?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.03?  (a) -4  (b) -3  (c) 2\/5  (d) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*l - b - 6, 215 = 3*l + 5*b + 222 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 11) + 0 + (-27 - -10) + -5.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = l - 3, 2*r + 1 = 6*l - l. Suppose 0 = 3*n + r*n - 60. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6745 + -6720. Solve 3*p + 7*r + 16 = 6*r, 5*r = -4*p - z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 408912 by 4868.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -5.15. Suppose 0 = -928*s + 6113*s + 25925. What is the second biggest value in v, 0.2, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 290 - 177. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 42.42 to 0 dps.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27518057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -3*n - 7. Let a be r(-7). Let i = 16 - a. Suppose i*j - 11 - 17 = 0. Calculate the remainder when j is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-321)\/(-21) + 10\/(-35).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17280110 rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6.889587 + -15.889553. Let j = k - -9. What is j rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 52833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 57*a**2 - 10*a + 35. Let x be s(3). Let w = 523 - x. Solve -w*l - l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 17*n - 1. Determine w(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/20 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -469 divided by 469?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -3*h**2 + 157*h - 3667. Give l(41).\nAnswer: -2273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**3 - 93*f**2 - 90*f.\nAnswer: -3*f*(f + 1)*(f + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/3)*p*p)**(-5\/2))**(-33) assuming p is positive.\nAnswer: p**(275\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -440126780 minus -759944?\nAnswer: -439366836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**4 - 7*y**3. Let i(o) = 500*o**4 + 28*o**3 - 77*o - 1. Let v(l) = -4*g(l) - i(l). What is the second derivative of v(q) wrt q?\nAnswer: -5952*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 403, 2, 38, 4, 0, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -45278  (b) 0.08  (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4675, -4754, -4887, -5074, -5315, -5610, -5959?\nAnswer: -6362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -42984021 + 42167316917\/981. Let z = -6\/109 - u. Let q = z - 149\/18. Which is bigger: q or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -243160 divided by -6079\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 3*b - 3. Let q(l) = -7*l + 7. Let j = 6 + -11. What is j*r(g) - 2*q(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 314?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2  (b) 44  (c) -1  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*(z\/z**0)\/z*z*z**(-2\/25)*z*z*z**7*z*(z**(-1)*z*z)\/z assuming z is positive.\nAnswer: z**(298\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67105?\nAnswer: 5, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*k - 4*a, -4*k + a - 6*a = -30. Solve 1 = -2*f - k*c, 2*f = c + 2 - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 9 = -3*v + 5*z, -v = -4*z - 9. Let l be -3*2*(-3)\/9. Suppose 2*c = 3*d - 61, 0 = -l*d - v*c + 4*c + 66. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/(h*h\/(h**0\/h)))**(2\/71))**(2\/7)\/(h**(-1\/8)*(h\/h**(-2\/13))\/h*h)**48 assuming h is positive.\nAnswer: h**(-319126\/6461)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 252328378 to the power of 1\/3, to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2*d**2 - 2*d**2 + 5*d**2 - 3*d**2. Let y(i) be the first derivative of i**3 + 40. Determine y(h(p)).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the second derivative of -t**2\/2 - 3*t. Let c(i) = -5*i + 7. Let y(v) = -4*v + 6. Let j(x) = -3*c(x) + 4*y(x). What is 5*d(g) + j(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 85815, 87111, 88419, 89745, 91095, 92475, 93891?\n\"Answer: u**3 + 1289*u + 84525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -390, -648, -878, -1080, -1254?\nAnswer: -1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -80 - -242. Let a = -15194 + 15235. Calculate the remainder when w is divided by a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 5*l - 1184. What is y(18)?\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 9.691271mm?\nAnswer: 9691271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 446 + -459 + 0 + -6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.29 - -0.09. Let y be 16\/(-154) + 4\/14. Which is the closest to 1?  (a) 1  (b) y  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the first derivative of 15*f**2\/2 + 6. Let w(h) = h. Calculate o(w(q)).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 4*d + 24 = 0, 3*d = -6*s + 4*s + 20. Let k(o) be the third derivative of -1\/60*o**5 + 2\/3*o**3 + 0 - 1\/8*o**s + 4*o**2 + 0*o. Determine k(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 - 9*m**2 + 37*m + 12. Let x(n) = n - 8. Let z be x(-4). Let r be s(z). Solve 2*a - 4 = -r*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 4:10 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + -4 + 1 + 1 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*p**2 + 10*p**3 - 12*p**3 + 13*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the second derivative of -11*a**5\/60 + 15*a**2\/2 + 14*a. Let o(b) be the first derivative of k(b). Let m(s) = s**2. Calculate o(m(h)).\nAnswer: -11*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*u = 6*u + 63. Let t(s) = -2*s**3 - 2*s**2 + 3*s. Let h(d) = -2*d**3 - 3*d**2 + 2*d. Give u*t(a) + 2*h(a).\nAnswer: 2*a**3 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -211 + 456. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 148414288 and 2.4.\nAnswer: 148414290.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -36*m + 326 + 286. Suppose -19 = 2*i + 1. Let y = i + 15. Solve 3*o - y = -m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -214, -429, -644, -859?\nAnswer: -1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2950 divided by 5\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 23367 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 15, 37, 81, 153, 259, 405?\n\"Answer: r**3 + 5*r**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 887*w + 500640 = 1693*w + 2312*w + 2097*w for w.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 1506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 75*o**3 + 2*o**2 + 3. Is i(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 5)*(3 - 2 - 2)*(-13 + 42 - 5*h - 23 + 19*h).\nAnswer: -14*h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k - 2*f + 8, -f - 20 = -2*k - 6*f. Determine s so that 0*s**2 + 2\/3*s**3 + 0*s + k*s**4 - 2\/3*s**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i + 2*i - i + (5 - 1 - 5)*(-3 - i + 3) + 3 + 2*i - 3 - 2*i + 1 - 1)*(-22 + 22 - 5*i**4).\nAnswer: -15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 152135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**2 + 587*k + 20558. Give d(-33).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9243)\/819 + -2 + 12?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68943880.\nAnswer: 2, 5, 23, 137, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6327 is divided by 43.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -4*m + 18, -41*m + 40*m - 18 = 4*a. Solve m*z = q + 30 - 32, -q = 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/12681 and 52\/4227.\nAnswer: 12681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 164 - 322. Let c be x\/(-6)*(-2 + 4 + -5). Let o = 3 - c. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*w + 4, -3*w = p - 2*w - 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13 and 986824527.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-8\/5)\/q*q*q)\/q)\/(q\/q**(-4)) assuming q is positive.\nAnswer: q**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 10, 14, 18?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 9*i - 3. Give t(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 144 + 59 + -76 + -76?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -8  (c) 2\/785\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 242844.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -259 + 250 + (0 - (52 + -8))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of -2*m**3 - 3*m**2 - 4. Let j(q) = 2*q**2 + 2*q. Let v(u) = -8*j(u) - 3*o(u). Factor v(d).\nAnswer: 2*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8.07842 - -0.07842. What is the second smallest value in -5, f, -2, -0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6062357*k**2*t**3 + 18*k**2 + 154*k*t**2 - 130*k*t wrt t.\nAnswer: -36374142*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand g + 2*g - 2*g + (-g - 2*g + 4*g)*(16 - 22 + 61).\nAnswer: 56*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l**4 + 2689169*l**3 - 7529643*l**2 + 4840479*l = 0. Calculate l.\nAnswer: 0, 1, 9\/5, 537831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/(-30) - (-523)\/(-3). Let t = d + 199. Solve 10*u = 5*u - t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**5 + v**3 + v**2 + v + 1. Let b(w) = 28*w**5 - 88*w**3 + 128*w**2 - 156*w + 16. Let g(c) = b(c) + 24*x(c). Factor g(p).\nAnswer: 4*(p - 2)*(p - 1)**3*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0, 2\/7, 6, -5, -1\/32.\nAnswer: -7, -5, -1\/32, 0, 2\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 3*d - 73, -2*z - 15 + 7 = 0. Suppose d = -10*u - 39. Which is the smallest value?  (a) u  (b) -8\/7  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 34\/6 + (-2)\/(-6). Suppose 28 = -5*u + 253. Suppose u = -v + n*v. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*n + 0*n + n)*(6*n - n + 4*n - 7*n - 136) as y*n**2 + s + d*n and give d.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -68 + 69. Let r(j) = 8*j**2 + 5*j + 2. Let u be r(-2). Calculate the greatest common divisor of f and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 + 5*g**2 + 3*g + 6. Let y be l(-5). Let q = 13 + y. Suppose 6*j - 4*j + 4*w - 24 = 0, 0 = -2*w + q. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4764, 9783, 14832, 19923, 25068?\nAnswer: 30279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 - 11*h**2 - 28*h - 23. Suppose w = -4*r + 88, -2*r - w + 5 = -37. Suppose -6*p + r + 49 = 0. Let t be n(p). Round t to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-7)*q**7)\/(q**7*q*q**4\/q))\/((q**(-1))**(-43)*(q**(-1)\/q)\/q*q*q*(q\/((q*q**0)\/q))\/q*q*q*q) assuming q is positive.\nAnswer: q**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -120 + 112. Let x(v) = -280*v - 217. Let q(g) = 9*g + 7. Let u(p) = -63*q(p) - 2*x(p). List the prime factors of u(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1077\/8 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + 4)\/(9\/6). Let g be -1*(-3)\/2*u. Suppose 0 = -g*z + 2*z. Does 7\/5 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.66  (b) -2\/11  (c) 3\/7  (d) 3\/8  (e) 9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 745 = -5*s, -5*s - 5*w = -2*w + 761. Let v be s\/(-4) + (-6)\/8. Suppose v = 5*t - 28. Calculate the remainder when 36 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by 17.\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 749*f*i**3*z**2 - f*i**2*z**2 + 7*f*i**2*z + i**2*z**2 + 2*i wrt i.\nAnswer: 4494*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/13 - (-223)\/13. Let x be l\/6 - (-2)\/12. Suppose 0 = -x*p + 3 - 6. Is p at most -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4\/18123, -0.087 in increasing order.\nAnswer: -0.087, 4\/18123, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.076 times -23?\nAnswer: 47.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10722155?\nAnswer: 5, 17, 126143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 12940 divided by -5\nAnswer: -2588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2021050 and 55610.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1, -2, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 135 + 33. Calculate the greatest common factor of 24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (39\/6 - -2) + 3\/(-6). Let x be -370*((-12)\/p)\/3. Suppose -i + x = 40. What are the prime factors of i?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -283*l**3 + 4*l**2 - 2*l - 6. Let u be r(-2). Let p = -8387 - -18940. Suppose -p = -5*c - u. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2890, 2933, 2974, 3013?\n\"Answer: -s**2 + 46*s + 2845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14883958.\nAnswer: 2, 131, 56809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-29))\/1*(-29 - (-20960)\/720)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12111031 (base 4) in base 6?\nAnswer: -320021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001602643 rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23032 (base 7) to base 14.\nAnswer: 21c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/36)\/(9\/(-12)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 539388.\nAnswer: 2, 3, 14983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 39, 65, 91, 117?\n\"Answer: 26*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = -13*g + 1045. Suppose -428 = -4*l - 3*m - 2*m, 321 = 3*l - 4*m. What is the remainder when l is divided by g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 PM and 6:46 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = -0*s + 3*s - 6, 2*s - 4 = 3*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s - 12. Let l be k(8). Let q(j) = 0 - 3*j**3 - 4*j - 5*j**2 + 5 + 2*j**3. What is the units digit of q(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/3, -15, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s**2 + 44*s - 508. Let k be c(-37). Calculate the highest common factor of 224 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1630 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 10650000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 - -5 - (-2 - 5). Suppose -3*n + 0 = -c. Let d(z) = z**2 - 3*z - 2*z + 2*z - z + n. Calculate d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*g - 5 + 7 - 122*g - 2.\nAnswer: -132*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -127?\nAnswer: 4\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*q + 585 + 55. Suppose -4*z = -m + z + 31, 3*m - 2*z = q. Calculate the highest common factor of m and 416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 + 34 - (-5 + (-2 - -6)). Let a = g + 98. What are the prime factors of a?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/2))**(-41)\/(s\/(s**(2\/3)\/s))**(6\/17) assuming s is positive.\nAnswer: s**(-713\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, j: 13}. Give prob of sequence xxx.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 43*h - 2. Let d(m) = 118*m - 9. Let w(v) = -4*d(v) + 11*j(v). Determine w(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 48\/15 - (-2)\/(-5) and 2\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 + -7. Suppose -l*g - 3*g = -10. Suppose 5 = 3*y + g. What is the greatest common factor of 3 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -2*f**2 + f. Suppose -7*j = -2*j - 5. Let p be w(j). Which is bigger: 2\/11 or p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 408 = 4*w. Let i be 1*(-6)\/8 - 568\/(-32). What is the greatest common factor of i and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 53.66158 seconds?\nAnswer: 53661580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*v - 3*s + 16880 = -11*v, -2*s = -5*v + 42200. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65 = -10*u - 3*w - 2*w, 3*u + 3*w + 15 = 36 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 14, p: 5}. Give prob of sequence yppp.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (50\/(-725))\/(40\/(-3596)).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (4 + -1) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 l, and 1 f when three letters picked without replacement from flrlrlrllflfl?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 18*b - 9. Suppose -6*f + 2*f = -24. Let m be t(f). Suppose m = 4*s - 5*c, -2*c = 5*s + 2*c - 175. Is s a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -333101 (base 7) to base 2.\nAnswer: -1110010101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*u**5 + 679*u**4 - 6719*u**3 - 30751*u**2 - 13611*u = 0. Calculate u.\nAnswer: -349, -3, -1\/2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**29*x)\/x*x**(1\/50) assuming x is positive.\nAnswer: x**(1451\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8.43 - 8.4927. What is y rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2 + 4*a + 7. Let d be i(5). Suppose 0 = -f - 3*q - 2, -5*f + 3*q + 18 = -d*f. Solve -3*n = -f*z + 16, 0 = 4*z - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {j: 4, e: 8, c: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2859101074 a multiple of 478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z - 3. Let t be (57\/(-15) + 3)\/((-42)\/(-105)). Let v(g) = -2. Give t*r(j) - 2*v(j).\nAnswer: 2*j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*a**2*c**2 + a**2*c*g - 692*a**2*g - 88*c**2*g wrt c.\nAnswer: 6*a**2 - 176*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9920 and 0.3.\nAnswer: 2976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 6*l + 23*l + 14*l.\nAnswer: 43*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/534 and -23\/3310444.\nAnswer: 9931332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 4, 5, 206.8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/6 + 647\/6. Does f = 109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3345311?\nAnswer: 17, 19, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.7 + 15.336.\nAnswer: 11.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -9036317 to the nearest ten thousand.\nAnswer: -9040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of -n**8\/8 + n**4\/2 - 5*n. What is the third derivative of b(c) wrt c?\nAnswer: -840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -47965735 divided by -9593147.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.06 and 3824.3?\nAnswer: 229.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 PM and 8:09 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*v**3 + 414*v - 14438 wrt v?\nAnswer: 15*v**2 + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*x + 125 = -23. Solve 1\/4*c + 9\/4*c**5 + 11\/2*c**3 - 2*c**2 + 0 - 6*c**x = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of 4 + 4*c - c**3 - 2 - c. What is the derivative of t(u) wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 860824829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5699353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18328128 by -572754.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 6*sqrt(675))**2.\nAnswer: 540*sqrt(3) + 24309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 46869102919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 10853334326 plus -0.4?\nAnswer: 10853334325.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 6:01 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 7 - (3 + 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 3*b - 5*v, b - 3 = -4*b - 3*v. Solve b = 3*r - 12, -2*d - 3*r + 23 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8257 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/90 - 38192\/521730. What is the nearest to 0.3 in 0.01, v, -2\/3, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -66 + 6a?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7608 and 7638.\nAnswer: 9684984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**2 - b**2 + 358*b**3 - 239*b**3 + (-2*b**3 - 2*b**3 + 2*b**3)*(3 + 2 - 3) + 0*b**3 + b**3 - 2*b**3 - 4*b - 2*b**3 + 4*b.\nAnswer: 112*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.7557161 rounded to 2 dps?\nAnswer: -10.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 - 7*c**2 - 11*c - 70. Does 34 divide d(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -7*w**2. Suppose 4 = 3*v + 1, 2*q + 3*v - 33 = 0. Suppose 52*i = 57*i - q. Let n(s) = -7*s + 5*s - i*s + 4*s. What is g(n(k))?\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = t - 3*x, 2*x = -5 - 1. Suppose -39*p = -45*p + 1368. Suppose -6*i - 174 + p = 0. Calculate the remainder when t is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*r**2 + 2*r**2 + 3*r**2 - 5*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -6*q + 17. Determine a(13).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is f in f**2\/10 - 382*f\/5 + 72962\/5 = 0?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000460991 to 6 decimal places.\nAnswer: 0.000461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and 3.0673.\nAnswer: -0.61346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -47.5 + 47.46. Let c(r) = -13*r + 3. Let u be c(6). Let n be 1 - (u\/(-27) + -2). What is the closest to f in n, 2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*q - 85 - 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3311311200 + -1?\nAnswer: -3311311201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -199*s - 194*s - 192*s - 185*s - 220*s + 982*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 13049439 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that n**5\/5 - 26394579*n**4\/5 - 105578326*n**3\/5 - 158367494*n**2\/5 - 105578331*n\/5 - 26394583\/5 = 0.\nAnswer: -1, 26394583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 299 = v - 3*s, v - 287 = -2*s - s. Let d = -188 + v. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/4)\/((-15)\/(-12))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(98) + sqrt(98)*2 + sqrt(98))\/sqrt(7))\/(sqrt(16)\/sqrt(2)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {h: 1, d: 2, n: 1, g: 1, s: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -5. Suppose 0 = d + 4*q + 6, 33*q - 38*q = d + 8. Sort d, -3, z, -1 in increasing order.\nAnswer: -3, -1, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -31031202 + 113?\nAnswer: -31031023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 87758, 351032, 789816, 1404110, 2193914, 3159228, 4300052?\n\"Answer: 87755*t**2 + 9*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-8*10\/560).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xyhxhkxkhkxxx. Give prob of sequence yhkk.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 5:41 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 33048839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = 4*k + 3, 2*m + k - 66 = -79 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 3*n**2. Let l = 1302 - 1305. Let d be (-108)\/(-21) + (-2)\/14. Let a(q) = -2*q**2 + 5 - 4*q**2 - d. Determine l*a(p) - 5*j(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6\/16*-692*(816\/(-9))\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9.3 - 5.7. Is 2 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 21*v - 125741. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1201, 14892, 53569, 129724, 255849, 444436, 707977?\n\"Answer: 2082*x**3 + x**2 - 886*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/105*-33 - 2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 - m**2 + 3*m - 2. What is d(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.215840689 rounded to four dps?\nAnswer: -0.2158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -4 + 2 - -4 - (-143 - -162)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 8240 (base 12) to base 14\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -76367 - -129300. Let x = t + -5928413\/112. Let j = 1534 - 6085\/4. Find the common denominator of j and x.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 6, k: 7, a: 6}. Give prob of sequence kk.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 + 17*c**2 - 36*c - 49. Suppose 3*k - 29 = y, 3*y - 2*k + 0*k = -52. Is g(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5520091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((12\/2)\/(441\/(-1470)))\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 2 - 1)*(-11*j - 3*j + 7*j) + 1 - 1 + 5*j)*(-5*j + 4*j + 4*j).\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rsksrrsrrrrrksrrrrsr?\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of -17*v**5\/60 - 85*v**4\/24 + v**3\/3 + 150*v**2. Find the second derivative of z(c) wrt c.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100011010010011110 (base 2) to base 12\nAnswer: -6b792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1994264096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooooopppppop. What is prob of sequence po?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2166 is divided by 95?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(114)*3*4*-5)\/((sqrt(216)\/(2*sqrt(9)))\/(sqrt(4) - sqrt(640)\/sqrt(10))).\nAnswer: -720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 54\/5 of a gram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -9*p. Let h(w) = -703*w + 11. Give h(g(s)).\nAnswer: 6327*s + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 173580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 515364, 515365, 515366, 515367, 515368, 515369?\nAnswer: 515370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13) + -1)*4)**2 + (sqrt(130) - sqrt(130)*-1 - sqrt(130))\/sqrt(10).\nAnswer: -31*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 252.5  (b) 1  (c) -10  (d) 2  (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of -31*g**2 + 13*g - 5. Let z be f(-6). Let p = -275 + z. Calculate the greatest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 228\/5*z**3 + 256\/5*z + 38\/5*z**4 + 448\/5*z**2 + 0 + 2\/5*z**5 = 0?\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**5 + 2*a**4 + 4*a**2 + 4*a - 4. Let x(n) = n**4 + n**2 + n - 1. Let j(q) = -h(q) + 4*x(q). Factor j(f).\nAnswer: -f**4*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13628078?\nAnswer: 2, 73, 269, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.5441 - -0.54426485. What is j rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4*r - r - 2*r)*(-280*r - 250*r + 634*r) + (r**2 + r**2 - 3*r**2)*(2 - 2 - 1).\nAnswer: 105*r**2 + 104*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2*j**2 - 1. Let o(p) be the third derivative of -p**4\/4 - 16*p**3\/3 - 12*p**2 - p. Let l be o(-5). What is b(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 301 - 1216000?\nAnswer: -1215477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 5*w - 696077, -k + 0*k = 5*w - 232009. Suppose -157966 = q + k. What is q rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 282*v**2 + 427*v + 431. Give u(-1).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 4*l + 0*l - 17 = 0, 0 = 3*i + 3*l - 33. Suppose i*q - 10*q + 7 = 0. What is the second derivative of -q*x - x**5 - 15*x - 3*x wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.18*24.\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 16821 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6585 - -14085. Let i be (241600\/15)\/((-1)\/d). What is i rounded to the nearest one million?\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 3*j - 3 = 0, 0 = 2*p + 3*j - 5*j - 10. Let r(n) = 3 - 2 - 3*n**2 + 5*n**2 - 6*n. Is r(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from zwwo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 270, -0.098, -2\/13, -4.\nAnswer: -4, -2\/13, -0.098, 5, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4059\/7980*310\/30. Let f = n - 4\/665. Let f*r - 9\/4*r**2 - 3\/2 = 0. Calculate r.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 244376 and 704?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 144 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13 + 33. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.7 + 1.3. Sort t, -0.4, -5 in ascending order.\nAnswer: -5, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1783*g**3*m**2*v - 18*g**3*m*v - 47*g**2*m**2 - 134*g**2*m*v wrt g.\nAnswer: 10698*m**2*v - 108*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 994 - 999. Which is the nearest to j?  (a) -2\/19  (b) -12  (c) -2  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 166*t + 6 = 168*t, -t = y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i**3 - 7*i**2 - 3*i + 12. Calculate the least common multiple of 837 and k(5).\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0063 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 - 83482*o + 41734*o + 41740*o.\nAnswer: -8*o - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -64, -590, -1470, -2704?\nAnswer: -4292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*n**3 - 688*n**3 + 1158*n**3 + (0 + 0 - 2*n)*(-n**2 - 3*n + 3*n) to w*n + i*n**2 + u*n**3 + t and give u.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 2, -1310, 22, -21\/2, 5 in descending order.\nAnswer: 22, 5, 2, -0.2, -21\/2, -1310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 PM and 12:43 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 + 3*t**2 - 306*t + 610. Let g be a(2). Suppose 3*x = -3*d - x + 40, 2*d = x + 45. Solve -g*b - 22 + d = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a - 2. Let y be 0*(-2)\/4*12\/(-48). What is i(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5452031?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -212 + 199 - (-21 + -2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 144480000 to the nearest one million.\nAnswer: 144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a + -1c3?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i - 35 = 13. Suppose -3*w = -4*r + 6, 2*r + r - 2*w = 4. Suppose r = 5*v - v - 20. Sort i, -3, v in ascending order.\nAnswer: i, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 587784530 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -343039, -341955, -340157, -337651, -334443?\nAnswer: -330539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g - 4*g**4 + 6*g**4 - 8*g)*(-13 + 0 + 4).\nAnswer: -18*g**4 + 117*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -6\/5  (b) -0.3  (c) -3123  (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/7  (b) 4  (c) 32\/5  (d) 0  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, -73, 0.5, 2\/3, -0.5?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 121631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -111 (base 4) to base 10\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.713339 and 19549?\nAnswer: 19549.713339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 940 - 412. Suppose -9*k + 1797 = j. List the prime factors of k.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 27*y**2 + 7*y + 6. Let m(t) = 81*t**2 + 20*t + 17. Let l(i) = 6*m(i) - 17*z(i). Let s be l(1). Calculate the greatest common factor of 42 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 - 45*r**2 + 41*r + 567. What is the hundreds digit of x(48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hmuhhuurmmkhhhr. Give prob of picking 2 h and 2 r.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 149399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-90181)\/87208 - 2\/(-16)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99*l - 98*l + 715 = d, 2*d = 3*l + 1425. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21657922 = -184*m + 272918570. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 + 825*f + 7298. Determine y(-9).\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 35*r + 94. Let m be f(1). Calculate the highest common factor of m and 1247.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 + -27 + 14 + -3 + (0 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*r - 24, -208*r + 102*r + 1 = 8*v - 101*r + 39 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2920906626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k + 0*k + 2*k)*(12093*k**2 + 3111*k**2 - 3810*k**2).\nAnswer: -11394*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5400166903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 31078 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) 60\/17  (c) -5  (d) 11  (e) 1\/5  (f) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 47939988 = 3*f, -k + 25*f = 21*f + 23969984. What is k rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6966 + 6970. Solve -37 = -5*s - r*m - 19, -4*m + 2 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3526)\/(-10) + -2 - 15\/25. Suppose 14*j = -0*j + q. Which is bigger: 24 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the first derivative of -w**4\/24 + w**3\/6 + w**2\/2 - 2. Let r(k) be the second derivative of q(k). Suppose p = 3*p + 2, -p = a - 2. What is r(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -166*i*p**3 + 6*i - 6*k*p**3 - 16*k*p + 7*p**2 - 3 wrt p.\nAnswer: -996*i - 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36956 is divided by 34322?\nAnswer: 2634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 803030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72187 is divided by 13734?\nAnswer: 3517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + (-1 + (sqrt(65)\/sqrt(5))**2 - sqrt(13)) + -3 + 1 + sqrt(13))*-6.\nAnswer: -60 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7124249.\nAnswer: 11, 647659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-15 - -29) + -16 + 8 + 0 + 8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6877 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -7*t - 25. Let x be g(-6). Suppose -9*c = -27 + 9. Suppose -41 + 5 = -c*b. Which is smaller: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 165.55 - 0.55. Let l = v + -164.921. What is l rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6112*l**3 + 1906*l + 4 wrt l.\nAnswer: -36672*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - 4. Let x(h) = 2*h. Let q(c) = -c. Suppose -4*k - 5*f = -20, 3*k + 4*f = 7 + 8. Let j = -9 + k. Calculate j*x(g) + z*q(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 - j**2 - 7*j + 1. Let r(g) = 3167*g**3 + 11*g**2 + 91*g - 6262. Let h(z) = 13*l(z) + r(z). Find the first derivative of h(c) wrt c.\nAnswer: 9540*c**2 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-6))\/((1\/66)\/(71\/(-284))).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of 15*q**3\/2 - 9*q**2\/2 + 168*q. Let l(y) be the first derivative of 11*y**2\/2 - 2*y - 30. Give -2*h(x) + 9*l(x).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.01, -0.4, -3, 0.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/(-18))\/((-14)\/(-6))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, -22, 0.02, -0.14, 2\/11 in decreasing order.\nAnswer: 2\/11, 1\/7, 0.02, -0.14, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 47710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 59586349 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, -6, 1, 24, 69, 142, 249, 396?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 95*x**2 + 5220*x + 454818. Give b(-92).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -21*c + 415. Let y be q(19). Let n be -1*(-3)\/6*2. Let f be n\/((-4 - -2)\/(-8)). Solve -y + 0 = f*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((25700\/1920 - 14)*-1)\/(0 + -1) and 27\/22?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes before 5:14 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1 - 0.098. What is z rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 471485?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (38\/30 - (-4)\/(-6))*5. Solve -4*z = q - 4*q + 17, r*z - 3*q + 12 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 11*s**2 - 9*s + 4. Let t(h) = 3*h + 3*h - 13*h**2 + 2*h + 5*h - 3*h - 4. Let r(p) = 6*l(p) + 5*t(p). Calculate r(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**0)**(-4\/11)\/(s\/(s\/(s\/(s*s**(2\/5)*s)*s)*s*s))**(-39)*(s**(-6)\/((((s**(-1\/2)*s)\/s)\/s)\/s*s))\/((s**(-5)*s*s)\/s*s**(-3\/2)) assuming s is positive.\nAnswer: s**(-463\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.975346 weeks to days.\nAnswer: 48.827422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12 or -157\/13?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6696592 and 30352.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 9:24 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -670 (base 9) to base 12.\nAnswer: -399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-6*sqrt(324))\/(-6*sqrt(12)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.3 + -0.7. Let z = -24 + 21.1. Let w = z + 3. Sort w, 2, u in descending order.\nAnswer: 2, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-1 + sqrt(98) + -5 + sqrt(98) + sqrt(98) + sqrt(98) + 0 + 2)*-2)**2 + 3.\nAnswer: -22400*sqrt(2) + 158403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 1 - 2. Let d be (2 + -2)\/(4 - 5). Put -2, d, c in decreasing order.\nAnswer: c, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((-1 + sqrt(117))*-4 + -5*-1*sqrt(117))**2*5.\nAnswer: 120*sqrt(13) + 669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 PM and 11:22 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2 + 1)*(-11 + 211 + 25)*(4*b - 6*b + 0*b + (2*b + 1 - 1)*(-2 + 6 - 3) + 3*b + b - 2*b + 1 + b - 1) to the form h*b + x and give h.\nAnswer: 1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 29*f**2 - 1507*f**6 + 3004*f**6 + f**5 - 1666*f**6 + 1565*f**2 wrt f?\nAnswer: -20280*f**3 + 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 3*y**2 - y. Suppose 0 = n - s - 3, 0 = -2*n - 4*s - 18. Let r = 5 - n. Calculate the least common multiple of p(1) and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 5*w - 7*w + 5*w - 2. Let a be z(2). Solve 2*n - a = 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 16*c. Let b be q(1). Let j be (12\/(-8))\/((-6)\/b). Factor j*h - 2*h**3 + 4 - 2*h + 0*h**3 - 4*h**2.\nAnswer: -2*(h - 1)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 248\/53 or 5?\nAnswer: 248\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 40a2a4 (base 15) in base 4?\nAnswer: 23231331232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 49 - 46. Let g = 4 - 0. Suppose t - g = -0*t. Which is the third smallest value?  (a) -3\/4  (b) q  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 2*n**3 - 46*n**2 + n + 177. Calculate the remainder when 4395 is divided by y(23).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1 - 1614\/(-21) - 5\/(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 429026, 429024, 429022, 429020?\nAnswer: 429018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*o - 25 = 13*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(63) + sqrt(77)\/sqrt(11) + -3 - (-2 + -5*sqrt(7)*-3*-5)**2.\nAnswer: -39382 - 296*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2357152 divided by 1178576\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1064947518*k**2 - 2*k - 223990642?\nAnswer: 2129895036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17243498.\nAnswer: 2, 8621749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 133402331334 - 3?\nAnswer: 133402331331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 26349202\nAnswer: 3\/26349202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2, -0.5, 1.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -521 + -c36?\nAnswer: -1357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -286*r + 5. Let y(n) = -95*n + 2. Let h(b) = -4*x(b) + 14*y(b). Let p be h(-10). Let k = 3429 - p. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -4*j**2 + 22487*j + 473985. Determine v(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-3*(-3)\/45)\/((-6)\/(-15))*859350\/(-5729)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 66694974*c**3 - 2139*c + 190.\nAnswer: 400169844*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -12*f**3*j - 6*f**3 + 6*f**2*j*t + 11*f**2*t wrt j.\nAnswer: -12*f**3 + 6*f**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(-6)*(-30)\/40.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-15)\/(o\/(((o*o\/(o*(o\/((o**5\/o)\/o))\/o))\/o)\/o)*o)*(o*o*o\/((o*o\/(o\/(o\/(o\/(o*o**5*o*o)))))\/o)*o*o*o)**(-6\/5) assuming o is positive.\nAnswer: o**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -1882*b**2. Let g(t) = -360681*t. Calculate w(g(y)).\nAnswer: -244830855038202*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 + (-4)\/(-39)*(-14222)\/(-91). Let s = -248\/13 + r. Calculate the common denominator of s and 151\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 64*y - 45 = -41*y - 31*y, 5*y - 18 = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/21)\/(103\/618).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22 - (8 - (224 - 40))) + -31.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.05292ng in grams?\nAnswer: 0.00000002205292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/39 and -137\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 1552 = 1553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 divided by -12?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 434?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 10 - 16 - t)*(2 - 3 + 3)*(2 - 2*t - 2).\nAnswer: 4*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14110.3*-2.3.\nAnswer: 32453.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**26)**35)**(-46) assuming a is positive.\nAnswer: a**(-41860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 210 + -219. What is the hundreds digit of 93*(-78)\/f - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 1 = -h. Suppose -48 = -j + h*o, 1 - 48 = -j + 5*o. What is the second derivative of -p**4 + p**3 - p**3 - j*p + 55*p wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 17830\/20 - 54\/108. What is the greatest common divisor of 1188 and b?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 172269477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -120.96 and -4271?\nAnswer: 516620.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -2*r**3 + r**2 + r. Let v be q(-1). Suppose -3*m + v*x = -62, -3*m + 4*x - 35 + 105 = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 9347, 9313, 9275, 9233, 9187, 9137, 9083?\n\"Answer: -2*j**2 - 28*j + 9377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, a: 2, k: 4, d: 1, z: 4, b: 3}. Give prob of sequence bm.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-5)\/(-2))\/((-1)\/(-6)). Solve -2*o - x = -6*x + 31, 0 = -3*x + b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of -229*w**5\/4 - 7*w**4\/12 + w**2\/2 + 20*w - 7. What is the third derivative of g(z) wrt z?\nAnswer: -6870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of -85*n**3\/3 - 33*n**2 - 54. Find the second derivative of k(u) wrt u.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 38*i - 1449. Let u be k(38). Let d(a) = 3*a**2 + a + 1. Let b be d(-1). Let z(r) = 63*r - 63*r + 5*r**2 + 4 + r**b. What is z(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.046?  (a) 19  (b) -13  (c) -0.14  (d) -9  (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 - 2*d**2 + 3*d. Let y be l(-3). Suppose y = -0*i - 3*i. Suppose -12 + i = -2*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.3 - 0.6. Let v = 2 - -12. Let g = v + -14.2. Which is the third biggest value?  (a) f  (b) -5  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**3\/g)\/g*g*g\/(g*g**(-5)))\/(g**(1\/4))**(-39\/7) assuming g is positive.\nAnswer: g**(235\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b\/((b\/b**6)\/b))\/(b\/(b*(b\/(b**(-2\/5)\/b))\/b)*b))\/(b\/b**2*b*b)**(8\/5))**11 assuming b is positive.\nAnswer: b**(374\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 1944*y + 12077. Give d(-6).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1364 and 3844.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 138398\/91 - (-4)\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -25 + 7993?\nAnswer: 7969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-5.9407.\nAnswer: -1.78221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1621668 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12372 + 13250. Calculate the remainder when w is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03316 to 3 decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.77342 to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 385672037?\nAnswer: 385672037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in -288.1, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -26*z - 687. Let d(j) = 3*j + 77. Let f(w) = 6*d(w) + v(w). What is f(-28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -3*x**2 + 4*x + 5. Let m(y) = y**2 - 2*y - 2. Suppose -k - 3 - 2 = 0. Give k*m(r) - 2*f(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 752071254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -328944 divided by -2492?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-3*sqrt(160))\/sqrt(8))\/(3*sqrt(16)*1)*2.\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -25, -1, 20?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4527*a = 4529*a - 96, -2*a + 16 = -4*s - 100 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 180629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 161275, 322557, 483851, 645163, 806499?\n\"Answer: l**3 + 161275*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z**3 - 21*z**2 + 7*z - 39. Let c be n(-11). Let q be 2\/(-5) + 12\/15. What is the biggest value in c, 0, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-258)\/(-4)*(-58)\/87. Sort 2, o, 0, -3.\nAnswer: o, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14930718 and 45408?\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -841*m**5\/6 - 8410*m**4\/3 + 49739*m**3\/6 + 248535*m**2 - 504900*m - 36000 = 0?\nAnswer: -15, -2\/29, 60\/29, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3011023 - 122?\nAnswer: -3011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(-70) - 59\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -19899*b + 19899*b + b**2. Let x be (2\/4)\/(5\/20). Let t(z) = 0*z**2 + x*z**2 - z**2. What is t(s(n))?\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 4*z. Let g(o) = 23*o. Calculate g(m(i)).\nAnswer: 92*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -45*f**2 - 36 + 16 + 13 + 7. Let z(g) = 0*g - g**2 + 0*g. Give b(z(l)).\nAnswer: -45*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -6, -0.2, 4, -1\/3, -5, -1\/127?\nAnswer: -1\/127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2382700*y - 2381340*y + 4764042*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/13  (b) 1\/7  (c) 5\/19671\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 3*t + 2. Determine v(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*i - 25*i - 18*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, r: 8, d: 10}. What is prob of sequence qrdd?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17800050 and 530?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 8*q**3 - 112*q**2 + 3581*q - 49980. Give c(14).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - p = -42. Let h(j) = -20*j + 2. Let k be h(2). Let v = k - p. Solve -2 - 6 = -v*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.3229 + 2.3229. Is r at most -4\/3725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 32637*b - 16320*b - 16321*b. Let r(w) = 4*w - 3*w + w. Calculate r(s(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 8*f + 25. Determine h(-9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1037 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -2*w**2 + 63*w - 153. What is y(-6)?\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 45403\/2 + -22709. Suppose -s + 4*s = 12. Which is the closest to -1?  (a) j  (b) s  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 PM and 10:27 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 113 + 123 = w, -82 = -4*w - 5*s. Suppose -w*x = -39*x + 4578. What is the remainder when x is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 971*r + 32. Let w be z(-6). Let n = w + 1373176\/237. What is the third smallest value in 0.1, n, -1\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*s = 90*s - 14*s - 4118 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -840, -1044, -1204, -1320?\nAnswer: -1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-21)\/(-7))\/(1*-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**3 - 21*q**2 - 23*q - 57. Let w be b(-20). Solve w*x + 0 = 4*k - 14, -4*x - k = -13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1853\/2 + 927. Sort f, 1\/3, 11\/2.\nAnswer: 1\/3, f, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 22184566 or 22184565?\nAnswer: 22184565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 220540 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: Convert -1384103 (base 9) to base 2.\nAnswer: -10111010100010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -20236 or -20228?\nAnswer: -20228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11066 - 7889. List the prime factors of x.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 178655 + -119998. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, 1, -2, 9, -1, -1137, 5.\nAnswer: -1137, -2, -1, 1, 5, 9, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (77616\/1092)\/154*(-2)\/(-2).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = q. Suppose c - 5*r - 31 = 0, q = c - r + 4*r - 15. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13790 by -2758.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -8. Suppose 0 = -4*y - 2*p - 22, -2*y + q*p = y + 12. Let b = 1 - y. Solve b - 15 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - b - 34 = 3*b, -3*b + 41 = 2*o. Suppose -2*k + 9 + o = 0. Solve -3*c = 5*l - k, 4*c + 0*l - 11 = l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 53 and 8003?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (19 - -166) + -185 + 0 + -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.08 - 2.08. Let j = k - -3. Let s = -3 + j. Which is the nearest to 0.1?  (a) -0.1  (b) s  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -784*s**3*z + 305*s**3 wrt z.\nAnswer: -784*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 264 and 643797?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 721192.\nAnswer: 2163576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + 58fe9?\nAnswer: 58fe8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u + 11. Calculate the least common multiple of 4 and l(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 9*d**2 - 2*d + 2. Let a be (((-32)\/(-24))\/2)\/1 - 16\/6. Let o(s) = -280*s**2 + 63*s - 63. Give a*o(z) - 63*j(z).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 + 20*f**2 - 199*f + 2151. Determine m(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-100)*-2)\/(2\/(-5))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 + 10037793.\nAnswer: 10037793.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + 1130450?\nAnswer: 1130441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(2178) + sqrt(2178))\/(sqrt(6) + sqrt(54)\/sqrt(81)) - (3*sqrt(36)\/sqrt(3) + 1).\nAnswer: -6*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5*(1 + (18\/15 - 1)). Solve -3*k + l = -3*p, k - 3*p - 4 = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3388)\/(-1078) + (-24)\/21. Let 22\/9*q**3 - 26\/9*q**d + 4\/9*q + 0 = 0. What is q?\nAnswer: 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8270.\nAnswer: 2, 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = w + 10, 3*w - 6*w = -5*l + 4402 - 4368 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*m - 31*m + 7*m - 2*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 2 + 38 = 0. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*t**4 + t**4 - 5*t**4 + (-2*t**4 + t**4 + 2*t**4)*(-2 + 3 + 1) + (0*t**3 - 3*t**3 - 2*t**3)*(t - 4*t + 4*t).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*m - 10 + 10)*(1 + 2*m - 1 + 2) - 2*m**2 - 17 + 17 to x + z*m**2 + t*m and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3\/6)\/(-1)*-4. Suppose g*a = 5*w - 3, w - 6*w = -15. Suppose 0 = 5*s + a - 36. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25703425 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k + 2. Let x be m(-10). Let b(z) be the first derivative of 18 + z - x - 2*z**3 - z. Let j(d) = -2*d. Determine b(j(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*g - 3 = 14*g. Let q(m) = m - 6. Give q(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -30226432 + -12?\nAnswer: -30226444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/12*3*(-7)\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12071034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((-2*-1*sqrt(441))\/(5*-3*sqrt(6)\/sqrt(2)))**2 + 5).\nAnswer: 1142\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1082 + -1082.19. Let u = -1.46 + 2.65. Let m = k + u. Which is the third smallest value?  (a) m  (b) 1\/4  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -930 + 939. Calculate the remainder when 10 + -10 + 249*1 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = w - 2*b - 5, -5*b + 4*b = -3*w + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -1. Let w(p) = -11*p + 19. Let a(z) = -21*z + 39. Let f(j) = 5*a(j) - 9*w(j). Let c = 16315 - 16316. Determine c*f(l) - 24*d(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14 - -30. Let n = -6 + o. Let m = 19 - n. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of 1\/2*z**3 + 0 + 0*z - 44*z**2 + 1\/6*z**5 + 1\/120*z**6 + 3\/8*z**4. Determine f(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7*229\nAnswer: -1603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*z = -42*z - 540. Suppose -z = -5*g - 4*x, 3*g + x + 4*x - 36 = 0. Is 12 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, 409, 1 in decreasing order.\nAnswer: 409, 1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 3*x**2 + 203*x + 411. Calculate h(-65).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -q, 0 = -s - 3*q + 19 - 7. Let g(a) = 94*a - 12. What is the units digit of g(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1511 is divided by (15\/75)\/((-3)\/(-495)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 2 = -6. Let q be (4\/(-3))\/f*3. Suppose 5*z + 5 + 10 = 5*d, 5*z - q = -3*d. Solve -2 - 2 = -d*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6707749 divided by -31\nAnswer: 216379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w - 3*w + 4*w)*(5 - 2 - 6)*(3 - 4 - 1)*(7*w - 374*w - 214*w).\nAnswer: -3486*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 4*p = -4*u - 12, 4*u - p - 4 = 0. Suppose -4*d + 11 = -1. Suppose 1 - d = -t. Solve -b + u + t = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2253*v = 6565 - 56131 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - 1. Let v(x) = x**2 + 5*x - 6. Let s be v(k). Let g = s - -9. Solve g*q = -6 - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/2)\/((-1)\/((-16)\/(-2)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -171 less than or equal to -143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15, -31, -47?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3011 is divided by 1975.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4006000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*k - 417702 + 417702.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes after 10:07 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-11)*(-214456)\/7311?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -5*(sqrt(84)\/sqrt(6))\/sqrt(2))**2.\nAnswer: -30*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -5, 7, -0.1, -1\/4678, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 2*o - 4 = 0, 0 = 4*r - 4*o - 0*o. Let y = -0.2 + 0.1. Let n = 4.139 - 0.139. What is the third biggest value in r, y, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -3, -13, -4, 4.7 in increasing order.\nAnswer: -13, -4, -3, -0.3, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -2367 + 2367 + 2573*c as n + d*c and give d.\nAnswer: 2573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 4*z - 45. Let d(x) = -17*x + 172. Let f(n) = -4*d(n) - 15*l(n). Give f(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10160 by -80.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-39)\/39)\/((9\/(-3))\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.4 + -2. Let h = i + -0.2. Let q = -1 + 0. Which is bigger: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 53942615 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 PM and 6:41 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**2 - 2712*s - 386716.\nAnswer: 4*(s - 799)*(s + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 165, 5 in increasing order.\nAnswer: 2, 5, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - v + 176 - 26, 0 = 3*w + 5*v + 118. Suppose 2*a - 5*j = -82, -3*a - a - 112 = 3*j. Let o = a - w. Solve x + 3 + 2 = o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 9858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3020, 6152, 9394, 12746, 16208, 19780, 23462?\n\"Answer: 55*p**2 + 2967*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 2155668.9 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 + 2*p**2 + p + 4. Let k be f(2). Solve -2*b = -4*u + k, -3*u = -b - 2*b - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 5*k = 27. Suppose p + 79 = 84. Solve c - 21 = p*d, -3*d + 4*c = k - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(4)\/(-6*(sqrt(10)\/sqrt(5) - sqrt(2)) - sqrt(2)))**2 - (sqrt(6) - sqrt(216)*1)\/(1*(sqrt(3) + sqrt(3)*2)).\nAnswer: 2 + 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1551 divided by 11.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 114 and 541234?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 + 30*u**2 - 27*u - 8. Let m be a(29). Let v = m - 47. Solve 11 = -v*n + 26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 4 = -12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 228520460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*c - 1 + 8*c + 0*c)*(-3 + 18 + 5) in the form t*c + j and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15163, -15161, -15159, -15157, -15155?\nAnswer: -15153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -49*w - 13. Let l(k) = -16*k - 5*k - 6 - 4*k. Let b(x) = 6*i(x) - 13*l(x). Does 12 divide b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -18*v + 23*v + 20, -7*k - 5*v - 20 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 665.524377us to weeks.\nAnswer: 0.0000000011004040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15842*o**3 + 149533172*o**2 - 10080861*o\/2 + 84951\/2 = 0 for o.\nAnswer: 3\/178, 9439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -8*b - 8. Suppose 0 = -g - 2 - 16. Let x(k) = k + 1. Give g*x(n) - 2*y(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 300170261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Do -1413\/25 and -57 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1414719421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -4*w**2 + 56*w - 2. Calculate t(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4619 + 12188. What is the thousands digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161 = 161*j - 138*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 228 divided by 4\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.6 + 1.3. Let r = 0.3 - d. Let b = r + 0.1. What is the closest to -4 in 0.3, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x = -4*x - 11*x. Suppose 3*i = -x*i + 549. List the prime factors of i.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 239, 104, -454 in increasing order.\nAnswer: -454, 0, 104, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 divided by -3.\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 144764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/18 + (-22)\/(-18). Calculate the common denominator of 144\/(-21) + 2 + -1 and n + (-40)\/9 - 1.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -260, -525, -790?\n\"Answer: -265*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 7*w**2 - 4*w + 1. Is 14 a factor of p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 13761 and 277182?\nAnswer: 423811278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*h + 2. Suppose -7*f = -h*f - 20. Solve 0*s + 4*s + 4 = -f*c, 0 = -s - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -313.3031056 to the nearest integer.\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -208*y**2. Let i(x) be the first derivative of 5*x**2\/2 - 12010. Give j(i(h)).\nAnswer: -5200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1312\/2899 - -2\/223. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2759 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rqm when three letters picked without replacement from {q: 4, m: 5, a: 1, r: 10}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1978185347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 121370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of -s**5\/4 - s**4\/12 - 5*s**3\/6 + 3*s**2 + 9. Find the second derivative of v(b) wrt b.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -2.1. Let h be (9 - 18)\/((-2)\/44*-3). Let c = -64 - h. Sort c, -3, k in decreasing order.\nAnswer: c, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-2 + ((sqrt(19) - 4*sqrt(38)\/sqrt(2)) + 0)**2 + (1*sqrt(2736) - sqrt(19) - (4*sqrt(304) - sqrt(19))**2))*-3 + -5.\nAnswer: -33*sqrt(19) + 12317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 77 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -2, 0, 8232, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*t - 0. Find o such that -172*o**3 + 30*o**t - 10*o - 5*o**4 + 15*o**5 + 127*o**3 + 15*o**2 = 0.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10010110111 (base 2) in base 4?\nAnswer: 102313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 - 14 = 3*s - s - 3*s, -85 = -15*g - 5*s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/(-5) - (-5)\/25. Let q be 1 - -1 - (-4)\/4. Put q, -1, m in decreasing order.\nAnswer: q, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 390*c + 267*c = 28908 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/1010 and 179\/30?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19216673?\nAnswer: 7, 392177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 - 12*s - 22. Let u be r(-9). Suppose 3*g = -u*g + 2*g. Solve 0*q + q = g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -29 - -18 - ((22 - 13) + -18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3415*k + 152*k + 376878 + 308778 = -4137*k for k.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 534 = 5*g. What is g rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -47*y. Let a(c) = -c + 5*c + 2*c - 9*c + 5*c. Give x(a(p)).\nAnswer: -94*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 61139069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 24*x + 37. List the prime factors of j(4).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/3, -6, -77, 4\/3, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/7))**(-1\/10) assuming d is positive.\nAnswer: d**(1\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j - 2*j + j)*(-17*j - 30*j + 4*j).\nAnswer: 86*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of 11\/6*o**3 + 20*o - 7\/6*o**4 + 0 + 1\/10*o**5 + 13\/2*o**2. Let g be d(6). Calculate the highest common divisor of 63 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:25 PM and 3:50 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sb when two letters picked without replacement from {s: 1, t: 4, l: 1, w: 4, b: 4, z: 5}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 21 = -3*i. Let f be i\/(-6)*(-20)\/(-75). Find d such that -4\/9*d**2 + f + 2\/9*d = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -8, -1\/7, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -0.6, 0, -3 in increasing order.\nAnswer: -3, -0.6, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 3*d - 122, 2*o - 5*d - 106 = -o. Let l = o + -31. Let x(q) = -q**3 - 3*q**2 - q - 1. What is the remainder when x(-3) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 4*v. Suppose 2*i = -v*i + 2. What is the units digit of (i\/(-3))\/((-1)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 - 6*m**2 - 6*m - 6. Let b be g(-5). Let i(o) = -1. Let z(w) = 9*w**2 + w + 2. Let q(h) = i(h) + z(h). What is the units digit of q(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 46, 74, 84, 76, 50?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153 = -4*c + 47. Suppose c + 12 = h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8800 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than -4\/165357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4611*g = 4616*g - 4*y - 31, y + 10 = 2*g. Suppose 0 - 16\/5*a**4 + 12\/5*a**g + 36\/5*a**2 + 8\/5*a = 0. What is a?\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 5, -1\/5, -2\/293, 4, 21.5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n + 3*n - 5*n + (11 - 5 + 4)*(5 - 5 + 3*n))*(2 + 1 + 0).\nAnswer: 87*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 1090 divide 113223194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 - 2 - 52711487010\/16319287941. Let a = q - -3\/5958119. Let j = a + 4\/83. Find the common denominator of -3 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1871*d**2\/2 - 28057*d\/2 - 60.\nAnswer: (d - 15)*(1871*d + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 1. Let z(t) = 2*t + 2. Let d(y) = -y**2 - 6*y - 6. Let p be d(-5). Give p*z(n) + 2*j(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 198.5461um to centimeters.\nAnswer: 0.01985461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*s + 2 = -65*s - 5*i, 0 = -s + 5*i - 2. Let j = -3 + 6. Sort -5, j, s in decreasing order.\nAnswer: j, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4001241 (base 6) in base 7?\nAnswer: -1406002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -10\/7 or -2?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -56193 - -286?\nAnswer: -55907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-27*s**2 - 43*s + 43*s)*(3 - 1 - 4)*(7 - 3*s - 7) in the form b + m*s + g*s**2 + x*s**3 and give x.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 - 3)*(4 - 1 - 2)*(12 - 12 + d**2 + (0*d - 3*d + 2*d)*(2*d - 1 + 1) - 2*d**2 + d**2 + 3*d**2).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-3))\/(((-40)\/(-9))\/20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4*x = 0. Suppose -o + 3*m = -x*m - 12, -o + 4*m = -14. Solve 2*w = o*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*l**2 + 10*l**2 - 5*l**2)*(-2 + 4*l + 2) - l + 5*l**3 + l + 3*l**3 - 3*l**3 - 3*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 199269 is divided by 152?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of d**5\/20 - 7*d**4\/12 + d**3\/2 - 15*d**2\/2 + 21*d. Let q be u(7). Solve 3*l - q = 0, -3*o + 0*o - l + 17 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -45 + 68882\/352 + (-5)\/(-16)\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70 - 71 + 2008*y + 219 - 78 + 12946*y.\nAnswer: 14954*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 3*i = -1122, 2074 = -5*h - i - 697. Let v be 3 - (17 - 3) - -1. What is the common denominator of -23 and h\/(-12)*(-2)\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 294271766 - 294269625.99107. Let d = r - 2140. What is d rounded to four dps?\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*f - 14 + 11*f**2 + f + 14 wrt f?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*g + 10*g + 30 = 0. Let s(r) = 4*r + 3. Calculate the remainder when 106 is divided by s(g).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, x: 9, w: 1, p: 2}. What is prob of picking 1 p and 2 v?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -130 - 251. Let t = x - 126. Is -4\/17 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 101*w**5 + w**4 - 828*w.\nAnswer: 2020*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1103, 904, 705, 506, 307?\n\"Answer: -199*a + 1302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 2\/58079 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -8*i*x**3 + 241*i*x**2 - 1697*i + 8*x**3 + 2 wrt x?\nAnswer: -24*i*x**2 + 482*i*x + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 + 22*v**2 + 19*v - 45. What is o(-21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 45879 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 897417691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i**2 - i + 13. What is q(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 1 + 3 = 0. Let g(l) be the second derivative of m*l + 0*l**2 - 1\/6*l**4 + 0*l**3 + 0. Let c(n) = n. Determine c(g(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 578 + -586. Let i be (4 - -2) + 4 + y. Solve 2*z + 7 = -f, 4*z - 5*f = -i - 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 PM and 12:33 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + 37. Suppose -2*p + 1 = -3. Suppose p*v - f = -b + 3*v, 0 = -3*b - 5*v + 176. Calculate the highest common divisor of b and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + (27 - 25) - 45?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -85*o**3 - 2*o**2 + 3*o**2 + 88*o**3 + 6 - o + 4*o**2 as b + u*o + n*o**3 + i*o**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6 + 4)*(-18)\/4. What is the highest common factor of 27 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 5*b - 1. Let m(v) = -2*v + 12. Let o be m(5). What is the smallest common multiple of 2 and j(o)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 0*o + 5*f - 1200 = 0, 6046 = 5*o + 2*f. What are the prime factors of o?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -1 - 3. Let c be (-65 - o) + 3 + 3. Let t = 102 + c. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1015250 divided by -5.\nAnswer: 203050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1115*c + 2*c**3 - 1127*c + 2242*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -27*k - 9. Let y be u(-7). What is the lowest common multiple of 6 and 14\/(-4)*y\/(-63)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29, -18, 1, 28, 63, 106?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -26, 0.02 in descending order.\nAnswer: 4, 0.02, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 71844374495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -35, 93, 5, 1 in increasing order.\nAnswer: -35, 1, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 2*m + 7. What is the remainder when g(10) is divided by (0 - 15\/2)*-2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 + a**3 + 2*a**3 - a - 2 + 3. Calculate the lowest common multiple of b(1) and 1\/(-2) + 5\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 - k + 18. Let c be n(-4). Suppose 0 = j + 2*j + a - c, -2*a + 2 = j. Suppose 5*y - 8 = 3*x + 8, 3*x = -2*y + 19. Solve -5*v + j*v = -x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 861 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 1 + 13 = 0. Let i be 4\/4*1*12. Suppose -p*x + a = 6*a - 48, a - i = -x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*z - 11930 - 2254. What is the highest common factor of z and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8397 - -8402. Which is the biggest value?  (a) -1  (b) -0.1  (c) -0.2  (d) 0  (e) r\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 207882 and 20268495.\nAnswer: 40536990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 PM and 8:10 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.0672?  (a) -3  (b) 0.3  (c) -560  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 408 is divided by 300.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-6128 - -6154) + (0 + (0 - (0 + -7)) - 1)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let x = -3023 - -3026. Factor 6\/5*w**2 + 0 - 3\/5*w**x - 3\/5*w.\nAnswer: -3*w*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 2131.3.\nAnswer: 10656.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 313, 289, 265?\n\"Answer: -24*q + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 358*d - 1755566 - 2162028. What are the prime factors of d?\nAnswer: 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -39.088447 rounded to 2 decimal places?\nAnswer: -39.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*i*t**3 + 597*i + 2*t**3 + 3*t**2 - 1 wrt t?\nAnswer: -12*i*t**2 + 6*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 + -5. Suppose 0 = -z*b + 10*b - 18. Let w = b - -2. What is the third biggest value in w, -3\/8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7*(2\/(-14))\/(15\/(-75)). Suppose -4*r - a*c = 12, -2*r + 3*c + 9 = -7. Factor 12\/5*q + 18\/5 + 2\/5*q**r.\nAnswer: 2*(q + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.1829251 rounded to two dps?\nAnswer: -4.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 421777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -89.3546 rounded to 0 decimal places?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1213, -2331, -3479, -4657, -5865, -7103, -8371?\nAnswer: -9669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/120)\/(-2*1\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3.48 * -0.17959\nAnswer: -0.6249732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 23*a**2 - 5*a - 1. Let s be t(3). Suppose -q = s - 484. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24368397 minus 0.00726595?\nAnswer: -24368397.00726595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 144274919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -23303322 (base 4) in base 16?\nAnswer: -bcfa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2106.658 - -2106.69600724. Let j = 1.03800756 - x. Let p = -1 + j. Round p to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/421 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 - (-26)\/(-3))*(-1083)\/76. Suppose 3*o + l = 119. Sort o, 1, -4.\nAnswer: -4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*f = 22*f - 56 - 232 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 80 = -s, 6256 = -3*s - 2*v + 6441. What is the remainder when 162 is divided by s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h**(-9)*h)*h**(-1\/2)*(h\/(h**7*h))\/(h*h**(1\/7))*(h**0*h**(-4\/5))\/(h**(-2\/35)\/h**(-3)) assuming h is positive.\nAnswer: h**(-237\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j - 4*i - 6, 58031 - 58019 = j - i for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - 3. Let i be ((-3)\/(-2))\/(l\/2). Let t be (0\/i - 1)*0. Solve t = -b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 14 - 2. What is the first derivative of 4*c**4 + 22*c**3 - f - 22*c**3 wrt c?\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2\/1 + 1 + (1313 - 5)?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -70\/9 and 1153\/(-1876)*-21 + -13.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 13*o + 2. Calculate p(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*q - 7*q - 34*q + 54*q - 1556 + 776 + 774.\nAnswer: 4*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4248 + -928. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-9) + 185\/45. What is the first derivative of -i**3 + 3 - 7 + l*i**3 + 26 wrt i?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 - 0 - ((-3 - -5) + 23). Let r = b + 248. Let t = r - 137. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1223045 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-16))\/(((-75)\/(-6))\/(-5))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -6*s**2 + s + 2. Let b be w(2). Let k be 8\/44 + b\/(-11). Suppose 5*l + k*g - 3*g - 149 = 0, -4*g - 26 = -l. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 149976680?\nAnswer: 2, 5, 7, 229, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 18 - 18 = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 846724 or 846725?\nAnswer: 846725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 8:37 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -162054*q + 24568*q - 44334*q.\nAnswer: -181820*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 46*u - 83. Let j be (1 + 0)*(-1 - -26). Is k(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1451.81 or 0.3?\nAnswer: -1451.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -162*d**3*o**3 + 67*d**3*o**2 - 7*d**3 + d**2*o**3 + d**2*o**2 - 6*d**2*o - 1031*o**2 wrt d?\nAnswer: -972*o**3 + 402*o**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -106.71 - 0.29. Let m = -86 - d. Let y = -21.00078 + m. Round y to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wdw when three letters picked without replacement from {d: 2, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 58*r**3 - 22*r**2 - 17*r - 28. Let j(m) = 19*m**3 - 8*m**2 - 6*m - 10. Give -11*j(g) + 4*t(g).\nAnswer: 23*g**3 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*l - t, 8*l - 10 = 7*l + 3*t. Which is the fourth biggest value?  (a) l  (b) -5  (c) 2\/11  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 4, 14, -122 in descending order.\nAnswer: 17, 14, 4, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9790*s**2 + 9472*s**2 + 2*s - 2*s + 2.\nAnswer: -318*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (3332\/14)\/(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 5  (b) 0.1  (c) -0.01  (d) 1398\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -199 + 198.9998312. Round c to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of o**6\/90 - o**5\/60 + 23*o. Factor w(r).\nAnswer: r**3*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*k - 21*k - 63 = -16*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1\/272 - 821\/1360. Which is the closest to -1?  (a) -5  (b) f  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/((-8)\/52 - (-19)\/39). Let h be -14*(-45)\/(-6)*(-5)\/x. Let r = h + -723\/4. Calculate the common denominator of -101\/2 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -47, -5, -10, -3.\nAnswer: -47, -10, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 + 10*x - 8. Let y be b(9). Let a(h) = -5*h**2 - 4*h - 2. Let j(g) = 9*g**2 + 9*g + 5. Let t(m) = 7*a(m) + 3*j(m). What is t(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1550871904.\nAnswer: 2, 41, 547, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 9868.443 weeks in hours?\nAnswer: 1657898.424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -26\/7  (b) 25009  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w**5 + 168*w**4 + 12*w**3 - 496*w**2 - 336*w = 0. Calculate w.\nAnswer: -1, 0, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.157262 litres in millilitres?\nAnswer: 7157.262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -a + 4*w, 8*a - 6*a + 2*w = -6. Let l(s) = s**3 + 4*s**2 - 4*s - 7. Determine l(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/15, -9.3, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.29 less than -15705842?\nAnswer: -15705842.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 321 (base 10) to base 3\nAnswer: 102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*r - 3*r - 103*b = -100*b, 4*r + 9 = b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 974 + -5002.\nAnswer: -4028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lll when three letters picked without replacement from llllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -504 plus 0.09?\nAnswer: -503.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 22104 - -38?\nAnswer: 22143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-20)*m)\/(m**(-12)\/m) assuming m is positive.\nAnswer: m**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 3*y = 144 - 121, -2 = 4*r + 2*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 4:33 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 230*s - 186*s - 4335628 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1067240 (base 12) to base 2.\nAnswer: 1011111010011010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 313, 0, -2, -6279 in decreasing order.\nAnswer: 313, 0, -2, -6279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 + 11*w**2 - 16*w - 138. What is the remainder when 42 is divided by v(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8)\/(-3)*42\/4. Suppose 0 = 25*w - k*w - 414. Let o = 194 + w. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1211012 + 121?\nAnswer: 1211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 7*o + 8 = 0. Solve -o*i - 9 = 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(704) - sqrt(704))*2 + 4 + sqrt(99) + 2 + 5 + -3*(1*sqrt(198) - sqrt(198) - sqrt(198))\/sqrt(2))**2.\nAnswer: -792*sqrt(11) + 14377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -2*n**2 - 8*n + 2. Suppose 0 = 14*q + 82 + 45 - 1. Let v(b) = 5*b**2 + 17*b - 4. Give q*k(u) - 4*v(u).\nAnswer: -2*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = 2*n - 27, 2*n - 2*j = -13 + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 34 + -24. Suppose -3*f + b - 4 = 0. Suppose -f*l + 3 + 3 = 0. What is the smallest value in l, -1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11.8 - -11. Let f = j + 0.7988. What is f rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(121) + (1*sqrt(121) - sqrt(121)))*-3 + sqrt(121) + sqrt(121) + (sqrt(121) + sqrt(121)*1)*5)\/(-1*sqrt(704) - -1*sqrt(99)) + 4)**2.\nAnswer: -72*sqrt(11)\/5 + 1291\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 883137.\nAnswer: 3, 29, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.378 times -0.5\nAnswer: 0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -3\/2, 184, 4\/5?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeee. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/x**2)\/x*x**(-3))\/(x**1)**27)**(-1\/16) assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2331 + -1616. Suppose 0 = -n + s + 192. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244879367 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83016852.\nAnswer: 2, 3, 19, 47, 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 501*v**2 - 78*v - 86*v + 1083*v + 496*v**2 wrt v?\nAnswer: 1994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + -6. Suppose -2*y + 14 = -2*a - 2*a, 3*y - 5*a - 20 = 0. Sort y, l, -3.\nAnswer: -3, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 418288 at least 418285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 + -1)\/(-5 + 0\/(-30)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1\/339 + 38999\/4746. What is the common denominator of -71\/2 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48412555 divided by 2.\nAnswer: 48412555\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 5*w**3 - w**2 - 6. Suppose -2*h = -44 + 124. Let n = -38 - h. Let i(v) = -11 - 2*v**2 + 9*v**3 + 0*v**3 + v**n. What is -3*i(u) + 5*l(u)?\nAnswer: -2*u**3 - 2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does -25207\/1782 = -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 + 4*q**2 + 5*q. Let l be r(-4). Let d be (((-168)\/l)\/(-7))\/((-3)\/10). Which is the closest to 1\/41?  (a) d  (b) 1  (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - 4633*v**3 - 142 + 9267*v**3 - 4635*v**3)*(-6 + 1 + 4).\nAnswer: v**3 - v + 142","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 9) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00008849296 rounded to 6 dps?\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + -200?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x + 11. Let u be v(8). Let q be (-187)\/u + (-4)\/6. Let g = 314\/5 + q. Put g, 0.4, 1\/7 in descending order.\nAnswer: 0.4, 1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*x - 33*x. Let d(w) be the second derivative of x + 0*w**2 - 2*w - 2\/3*w**4 + 0*w**3. Let b(l) = 2*l**2. Determine b(d(a)).\nAnswer: 128*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 2 = -z. Let y(q) be the second derivative of 1\/6*q**3 + 3*q**2 + 2*q + 0. Give y(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2378 (base 12) in base 4?\nAnswer: 332030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 150192219 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most -4\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21 and 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5\/18 - -1\/18. Let x = -0.01 + 0.41. Which is the nearest to l?  (a) x  (b) -1  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23790908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -7800111437944 - -5?\nAnswer: -7800111437939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 2*z**3\/3 - 256*z**2 + 25568*z - 565504\/3 = 0.\nAnswer: 8, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 3 t when four letters picked without replacement from {l: 4, t: 3, e: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1)*w)**25*((w*w*w*(w*(w\/(w\/(w*w**1)))\/w)\/w)\/w)**23 assuming w is positive.\nAnswer: w**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r*r\/((r\/r**(4\/7))\/r)*r\/(r\/(r\/(r**(-6)\/r))))**(-24))**(-3\/26) assuming r is positive.\nAnswer: r**(2916\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 5*x**2 - x - 2. Let y = 492 - 490. Calculate n(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2 + d + 1. Suppose -8 = 3*r - 5*r - 2*a, -2*a - 4 = -4*r. Let y(h) = -r*h**2 + 7 + h**2 + 0*h - 6*h**2 + 5*h. Give 6*k(c) - y(c).\nAnswer: c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 14112081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hrwh when four letters picked without replacement from {h: 3, r: 1, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2  (b) -13  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(117)*-2*4 + 4 - (sqrt(117) + (sqrt(117) - (1 + sqrt(117) + sqrt(117) + -4)) - (-3 + (sqrt(117) - sqrt(117)*-2)))))**2.\nAnswer: 60*sqrt(13) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 1675 divide 43578330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56132 is divided by 191?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 1291 + 14*f - 1291 as d + y*f and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 248*l**4 - 482*l**2?\nAnswer: 5952*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + 1)*-1 + (sqrt(19) + 2)*-6 + sqrt(19).\nAnswer: -6*sqrt(19) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 (base 16) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122550 is divided by 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/(-7)*1*36\/(-162)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/16707 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**2 + 2*f - 17. Determine g(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 969 and 1253544?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -4 - 12 - 2*f - 2*f + 4. Let g be w(-4). Solve 0*h - g*h + 4 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -514*t - 6. What is the hundreds digit of m(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3317 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 13.73. Let q = k - -41.27. Which is smaller: 2\/5 or q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 110 and 8570150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 3*f + 177. Let a(c) = 5*c + 364. Determine 2*a(t) - 5*w(t).\nAnswer: -5*t - 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/((-2*(-14)\/(-35))\/(8\/(-20))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4669145 divided by -933829?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 + -12)\/(-1*(17 + 1 + -17)). Let o(a) = -1 + 2*a - 12 - a. What is o(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 52*c + 33 - 85. Is c <= -7\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -29\/719654 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-4 - 1) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 5 + 0)*(20 + 10 - 32 + 30*b) - 4*b + 8 - 13 + 0 to the form q + g*b and give g.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = 4*n + 5, 2*t = n + 6*t - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -41.865 - -41.365. What is the closest to 2 in -0.02, 1, 2\/5, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 + 1 = 2*f. Suppose -2*g + 4 = -0*g, -4*u = -g - 14. Solve a - 2*s = 5*a, 0 = -2*a + u*s + f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -14, 3 in descending order.\nAnswer: 3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u. Let k(g) = 5*g - 1. Let p be k(1). Let s(l) = l. Give p*f(n) - s(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/25 and 35\/114.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1130022 (base 5) in base 6?\nAnswer: -235313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1170\/(-195))\/(2 + 0). Which is the biggest value?  (a) -247  (b) 4  (c) 1  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -7.95. Let q = 0.15 + n. Let k = q + 0.8. Which is the second smallest value?  (a) 1  (b) -2\/15  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 4:19 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000375881 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 447101333.\nAnswer: 7, 881, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 3*y = -42, -2880*h - 5*y + 61 = -2884*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 322349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1416*g = -c + 1413*g - 30, -2*c = -13*g - 6 - 10 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 - -61. Suppose -173 = -18*u + d. What is the greatest common divisor of 21 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(-35))\/(114\/760) - (9740\/5698)\/(-1)?\nAnswer: -2\/407","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -853*i + 60. Let f(u) = -856*u + 50. Let z(b) = -6*f(b) + 5*t(b). Let a(c) = c. Calculate z(a(l)).\nAnswer: 871*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1066070 and 510?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5)\/(-2)*4\/15. Let o = -0.022 - 24.978. Let g = -21 - o. Which is the second smallest value?  (a) g  (b) -0.3  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -2*o**3 + 29*o**2 + 18*o - 21. Let y be x(15). Let l be (-4)\/(y\/(-21))*(-20)\/(-7). Is l > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9453 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**2 + 15*z**2 - 10*z**2)*(-4 - 3 + 5) + (-3*z**2 + 2 - 2)*(-3 + 1 + 3) - 667 + 2*z + 3*z**2 + 253 + 346.\nAnswer: -8*z**2 + 2*z - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + 313.82.\nAnswer: 291.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cyo when three letters picked without replacement from {y: 2, d: 2, q: 3, o: 6, c: 2, n: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 - 434*r + 156*r + 9 + 7 + 276*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1420963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**2 - 62*o - 78. What is x(10)?\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -98.6 from -3093.9.\nAnswer: -2995.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 3*r + 14 = r, -4 = -k - 3*r. Let j = -2 - k. Find the second derivative of -i - 2*i**3 - i**j - i wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - 2*z + 290, 0*j + 5*j = -3*z + 482. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 1 + 1)*(0 + 0 + 2*x**2)*(-12*x - 7*x - 2*x + (-2 + 3 + 0)*(-x - 3 + 3)).\nAnswer: 220*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 5*i = -39 - 74, -u + i + 43 = 0. List the prime factors of u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 4*s = -24, x = 5*x - 2*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8\/(-216))\/((-2)\/6). Let u(k) be the second derivative of k**3\/6 + 3*k**2 + 2*k. Let z be u(-6). Which is the closest to 1?  (a) -2  (b) w  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -11 - -2787?\nAnswer: 2776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -76 - 18 - -65 - -81\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes after 3:47 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4, -363, -1\/29, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t**2. Let j(h) = 12*h**2 - 8*h**2 - 6*h**2. Determine m(j(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/(-12))\/(2*(-2)\/(-48)). Suppose 5*z + 35 = -4*c, -z + 3*z + n = 0. Let k(u) = 2*u**2 + 4*u - 9. Is 12 a factor of k(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13 less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.4566*824.\nAnswer: -1200.2384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 294 and 1978725?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 7 - 4. Let p be v\/(-5) + 1\/55. Let x = -13.2 + 13. Which is the nearest to 1?  (a) p  (b) x  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9.5669 - -66.\nAnswer: 75.5669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14789, -29791, -44793, -59795, -74797?\nAnswer: -89799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - s - 25 = 0, 5*w = 3*w + 2*s - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 + 32*h**2 + 2*h - 192. What is b(-31)?\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38, 158, 366, 662, 1046, 1518?\nAnswer: 2078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nyy when three letters picked without replacement from dyantya.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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 0 = -2*u + 4*u - 10. Suppose -y = y + 2*l - 16, -u*y = -5*l. Suppose 2*b + a - 20 = -a, -2*a = -y*b + 64. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1365099 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23 - -59. Let n = -12 + x. Let u = 24.000039 - n. What is u rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 2. What is the third smallest value in i, -2\/9, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 642180 and 217800.\nAnswer: 211919400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-3)*3*6\/72?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3514*b**3 + 1746*b**2 + 3*b - 994574.\nAnswer: -21084*b + 3492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 133 = -19. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -524 = -2*r + 4*u, -2*u = 8*r - 3*r - 1250. Suppose 24 = -4*j + 12*j. Suppose z - r = -j*z. Calculate the greatest common divisor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (5 + -17)*9\/(-12). Let i(m) be the first derivative of 8*m**2 - 17*m + 3. Is i(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5456\/(-32))\/31*(-252)\/66?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/6 - (-8)\/6. Suppose 23 = 16*r + 23. Solve t*h + 3*h - 25 = r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 334823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -35*v**5 - 60*v**4 + 55*v**3 + 60*v**2 - 20*v = 0.\nAnswer: -2, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 77 - 79. Let v be a + (-256)\/(-99) + (-32)\/144. Determine f, given that -6\/11*f**2 + 2\/11*f**4 + 0*f - v*f**3 + 0 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - 15. Let u be (11\/(-44))\/(10\/p). Put 0.3, u, 0.06 in descending order.\nAnswer: 0.3, u, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1662 (base 8) to base 13\nAnswer: -57a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 50 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 538\/35 + -79\/5. Let u be 3\/(-18)*(-6)\/(-4). What is the closest to u in j, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -3*c - c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -0.009, -1\/8, 3?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in -5, 1\/13, 2\/9, -0.08?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7544 (base 15) to base 8.\nAnswer: -60356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -3*k**3 - k**2 + 7. Let t = 33 - 47. Let z be 52\/14 + (-4)\/t. Let y(s) = 4 - 4*s**3 + z - 158*s + 158*s - s**2. Determine 6*r(q) - 5*y(q).\nAnswer: 2*q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together -13 and -2187234563.89.\nAnswer: -2187234576.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - 214?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -16556, -4, -1\/2, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 154737, 154739, 154737, 154731?\nAnswer: 154721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 + 4*q - 2. Let w(i) = -10*i - 47. Let c(n) = 3*n + 16. Let h(o) = -7*c(o) - 2*w(o). Let u be h(-14). Determine y(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/4 + (-883306)\/(-8). Suppose 247206 = 7*x - 1155685. Let q = a - x. Round q to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4\/(-1) + (12 - -4258)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 30. Let r be (3 + 1)\/(4 - d). Let t = 0.79 - -0.01. Which is the closest to t?  (a) 3  (b) 2\/7  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1910 is divided by 117?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1)\/2)\/((-1)\/8). Let r be (1 + 1)*21\/6. Suppose 0 = -2*k + 4*d, 2*d - 9 = -1. Solve b - h + k = -p*b, r = -b + 2*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 75 + -60. What is the remainder when 1530\/21 - (-2)\/14 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, -0.07, 0.1, 6\/11 in ascending order.\nAnswer: -4, -0.07, 0.1, 6\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(432) - (sqrt(432) - ((sqrt(432) + sqrt(432) + 1)*-2 - sqrt(432))) - (sqrt(432) + (sqrt(432) - (-1 + sqrt(432))**2) + -2).\nAnswer: -108*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1516373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 35560 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 949290, 1898540, 2847790, 3797040, 4746290, 5695540?\n\"Answer: 949250*j + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-40959)\/12177)\/(((-12)\/44)\/3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 512, -0.3, 1\/2, -1, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 2*i**3 - 76*i**2 + 69*i + 314. Calculate j(37).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 AM and 7:26 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + -1 + 2970\/(-48). Let q = 65 + u. Let c = 49\/38 + 4\/19. What is the smallest value in 0, c, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from {j: 1, l: 1, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -4*v + 2. Suppose 23 = -m + 5*d, 0 = d - 2 - v. List the prime factors of (m + 2 - 2)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((j*j\/j**0*j)\/j)\/j)\/j)**(-35))**(-42) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11671566*s**4 + 11532198*s.\nAnswer: -140058792*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/5, -3\/5, 6\/7, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2 - 11*n + 2. Suppose -7*m = -8*m - 30. Let i = m + 20. Let u be l(i). Calculate the highest common divisor of u and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 - 7*t**2 + 6*t + 4. Let w be y(6). Suppose 544 = w*z + 120. Does 33 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160057944 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 third root of 13489631 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -17  (c) -3  (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 - (2 + 3 + -4). Let x be (-2 - g) + 76\/2. Suppose 5*k - 275 = -x. Calculate the common denominator of -21\/4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53856 is divided by 10747.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 36.7 + -37. Which is the third smallest value?  (a) r  (b) 4\/13  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 308 = 14*k + 31*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11622636 divided by -168444.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**2 - 1 + 2*s**2 - s**2)*(6*s**2 - s**2 - s**2) - 4*s**4 - 7*s**4 - 28*s**4.\nAnswer: -31*s**4 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 191184492 and 427?\nAnswer: 1338291444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4199 a factor of 471585491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1014, 4071, 9222, 16515, 25998, 37719?\nAnswer: 51726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*o - 638 - 217 = 0. Calculate the highest common divisor of 627 and o.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -62, -115, -170, -227, -286?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*y - 2*y + 3*y)*(0 - 4 + 1)*(4*y + 2*y - 3*y) in the form b + x*y**2 + q*y and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -17  (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*((-8)\/2 - -3)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5243, -5181, -5119, -5057?\nAnswer: -4995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*u - 4*u - 7*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3382*g**2 - 4*g - 38112 wrt g?\nAnswer: 6764*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z - 5. Let c be l(8). Solve -c*t + 8*t = 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4455 - -9930. Calculate the lowest common multiple of t and 27.\nAnswer: 49275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**0\/z)**(-13\/6)\/(z**(-6)\/z**(2\/7))*(z**(-1\/2)\/z*z*z*z\/(z\/z**6))\/(z**2\/z*z)**(-7) assuming z is positive.\nAnswer: z**(608\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.1 - 2.6. Let r = z + -0.5. What is the biggest value in -1\/2, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 1 - 15*b - 13*b + 4*b + 3*b. Let l be h(-2). Let p = l - 207\/5. Calculate the common denominator of p and 63\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 287, -26, 2, -3, 28, 1.\nAnswer: -26, -3, 1, 2, 28, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(209) - (sqrt(209) + 1*sqrt(209))))\/sqrt(11)*-4.\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3\/2, -4, -28.\nAnswer: -28, -5, -4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 23.3 + -14.8. Let w = -10.4 - -1.4. Let h = v + w. Put -4, -1, h in increasing order.\nAnswer: -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4813.0025 + -4783. Let p = -30 + j. Round p to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/3, 2.6, -1\/9412, -0.5, -0.3, 5?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46940431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - -1. Suppose -2718 = 3213*d - 3515*d. What is the remainder when (153\/(-12))\/((-3)\/t) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44 is divided by 7\/(-35) - 152\/(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1151 or 1152?\nAnswer: 1152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7338 is divided by 749?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -109, -70, 1 in decreasing order.\nAnswer: 1, -70, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 736 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -6 + 8 - -14425 - -6. Let p = -9850 + m. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from mfzf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1\/104 + 5263\/1144. Let a = -509\/38 - -9311\/532. What is the common denominator of a and h?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -81 - -81?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118091689*d**3\/5 - 117657009*d**2\/5 - 86856*d - 80 = 0. What is d?\nAnswer: -20\/10867, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3*(-12)\/9)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + -28. Let s = q + 29.3. Which is the nearest to -2\/11?  (a) 5\/3  (b) s  (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.27056572263 - -0.270567. Round l to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65266207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 171654 less than or equal to 171446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/43  (b) 11  (c) 6  (d) -146  (e) -6  (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 60*t + 57*t - 79503 = 0, 28 = -4*t. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 65, -3, -38, 3.\nAnswer: -38, -3, 3, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -4*d**3 - 4*d**2 - 2*d. Let q be f(-2). Let u = q - 4. Let z = 31 - u. What is the greatest common divisor of 6 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -291.032 * 3.53\nAnswer: -1027.34296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 1060.\nAnswer: 4240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/173711 or 1?\nAnswer: 4\/173711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*l**3 + 19*l**3 + l**2 - 46*l**3 - 3*l**2 + 6*l**4 to q*l**3 + k*l + u*l**2 + x + i*l**4 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 3  (b) 0.4  (c) 32  (d) 61  (e) 0.3  (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -151 and 100.\nAnswer: -15100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 89*r + 22. Give a(-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 - 7*i - 7. What is v(-11)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*k + 39 = -889 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7)\/56 - ((-8)\/56 + (-1173)\/168). Solve m - l + 3 = 0, -10*l + r*l = m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-5*sqrt(243)*-1 + (sqrt(147)*-2 + (sqrt(3) - sqrt(3)*1) + 0 + sqrt(3))**2)*1.\nAnswer: -1014 - 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 5\/77, -7\/26, 3\/2, 3, 4?\nAnswer: 5\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3982157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 43  (b) 8  (c) -22  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 - 22*u + 19. Let q be b(20). Let x be (-387)\/81 - 4\/18. Let f be x\/(-3) - (-7)\/q. Is -3 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -14*n**5\/5 + 248*n**4\/5 - 1272*n**3\/5 + 1408*n**2\/5 + 512*n\/5 = 0.\nAnswer: -2\/7, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -251 + 255. Does 25 divide 4 - 2*-125 - d*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*r**2 - 3*r**2 - 3*r**2 + (3*r**2 - 2*r**2 - 3*r**2)*(-3 + 4 - 2) + r**2 - 2 + 2 + (-2*r - 3*r + 3*r)*(3 - 3 + 3*r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4957, 3908, 2857, 1804?\n\"Answer: -z**2 - 1046*z + 6004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 21082 and 21082 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22566*x + 62*x**3 - 69*x**3 + 9*x**3.\nAnswer: 2*x**3 - 22566*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 52 + -31. Let w(a) = a**2 - a - 1. Let i(v) = -4*v**2 - 3*v + 5. Let r(x) = i(x) + 3*w(x). What is the remainder when z is divided by r(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*i**2 + 0*i**2 - 4*i**2)*(2 + 2 - 3) - i + 4*i**2 + i)*(0 - 2 + 0).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7848 - 716. Does 154 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 2569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 249\/7 + -754\/21. Which is the closest to -1?  (a) m  (b) -0.12  (c) -2\/7  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -896, -3591, -8084, -14375, -22464, -32351, -44036?\nAnswer: -57519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -26  (b) 0.4  (c) -99.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 - 3*g - 3. Let l be x(6). Let i be ((-9)\/l)\/((-4)\/(-10) - -1). Suppose -8 = -k + 5*k. Which is the nearest to 0.2?  (a) i  (b) 0.06  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 32\/1413 and -109\/15441264.\nAnswer: 15441264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 430 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ivviffxxdiqx. Give prob of sequence qi.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of -931*r**5\/5 - 1169*r + 929. Differentiate v(t) with respect to t.\nAnswer: -3724*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.4 - -0.2. Let w = 1 - -2. Suppose -10 = -2*p - 3*z - w, 5*p + 3*z = 13. What is the closest to -0.1 in -3\/2, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101292 is divided by 1706.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/3)\/(1\/(-54)). Suppose -j = 2, -5*q - 3*j + 103 - 19 = 0. What is the greatest common factor of s and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 6840*u - 4. Let p(l) = 3425*l - 2. Give -11*p(m) + 6*s(m).\nAnswer: 3365*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of -13*f**5\/16 + 25*f**4\/16 + 5*f**3 - 5*f**2\/2 - 205*f. Suppose c(b) = 0. What is b?\nAnswer: -1, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -5180, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 + 9*k**2 - 11*k - 13. Let b be (-1150)\/138*12\/10. What is j(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, z: 2, p: 12, o: 1, l: 2}. Give prob of sequence zzvv.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + (4670\/110 + -19 - 14).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*(34312 + 1 - -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 AM and 9:18 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 10:41 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1661.876 - 1683. Let z = 21 + g. What is z rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - 27509)*(57\/(-6))\/19. Round f to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*(b*b**(-2\/21)*b)\/b)\/b**(-3))**50\/(b**(-4\/11)\/b*b*b\/b**(6\/11)*(b\/(b**7*b*b))\/b*b*b*b**(1\/9)) assuming b is positive.\nAnswer: b**(174661\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 288933*z + 0 - 271936*z + 0 to the form o*z + i and give o.\nAnswer: 16997","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 803, 3197, 7187, 12773, 19955, 28733?\n\"Answer: 798*k**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-3))**(-13\/2)\/(l*l\/(l**(1\/14)*l)*l**(-1)))**(-11\/3))**34 assuming l is positive.\nAnswer: l**(-51238\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.02, 0.2, 6\/85, 1\/3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64279*c + 31 = 64280*c + 6*r, -5*c + 20 = 3*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -33777 times -0.2\nAnswer: 6755.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/(h\/h**(-1)*h))**9*h*h**(-8)\/h*((h**(-4\/5)*h*h)\/h)\/h assuming h is positive.\nAnswer: h**(-89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - (3 - ((-2 - 5 - -5) + 11))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11840?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 360625070 to the nearest one million.\nAnswer: 361000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 49.764309 - 49.77. What is g rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 + 12*r**2 - 16*r - 22. Suppose 2*t - 3 = -1. Let c(x) = x. Let j(q) = t*o(q) + 6*c(q). Does 17 divide j(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5620, -5621, -5622, -5623, -5624?\nAnswer: -5625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(((-64)\/104)\/(-8)). Suppose -j*x + 275387 = -77940. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/10217106 and 107\/50.\nAnswer: 255427650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 440\/22*((-13702)\/(-340))\/(-31)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -3. Let n(q) = q**2 - 10*q - 18. Let m be n(13). Suppose -m - 14 = 7*k. Which is the nearest to o?  (a) 1\/6  (b) 2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3544, -6983, -10460, -13981, -17552, -21179, -24868?\nAnswer: -28625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*a**2 + 2*a**4 - 18*a**2 + (2*a**2 + a - a)*(-a - 3*a + 0*a)*(113 - 113 + 33*a) + 0*a**4 - a**4 - a**4.\nAnswer: -264*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -460, -494, -548, -628, -740, -890, -1084?\n\"Answer: -l**3 - 4*l**2 - 15*l - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7082269138?\nAnswer: 2, 7, 283, 881, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 3\/8  (b) 39.4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1902711351 to 4 dps.\nAnswer: -0.1903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3405247906 to the power of 1\/2, to the nearest integer?\nAnswer: 58355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5925461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29 + 28.9. Let t = 8 - 0. Let h = t - 7. Is h at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 2:56 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000102172552 rounded to seven dps?\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 61230.12 milligrams?\nAnswer: 0.00006123012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*w**3 - 2*w**2 + 76*w - 8864.\nAnswer: -6*w**2 - 4*w + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -886, -835, -710, -481, -118, 409?\n\"Answer: 5*v**3 + 7*v**2 - 5*v - 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-55 - 118 + 54)*(-p**5 + 5*p**5 - 5*p**5) + (2 - 1 + 1)*(4*p**5 - 9*p**3 + 9*p**3).\nAnswer: 127*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 46*g**4 + 84*g**3*v + 35*g*v + 60*g + 1 wrt g?\nAnswer: 552*g**2 + 504*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -483 + 967\/2. Let h = -0.4 - -0.7. Suppose -11*i = -9*i + 4. What is the nearest to i in 3, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = -5*q + 3*b - 11, -14 = -2*q - 3*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-9)*-24*255\/170?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2508)\/(-297))\/19*3\/(-10).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 112 and 1204?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 29985 by 4714.\nAnswer: 29985\/4714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2331724, -2331727, -2331732, -2331739, -2331748?\n\"Answer: -b**2 - 2331723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -4*k + 550, -2*u + 0*u = -2*k + 218. Let h be (1\/6 + u\/900)*5. What is the closest to -2\/9 in h, 1\/8, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*r - 113*r = 31 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -3*v + 393, -c - 3*v = -7*v - 122. Calculate the smallest common multiple of c and (8\/(-7))\/(132\/(-42))*66\/4.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 - 5*c + 2. Give o(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 n when three letters picked without replacement from {n: 2, h: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-65 - -82) + (16 - (-1 - -6)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o. Let z(n) = 398237*n**2. Calculate z(y(q)).\nAnswer: 398237*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1770 and 7238769.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 + -12. Let k = -3.93 - j. Let l = k + 0.03. What is the nearest to 1 in 0.03, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 10121110102022020?\nAnswer: 10121110102022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 - 3*r + 6. Let i be h(4). Solve 2*n + 2*s + 2 + 2 = 0, -5*s = 3*n + i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100*337.12\nAnswer: 33712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.141  (b) -0.3  (c) -0.161655\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.1 + 0.1. Let i = m + 4. Let x = 11\/9 + -73\/45. What is the closest to x in -1\/3, i, 1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86360 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/18*4\/16\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times -94.81\nAnswer: 9.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 - 7*m**2 + 6*m - 11. Determine w(-7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -106.3 - -112. Let k = 0.7 - j. Let w = k - -4.9999924. What is w rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -20697, -38685, -56673, -74661, -92649?\n\"Answer: -17988*u - 2709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 700040866 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-30))\/y*y)**(2\/129) assuming y is positive.\nAnswer: y**(-58\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 86\/255 + -1\/255. Which is the second smallest value?  (a) 13  (b) z  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 336427424 to the nearest ten thousand.\nAnswer: 336430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 86*n - 79*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 + 3*g + 4. Let h be f(3). Let w be 3\/((-1)\/(h\/(-3))). Let s(i) be the second derivative of i**3\/2 - 5*i**2\/2 + 2*i. What is s(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 4*l**2 + l + 2. Calculate the smallest common multiple of 16 and x(2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1826, 1772, 1690, 1568, 1394, 1156, 842?\n\"Answer: -2*d**3 - 2*d**2 - 34*d + 1864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**2 - 18*m + 331. Calculate l(0).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1422 - 340a?\nAnswer: -1ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + 4. Suppose -u*q - 24 = -7*q. Suppose -5*o + q + 4 = 0. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 7*r**2 - 3*r - 1. Let k be d(3). Suppose q = 6*q + 155. Let z = k + q. What is the least common multiple of 22 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1147 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -4 - 4. Let x(d) = -4*d - 14*d + 27*d + 23*d**3 - 8*d**3 + 9*d**2 - 4*d**3. Let h(y) = y**3 + y**2 + y. Give r*x(i) + 18*h(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/3)\/((-26)\/78). Suppose 2*c - 2345964 = -p*c. Let s = c + -1070994. Round s to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 4  (b) 25.6  (c) 1\/3  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 289586 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to -1\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiw when three letters picked without replacement from {r: 1, v: 2, p: 1, h: 1, i: 2, w: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -291465.717 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d + 61. Give i(-15).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 2 t when four letters picked without replacement from qotqooto?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -16*d - 1. Determine z(5).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p + 1. Let b(m) = -2*m - 5. Suppose -3*d - 4*s - s = 34, -s + 4 = -3*d. Calculate d*n(g) - b(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**2 + 90*z + 265. Give f(73).\nAnswer: 1506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + 6*n. Let l(p) = -p**3 + 4*p**2 - 3*p + 1. Let u be l(2). Solve 5*y + 5*x + 25 = n, 5 = y + y - u*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, 75, 13 in ascending order.\nAnswer: -2, 1, 13, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((-1*sqrt(209) - sqrt(209)) + sqrt(209)))\/(sqrt(11) - (sqrt(99)*-1 + sqrt(99))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 828106.\nAnswer: -3\/828106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-114 - 35*z + 113 + 9*z)*(-3*z**2 + z**2 + z**2) + z**3 + 0*z + 0*z as a + x*z**2 + c*z**3 + g*z and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -3231*z - 174071. Determine b(-54).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 53153597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*n + 0 + 69*n - 21*n + 0.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 37*s**3 + 6*s**2 + s - 2. Determine n(-2).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)*-3*3)\/(sqrt(3) + (-3*sqrt(27))\/sqrt(9)).\nAnswer: 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -174 and 257855?\nAnswer: -44866770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(980)*2)\/(sqrt(28)\/(sqrt(14)\/sqrt(2))).\nAnswer: 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in 0.3, 4, -2, 3, -1\/15, 505?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/11 - (-2304)\/(-396). What is the units digit of 28 + 0 + g - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 12) + (3 - 6) + -31 + 27\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -0.4  (b) -4  (c) 4.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 5, r: 3, c: 4}. Give prob of sequence cccr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1*((-3)\/(-1) - -6) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times -69070\nAnswer: -27628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 3*w**3 - 630*w**2 - 5707*w - 10. Calculate s(-9).\nAnswer: -1864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 8, 2, -38, -130, -292, -542, -898, -1378?\n\"Answer: -3*x**3 + x**2 + 12*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 + 4. Let y be q(0). Suppose y*t - 49342756 + 5342772 = 0. Let u be 4\/10 + t\/10. Round u to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 0*o - 16 = 0, -4*y = -5*o + 4. Let i(g) = 6*g**2 + 3*g + 6. Calculate the remainder when i(y) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 22*m - 190. Determine d(12).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -65*l + 403. Give u(21).\nAnswer: -962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-27*w + 17*w - 48*w)*(-2 - 2 + 2 + (3 - 3 + 2)*(0 + 2 + 1))*(w + w - 6*w) in the form p + l*w**2 + y*w and give l.\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n**(3\/8)*n\/(n\/(n\/(n\/n**(-10)))))\/(n**(-1))**36 assuming n is positive.\nAnswer: n**(227\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (72*c + 141*c**3 - 72*c + 2*c**2)*(0 - c**2 + 0).\nAnswer: -141*c**5 - 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 978356.8 millimeters to centimeters.\nAnswer: 97835.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 171240983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 25*l + 9. Let w(m) = -7*m + 1. Let o(d) = -f(d) - 4*w(d). Let s be o(6). What is the third biggest value in -3, -4\/5, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*s - 5*s. Let c be (-35)\/(-21)*4*9\/(-360). What is the biggest value in c, -1\/26, s?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/((0 - -1)\/1). Let b be (g + (-4)\/5)*-3. Suppose -6*l - 12 = -8*l + 4*f, 3*l + 14 = -2*f. Do b and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (-1 - -1) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**26*g\/((g*g\/(((g\/g**(-4\/19))\/g)\/g))\/g) assuming g is positive.\nAnswer: g**(479\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/10 and (-21)\/(-35)*-5*(-5)\/(-36).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - -18 - (3 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1889 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: Determine p, given that -2*p**2\/17 + 2268*p\/17 - 642978\/17 = 0.\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -4*a + 2. Suppose -a*c - 789 = 27. Find the common denominator of (c\/56)\/(4\/(-7)) and 59\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 15*z - 14*z. Solve 4*n + z = -5*g, 3*n + 3*g + 35 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o + 2. Let f = 34 - 45. Let j = f - -36. Suppose -j = 5*i, -6*c + 2*c = 4*i - 8. Determine z(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -3*(-4*sqrt(1872)*1 + -3) + -1)**2 + -4)*2.\nAnswer: 6912*sqrt(13) + 539416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 66258.3 * 581\nAnswer: 38496072.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 28220944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 306507066.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2584 is divided by 72.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*w + 5*w**3 + 1 + 26*w**4 - 3*w**3 - 27*w**4 - 2 to l + j*w + i*w**3 + p*w**2 + y*w**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1163 or 1155?\nAnswer: 1163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-10)\/65 - (-134)\/26) + 2. Suppose m*l - 2245 = 3446. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/1552 and -79\/6790?\nAnswer: 54320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from xmebbbbmxbmb.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/6)\/((-14)\/63*24).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 52916 + 137558 = b, 4*p - 3*b - 67725 = 0. Let x = p - 609485\/36. What is the common denominator of x and (201\/72)\/(1\/(-2))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 671\/660 + (-2)\/(-6) - 3600\/(-9000).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 159 - 159. Let l be c + (3 - -1 - 5). Let z(p) = -14*p**2 - 2*p - 1. What is z(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16769 + 16768 - 33534 + 43*n.\nAnswer: 43*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3038\/95 + -32. Which is the nearest to -2\/5?  (a) -0.04  (b) v  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8*45.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -42 + 6 + (-5 - -7) - (-80 - -85).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*r + 12. Suppose a - 28 = 5*y, 12*a - 11*a = -5*y - 22. Solve -5*v - 4 = -a*b - 2, -v = 3*b + r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 86 and 61140797.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -6*4\/((-12)\/5). Let u = a + -7. Solve 3*o - 4*c = 5 + 27, 7 = u*o + c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20 + 2)*112\/(-96)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from paqpaqzppzpphqz. Give prob of picking 2 q and 1 a.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/379764 and -131\/2520.\nAnswer: 3797640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 504 and 224.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2*(-28)\/(-12))\/(2\/15). Let f = -30 - j. Factor 140 + 15*y - f*y**2 - 140.\nAnswer: -5*y*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1913 + 6056. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 + 59*j + 1490. Calculate r(92).\nAnswer: -1546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 536.747 - 536. What is t rounded to two decimal places?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 105061 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -506.5385 to the nearest integer.\nAnswer: -507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2078.537l?\nAnswer: 2078537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*k - 13. Suppose -4*q = -0 + k, -4*q - 16 = -x. Suppose 0 = 4*d - x*d + 48. Calculate the highest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 109687103?\nAnswer: 167, 656809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 320 - 400. Suppose 60 = -g + 6*g. What is the lowest common multiple of g and d\/14 + (-6)\/21?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.440964l to millilitres.\nAnswer: 4440.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22.1 - -22. Let o = 4 + -3.7. Let f = 1.09 - 0.09. Which is the closest to 1?  (a) d  (b) o  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -46*l + 1306. Let m be r(27). Solve -89*f = -m*f + 25 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -22 + 85. Suppose 2*b = -5*k + i, 4*k - 200 = -4*b - b. What is the common denominator of 79\/4 and 9\/(-5)*(-80)\/b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 1*((1 + sqrt(75))*-5)**2.\nAnswer: 250*sqrt(3) + 1899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/((-18)\/(-10) - 2). What is the highest common divisor of p and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 + -15. Let s = 8 + b. Calculate the greatest common divisor of 27 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -0.1  (b) -4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 13*s + 39 = 0, 5*s + 213 = -3*v + 198 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2394 + 1774*z + 2386 - 2394*z.\nAnswer: -620*z - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from thtdxtthhvhxdx. Give prob of picking 3 h and 1 v.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 73919 = -2*d - 74016, 6*z + 114 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 + 81*s**2 + 211*s - 7422. What is n(-77)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -100 - -281. Is 33 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -59.35 - -64.35. Which is the third smallest value?  (a) x  (b) -5\/3  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4702 and 7.5.\nAnswer: -35265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 26.2 and 5.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3\/7)\/(w**(-1)\/w))\/((((w*w**0)\/w)\/w)\/w**(3\/7)))\/((w**(-1\/9)\/w)\/(w**(-7)\/w)*w**(-3)\/w**8) assuming w is positive.\nAnswer: w**(64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2 - -3607) + 15\/((-150)\/80)?\nAnswer: 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 22\/(-8) - (-418 - -415)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 238*w - 408 = -45*w + 334*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 7851, -0.15, 0.14?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10480 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2*k + 4)*((-3 + 2 + 3)*(5 + 1 - 4) + 2 - 5 + 1 + 2 + 7 - 3).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hrzrn. Give prob of picking 1 z, 1 h, and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 149 = -5*s, 5*s = p + 42 - 119. What is the smallest common multiple of 5 and p\/18 - (1 + -15)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2494 is divided by 227?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1233787, -1233796, -1233805, -1233814, -1233823, -1233832?\n\"Answer: -9*u - 1233778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -172 - -172. Suppose 259 = g + 3*h, -6*g + 4*g - h + 523 = o. What is the remainder when g is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 - 8*q + 1. Let g be ((-1)\/3)\/(4\/(-96)). Let j be d(g). Sort 3, j, -4.\nAnswer: -4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 223072985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120 - 36 = 28*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b + 5*b - 18. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 10) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 3*w**2 - 6 + 2*w - 2*w**2 + 0*w**2. Suppose -7 = -b - k, -5*b + 3*k = -18 - 9. Is y(b) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -143\/7798000 and -57\/518000?\nAnswer: 288526000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*h**3 + 4*h + 26*h**3 - 4*h.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 2*v - 10, -25 = -51*u + 54*u - 5*v. Suppose u = 4*l - 2055 + 543. Does 63 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - -10110011001010?\nAnswer: 10110011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1003010311 - -22201?\nAnswer: 1003033112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ztdbttttzqqtddq. What is prob of picking 1 b and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 5 = 5. Suppose 46 = x*i + 1. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1210589.\nAnswer: 263, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of 2*d**2 + 25*d + 12. Let j be i(-6). What is the tens digit of (j*8)\/(6\/21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-13\/4)*z)\/z**14)\/(z**(-1\/6)\/z**(-18)) assuming z is positive.\nAnswer: z**(-409\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/16)\/(2\/(-16)). Sort n, 6, 4.\nAnswer: n, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2239546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -16\/303473 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 + 3*n - 7. Let w be l(-5). Suppose 4*q = w*q. Suppose -2*x + 0*x + 16 = q. Calculate the remainder when 28 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k + 16*k + 4*d = 1096, 3*k + 2*d = 826. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96723.\nAnswer: 3, 11, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 432 = -8*o + 632. Differentiate 5*r - 59 + o*r - 163 with respect to r.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 777\/(-1260) - 1\/15*2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26382 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-2)*3*(-4)\/18\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004736 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 24 - 16. Suppose -10 = 5*y, f*y = 2*s + 3*y - 46. Suppose 255 = 5*m - 5*b, m = -0*b + 2*b + 50. Calculate the remainder when m is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29, 138, 1, -9, -6, -3, 0 in decreasing order.\nAnswer: 138, 1, 0, -3, -6, -9, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40173 is divided by 582.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2646 and 1092?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -917470 divided by 15.\nAnswer: -183494\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 3*g + 319, 3*g = -6*o + 3*o - 195. Let n = o - -106. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 389697 and 602259.\nAnswer: 6624849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 - 6*i**2 - 5*i + 3. Let p = 39 + -32. Let k be a(p). What is the highest common divisor of k and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4016856471?\nAnswer: 3, 367, 577, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(2\/23)*q*q**5*(q**(-1\/3))**4 assuming q is positive.\nAnswer: q**(328\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8*8\/(220\/33*3). Factor -12\/5 - 4\/5*k**2 - v*k.\nAnswer: -4*(k + 1)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**2 - d**2 + 2*d**2)*(11 - 6*d**3 - 11) + 0*d**4 - d**5 + 0*d**4.\nAnswer: -13*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3  (b) 0.65  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 - a**2 - a + 2. Let y be o(2). Let b(v) = -v**2 + 40*v + 80. Let x be b(42). Let g be (-2)\/(-3) - (-22)\/(-6). Sort g, y, x in descending order.\nAnswer: y, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of 10341*t**2\/2 + 10136*t - 1750. Differentiate q(r) with respect to r.\nAnswer: 10341","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 259 + -257. Let l(v) = 8*v**a - 3 + 39*v**3 - 38*v**3 + 6*v - 1 - 1. What is l(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -134 + 133.6. Which is the closest to -4?  (a) -1\/3  (b) i  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*u + 29 = -10*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 12822088*p**2. Let m(c) = -3*c**2. Determine y(m(q)).\nAnswer: 115398792*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 4 = -o, -o + 4 = -0*b - 3*b. Suppose -3*z + 1 = -h + 9, -2*z - 9 = -h. What is the derivative of h*f**4 + 0*f**2 + b*f**2 + 5 wrt f?\nAnswer: 44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -5*v + 17. Solve v = -x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6646463 a multiple of 577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -2*w**2 + 8*w - 10. Calculate t(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 19*q - 9*q - 6 - 4*q**2 + 6*q. Let c(r) = -1. Let y(a) = -6*c(a) - t(a). Factor y(g).\nAnswer: 4*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - 275*o + 3496. Give c(13).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiikiiiiik. What is prob of sequence ii?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 4*d - d = 6, -4*d = 2*g - 10. What is the hundreds digit of 36285\/118*(-10)\/g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z + 16*z = 164. Let x = z - 79\/2. Sort 4, -10, x in descending order.\nAnswer: 4, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -998 - -1052. What is the smallest common multiple of b and 8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65) - (5*sqrt(65) + sqrt(65))*-2)\/(sqrt(5) + (2*sqrt(720) + sqrt(720) - sqrt(5))).\nAnswer: 13*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = 2*o + 2, 0 = -3*o + 5*v + 10 + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) 0.3  (b) 1.5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 + 1 - 5)*(-2*j + 2*j - 6*j**2) + (-38*j**2 - 15*j**2 + 18*j**2)*(5 - 6 + 11) in the form o*j + l*j**2 + z and give l.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 152 + -147. What is the greatest common divisor of 35 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 - 2*f. Let b(z) = -106*z**2 - 6*z. Let v(m) = -b(m) + 3*o(m). Let i(u) = 2*u. Calculate i(v(x)).\nAnswer: 218*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4427338309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 13 and -11.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, i: 2, w: 1, t: 2, z: 2}. What is prob of picking 1 z and 1 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 339235.\nAnswer: 5, 13, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16514?\nAnswer: 2, 23, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 549 = -4*x - 0*t, -x - 3*t + 141 = 0. Let p = x - 95. List the prime factors of p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 597?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -471740 divided by -229?\nAnswer: 2060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, 3, -49 in increasing order.\nAnswer: -49, -24, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of w**6\/60 + 10*w**3\/3 - 7. Let p(u) be the third derivative of t(u). Let m(i) = i**2. Determine m(p(n)).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 135 = -8*u. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 30044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(2\/53))\/z*z\/(z\/((z*z**9)\/z*z))*(z**(-6\/7))**(-2\/21) assuming z is positive.\nAnswer: z**(26280\/2597)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 105808?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cfo when three letters picked without replacement from fccfjocofocfjfooffj.\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/17, 0.4, -1, 3\/7, 33 in descending order.\nAnswer: 33, 3\/7, 0.4, 2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 427*a**2*d**2 + 436*a**2 - a + 60*d**2 + 2 wrt d?\nAnswer: 854*a**2*d + 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 43*b - 18. Let j(r) = -48*r + 19. What is 4*j(h) + 5*m(h)?\nAnswer: 23*h - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**2 + 2*s**2 - 5*s**2)*(3 - 1 - 4)*(4*s + 6*s - 3*s).\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 - -19. Suppose -g*m - 24 = 4*p + 9, 0 = 5*p + m + 36. Which is greater: -11 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -33 + 27. Let s(l) = l**2 + 15*l + 57. Let t be s(w). Solve 5*a - 33 = -2*p, t*p = p + 3*a - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2652 - -3801. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 829 - 610. What is the smallest common multiple of 9 and m?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -195, -186, -165, -126, -63, 30?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 14\/17  (b) -1\/42  (c) -13873\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -495280191*z**3 - 8*z - 19369871.\nAnswer: -2971681146*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10e (base 15) to base 2.\nAnswer: 11101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.0265 - 0.0265251. What is l rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 12*t = -23, 36 = 2*s + t + 15 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 + 2*k + 1. Determine a(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 852081.8s?\nAnswer: 852081800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15777 is divided by 1487.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2549.\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 12) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 134.2 + -134. What is the closest to m in 0.11, 0, -1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of 1\/2*q**4 + 0 - 1\/3*q**3 - 1\/20*q**5 + q**2 + 4*q. List the prime factors of h(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 446.\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*j - 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + 10 - 25 - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.056 and -316?\nAnswer: -17.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*b**2 - 3*b**2 - 9*b**2 - 34*b**2 + 3*b**2.\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -6 + 2 + 6 - i. Suppose -5*o + 3*g + 454 = 0, 0 = -o + 4*g - 2*g + 95. Let d = o - 82. What is c(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) + -4)**2 + -5 + sqrt(720) + sqrt(5) + 0 + 0 + (sqrt(15)\/sqrt(3) + sqrt(5) + -4)**2.\nAnswer: -99*sqrt(5) + 767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 214*s + 9721. Give o(-40).\nAnswer: 1161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 3 + 4 - 2*d + d + 0*d. Let r be y(4). Solve -r*l - 27 + 12 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - j = 4*k - 31, -4*j + 4*k + 24 = 0. Let m(y) = 6*y + 18. Let c(i) = 2*i + 6. What is j*c(s) - 4*m(s)?\nAnswer: -2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 187\/(-33) - 1\/3. Let i = -4 - v. Solve 3*n + 0*f = -4*f + i, -n + 3*f - 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 776*x = 188*x + 9408 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(5\/9))\/t*t*t**(-8\/5) assuming t is positive.\nAnswer: t**(-2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*l + l + l)*(-6*l**4 + 4 - 4 + 5*l**4 - 2*l**4 - l**4 + (-l**2 + 3*l**2 - 4*l**2)*(-2*l**2 - 2*l**2 + 2*l**2) - 2*l**4 - l**4 + l**4).\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(16)\/sqrt(72) + sqrt(24)\/sqrt(192))*-5.\nAnswer: -35*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -962*m - 12177. Is 27 a factor of g(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -300 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 3, 120, 0.9 in ascending order.\nAnswer: 0.9, 3, 5, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2378507803?\nAnswer: 7, 47, 97, 74531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -10*c**2 - 84*c + 22. Let t be m(-8). Calculate the highest common factor of 174 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 0*v = -2*f - 8, f - 3*v = -11. Let u(l) = 0 + 6 - 2 + l - 2. Let o be u(-5). Sort f, o, -2.\nAnswer: f, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4471, 6809, 9157, 11515, 13883, 16261?\nAnswer: 18649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -141*j**2 + 8. Let g(f) = -10*f. What is g(s(x))?\nAnswer: 1410*x**2 - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*f + 151242000 = -6*f. What is f rounded to the nearest 100000?\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -2 - 14. Let p(c) = 56*c - 775. Let i be p(14). Suppose 0 = -i*y + 17 + 1. Solve 0*j = y*j - q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 363006494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the first derivative of i**3\/3 + 17*i**2\/2 + 34*i + 75. Let c be z(-15). Solve -c*y = y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -885, -3295, -7533, -13785, -22237?\nAnswer: -33075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 82, -8, -278, -818, -1718, -3068, -4958, -7478?\n\"Answer: -15*j**3 + 15*j + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 + 20. Solve -6*f + 20 = -l*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6849422?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -7  (b) 3\/41  (c) -3  (d) 40\/3  (e) 2\/3  (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 95 = -4*p. Let b = p - -46. Suppose 2*i + 0*i = -n - 9, 5*i + b = -n. What is the smallest value in n, -0.3, -2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**2 - 55*q + 297. Determine m(-44).\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 421853 take away 0.4?\nAnswer: 421852.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 3*v + 92320 = 0, 0*v = 2*h + 2*v - 46174. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 64314, 128629, 192944?\n\"Answer: 64315*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -87*d - 15*d - 72*d as s*d + q and give s.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -264260*l + 264253*l = -11165. What is the smallest common multiple of 957 and l?\nAnswer: 4785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -302.2 + 310. Let f = 7.7973 - b. What is f rounded to four decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 2*h = 276 - 113, 2*h - 116 = -4*x. Suppose -2*k + 13 = -0*k - l, 0 = -3*k + 4*l + 32. Suppose 5*o + x = -k. Round o to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -5*h**4\/3 - 35*h**3\/3 + 45*h**2 - 145*h\/3 + 50\/3 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.075 * -11.933\nAnswer: -0.894975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 4*s + 2 + 11, 0 = -3*s + 9. Which is smaller: l or -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, 1.9, 2\/7, -0.23, -106, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 68154 - 35598 + 74875 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6072*y + 2026*y + 24 + 2026*y + 15 + 2024*y + 17.\nAnswer: 4*y + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -3*q + 42608, -3*q + 6741 = r - 35863. What is q rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 418812431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -4*c**3 + 16*c - 20. Let u(y) = -y**3 + 4*y - 5. Let k(l) = 2*t(l) - 9*u(l). Let g(p) = p**3 - p**2 - p + 4. Let h be g(0). Is k(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1549724.\nAnswer: 2, 11, 35221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2967 + -2913. Let g(l) = -6*l + 6. Suppose -5*s + s - 20 = 0. Let v be g(s). Calculate the highest common factor of u and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5)\/(-3)*(-76)\/(-95). Let b be (5 + 0)*(-4)\/(-30). Factor 2\/3*r**3 + b*r + q*r**2 + 0.\nAnswer: 2*r*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -2\/337, -58, 8, -0.3 in descending order.\nAnswer: 8, 0.5, -2\/337, -0.3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 8*q. Let h be (-4)\/(-16)*(4 - 8). Let v(r) = 4*r**2 + 3*r + 1. Let t be v(h). Let z(i) = -2*i**t + 2337*i - 2337*i. What is z(j(k))?\nAnswer: -128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the third derivative of 31*w**9\/126 + w**7\/210 - 157*w**5\/20 + 2*w**2 - 12. What is the third derivative of x(b) wrt b?\nAnswer: 14880*b**3 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10000011 (base 2) to base 6.\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 145007 is divided by 239?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -77370 divided by 5.\nAnswer: -15474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ovoppwwlpvlwp. What is prob of sequence lv?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5759011.\nAnswer: 5759011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10 and 0.4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o + 9. Let w be t(-7). Suppose -z = w*l - 21, -4*z - 4 = -3*l - 0*z. Solve u = -u - l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2524.863 to the nearest ten.\nAnswer: -2520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6528660713?\nAnswer: 6528660713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + -8 + 1 - (9 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from {s: 3, n: 3, d: 3, a: 1, c: 2, x: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4165 and 414885.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3714*w**3 + 51*w**2 + 394031?\nAnswer: -11142*w**2 + 102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-12)\/(-42) + (-2)\/7. Solve 0 = 5*f - 10 - h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.7 + 6. Let y = -1733 - -1731. Which is the nearest to m?  (a) 0.4  (b) y  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of u**2\/2 - 7*u - 1. Let x be (-4 - -7) + 1\/(-1). Let n be 1*1\/x*0. Determine h(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 711 a factor of 4281642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 3*x = -2*w, -5*w = -2*x. Suppose 5*f = -g + 415, -f + 2*g - 2 + 85 = w. Is f 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 147*y**2*z**3 + 30*y**2*z - 2*y**2 + 167*y*z**3 + 3*y + 35*z**3 wrt y?\nAnswer: 294*z**3 + 60*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 157877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 66503?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1213, -2403, -3571, -4723, -5865?\nAnswer: -7003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -37\/4, -7 in decreasing order.\nAnswer: 1\/3, -7, -37\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -56118140 rounded to the nearest 10000?\nAnswer: -56120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 70 = 16*s. Let a = 21 - s. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (214*o - 5 - 73*o + 5)*(3*o**3 - 2 + 2).\nAnswer: 423*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -17898747.\nAnswer: 89493735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10103125, 20206258, 30309397, 40412542?\nAnswer: 50515693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4570497 divided by -1523499.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 1 = -1 - 2. Solve 3*k = c + 4, 3*k + r*k + 5 = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -85*b**2 + 1529503*b*k**2 + 337696093*k**2 wrt b.\nAnswer: -170*b + 1529503*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 217925*b**6 + 35806*b**2.\nAnswer: 26151000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + -3e1393a?\nAnswer: -3e13935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 - 157*j - 2403. Let s be g(-138). Calculate the greatest common divisor of 19637 and s.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 419775 and 957.\nAnswer: 4617525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1763280 divided by 4740\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 999056 is divided by 2629?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i + 5*c - 8, -2*i + 2*c - 5*c = -6. Solve 223 - 211 = -i*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*h - 8 = -66*h. Suppose 4*w + l - 16405292 = -2805290, 0 = h*w - 4*l - 13599992. Round w to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {u: 2, p: 1, o: 2, i: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.349292 millilitres in litres?\nAnswer: 0.003349292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3027650844.\nAnswer: 2, 3, 59, 1567, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 426375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 10*r + 75. Let n be v(-7). Suppose 2219 = n*a + 2*a. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -38*p**3 - 4*p + 28. Let i(b) = 76*b**3 + 7*b - 46. Calculate 3*i(r) + 5*l(r).\nAnswer: 38*r**3 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 + 4*f**2 + 2*f + 2. Suppose -4*y - 4*t = 8, t + 4*t - 10 = -y. Let k be (2\/y)\/((-1)\/(-10)). Give o(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v = -v + 24. Let r(h) = h**3 + h**2 + h + 1. Let a be r(-2). Let x(z) = -4. Let u(p) = p + 7. Calculate a*x(k) + v*u(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 240333162, 240333162, 240333164, 240333168, 240333174, 240333182?\n\"Answer: q**2 - 3*q + 240333164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (45257\/(-13550) - (-8)\/(-50))*(-144)\/(-7)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1\/6, 0.4, -7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnouuan. What is prob of sequence unnn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -17 - -19 - ((-2 - 1) + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 10*q - 3. Calculate n(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1297671904.2 - -1.\nAnswer: -1297671903.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 1\/((-2026)\/(-675) - (12 - 9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2715, -2691, -2667?\nAnswer: -2643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 o when three letters picked without replacement from qqthhhoqtt?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2960901913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2*p**3 + 27*p**2 - 11*p + 34. Calculate z(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4999 is divided by 499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -132 + 114. Which is the nearest to 1\/4?  (a) o  (b) 0  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 33 - 230023322222?\nAnswer: -230023322123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2655 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -3) + -5 + (5 - 9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*h**3 + 0 + 12*h - 7*h**2 + 1\/2*h**4.\nAnswer: h*(h - 3)*(h - 2)*(h + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:50 AM and 5:28 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**2 + 6*x**2 - x**2)*(-2*x**2 - 3*x**2 + 4*x**2) - 13*x**4 + 18*x**4 + 11*x**4 + (3 - 3 + 2*x**2)*(3*x**2 + x**2 - 3*x**2).\nAnswer: 13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 - 19. Let z(t) = -8*t**2. What is z(w(f))?\nAnswer: -8*f**4 + 304*f**2 - 2888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (8 - 3 - -334) + 0. Let q = -295 + l. Calculate the highest common divisor of 1012 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 5 = -1. Suppose -5*s + 3*v + 75 = -l*v, -84 = -4*s - 2*v. Calculate the remainder when (33 - -2) + (-2)\/(-2) is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 89935*g**3*m - 24*g**2*m - g**2 - 15*g*m - 3*g wrt g?\nAnswer: 539610*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4.969 and -121924330.\nAnswer: -121924334.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - -4611362?\nAnswer: 4611361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 784.1 * 1.48.\nAnswer: 1160.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -191*d + 1383 = 4*d - 1737 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-8))\/(30\/20)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 PM and 7:13 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 - 13*f**2 + 18*f + 25. What is z(-14)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(112))*-3.\nAnswer: -12*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8064236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -8743 bigger than -8743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 451.7065 years to centuries.\nAnswer: 4.517065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes before 11:11 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 341545136 - 0.0025?\nAnswer: 341545135.9975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {t: 2, s: 2, b: 8}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.9 at most as big as -1311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -1 + 23 + -34 - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-88)\/(-60))\/11*36\/3?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ylyyyloo. Give prob of picking 1 y, 1 o, and 1 l.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -4*d + 11. Suppose -d*k + 0*k = 0. Suppose 0*f - 5*f + 40 = k. What is the highest common divisor of 88 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1827911717?\nAnswer: 79, 23138123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1232928.\nAnswer: 2, 3, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(-3\/4)\/u)*u\/(u*u\/(u**4\/u)*u))**32\/((u\/(u**(2\/7)*u*u))**(-27)\/(u**(1\/3))**(2\/29)) assuming u is positive.\nAnswer: u**(32465\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 2*k + 6 = 0, 14*j = 18*j - 6*k - 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35 and 15085.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 14 = 5. Let u = b + 151. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*f**2*o**3 + 197*f**2*o**2 + 3*f**2 + 143*f wrt o?\nAnswer: -6*f**2*o**2 + 394*f**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -102*s**2 + 1. Determine z(-1).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 206430103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-51)\/(-68) + (-3)\/4. Let k(b) = -9*b - 26*b**3 - 1 + p*b - 10 - b**2. Is k(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5\/4?  (a) -5  (b) -9  (c) 6  (d) 1283  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -180, -219, -278, -363, -480, -635, -834?\n\"Answer: -f**3 - 4*f**2 - 20*f - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.5 less than -0.3?\nAnswer: 24.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 98610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2141825 is divided by 5852?\nAnswer: 5845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 - v - 1. Let b(h) = -19*h**3 + 4*h**2 + 3*h + 4. Give -b(o) - 4*r(o).\nAnswer: 19*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -24590, -98443, -221532, -393857, -615418, -886215, -1206248?\n\"Answer: -24618*s**2 + s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 + 17*i + 13. Let n = -8015 + 8026. What is the remainder when j(9) is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + (-3)\/(9\/6). What is the third smallest value in -4, 1\/10, m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 10 = 4*j. Let u = j - -10. Let r(n) = -n**3 + 16*n**2 - 13*n - 14. Calculate the least common multiple of 4 and r(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w*w\/(w**5*w))**27*w**45\/w*w**(3\/13) assuming w is positive.\nAnswer: w**(-478\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*s - 2*y = 6*s + 2, -5*y = -3*s - 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8074 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 11\/7, -1\/1054 in decreasing order.\nAnswer: 11\/7, -1\/1054, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 4*s - 8*s + 2*s - 4. Let o be w(-4). Let n(t) = -5*t**3 + 11*t**2 + 13*t - 29. Let k be n(2). Solve g - k = -0*g + 4*h, 5*h - o = -4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 16  (b) 5  (c) -2\/87  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - -1. Suppose -6*x - j*x = 0. Suppose 52*t - 54*t + 1706 = x. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = 3*c + 5*r - 195, -5*c - 4*r = -312. Let a = c + 51. Suppose -2*s + 103 = -a. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/10 + 12\/(-16).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10039\/9 - 1128. Suppose -7*q - 60 = -11*q + 4*j, 2 = -j. Let p = h + q. Which is the third biggest value?  (a) p  (b) 3\/4  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2170158 to 4 decimal places.\nAnswer: 0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-345210874)\/102)\/(2\/(-36)). Suppose v - 119566 = -4*b. What is b rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**5*w**4*w)**8*(w**(1\/28)*w*w**(-10\/7))**(-46) assuming w is positive.\nAnswer: w**(1373\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 4*l + 4*t, -2*l + 6*l = 2*t. Let a(y) = -2*y + 1200*y**2 + 3 - 600*y**2 - 5 - 602*y**2 + 5. Give a(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 12*n - 9175965 = -62*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l + l - 2*l)*(3 - 3 + 2*l) + 4*l**2 - 2*l**2 - l**2 - 73*l**2 - 90*l**2 + 63*l**2.\nAnswer: -101*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30475 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-18) - 1332\/(-1620).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g**(11\/4)\/g)\/g)\/g*g*g**(-4\/13)*(g\/(g\/(g*g**(-1\/2))))\/((g*g**(-24))\/g) assuming g is positive.\nAnswer: g**(1349\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 56\/32*(-2)\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 41 + -7. What are the prime factors of q*((-25)\/(-10))\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 45*g**2 + 4*g - 3. Let m be b(1). Let i = -28 + m. Calculate the highest common factor of i and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -6*k - 18. Calculate the smallest common multiple of 16 and 24\/1 + 8 + k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 392099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 5*j**3 - 4*j**2 + 6*j - 11. Let r(w) = 4*w**3 - 4*w**2 + 5*w - 10. Let y(b) = -6*r(b) + 5*v(b). Is y(-4) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d**(-1\/3)*d\/d**(-1)*d)\/(((d**(-6)*d)\/d*d)\/(d**(-1)\/d*d)))\/(d\/(d**5\/d)*d*d\/(d*d**0*d)*d)**8 assuming d is positive.\nAnswer: d**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*j**3*y*z**2 - 153*j**3*z**3 - 3*j**3*z**2 - j**2*z**3 - j*y*z**3 - 2*j*y*z**2 + 3*y*z**2 wrt z?\nAnswer: -918*j**3 - 6*j**2 - 6*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -5084823\/43 at most as big as -118252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 98*k - 25 = 95*k, 2*i = -24*k + 194 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from ddmmdd.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*n + 35*n = 11*n + 19 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(504) - -1*sqrt(504))\/(-4*sqrt(40)\/sqrt(5) + sqrt(8)) + 0.\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -2.7. Let z be (3\/(-12))\/((40 - 39)\/(-2 + -6)). Which is the closest to -0.1?  (a) x  (b) z  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:57 PM and 4:36 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 74*u**3 - 4*u**2 - 19*u - 92. Let p be n(-4). Is -4815 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -w + 1 - 1 + (0 - 3 + 2)*(4*w - 4*w - 2*w) + 4*w - 2*w + 123 - 125 to the form o + y*w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 + 6*o + 9. Let m be u(-4). Let s be (5\/m)\/((-4)\/204). Is (21\/9)\/((-5)\/s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 183*y**2. Let v(k) = -62*k - 6. Determine v(w(a)).\nAnswer: -11346*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + 14*r**2 + 16*r + 9. Let a be m(-13). Find the common denominator of (a\/(-63))\/(1*(-4)\/57) and 1195\/210 + 4\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2*i**2 - 28*i - 6. Let k be z(-6). What is the highest common divisor of k and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -110*o + 109*o + 39. Let m = o - 12. Calculate the remainder when m is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13763743.\nAnswer: 7, 67, 29347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 3*u = 10. Let m be (-4)\/5*495\/u. Suppose 16 + 2 = p. What is the highest common divisor of p and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 10*v + 11. Calculate a(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 AM and 2:18 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 16 = 2*m, 0*m = 3*q - 2*m + 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -15464, -15404, -15246, -14942, -14444, -13704?\n\"Answer: 8*g**3 + g**2 + g - 15474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 167.601 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/192)\/(1\/6).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*g - 63 = -13*g. Let b(w) = -4*w**2 + 4*w + 4. Let n(s) = 5*s**2 - 5*s - 5. Let p(z) = g*n(z) - 4*b(z). Calculate p(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3311*t**3 + 796236*t**2 - 796236*t**2)*(3 - 1 + 0).\nAnswer: 6622*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 4:42 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.2 - -3. What is the biggest value in -1\/2, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, -1.2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22603 is divided by 685?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*g**2 + 3*g**2 - 7*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {i: 3, w: 1, j: 1, p: 1, s: 4, c: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 + 4*g**2 + 2*g - 1. Suppose t - 3*z = -7, 0*t - t + 2*z = 6. Let i be o(t). What are the prime factors of (2\/3)\/((-2)\/i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 229 - 39\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500) - 3*(sqrt(500) + sqrt(500)*1 - sqrt(500) - sqrt(500)))\/(sqrt(640) + 5*sqrt(640) - sqrt(640)) + 5 + -2.\nAnswer: sqrt(2)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 16*g**3 + 3*g**2 + 3*g - 3. Let h(s) = 16*s**3 + 4*s**2 + 4*s - 4. Calculate -3*h(j) + 4*o(j).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 28\/3 of a week?\nAnswer: 1568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wmwmwwm.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 955427 is divided by 578?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8.78 - -9. Let w = -1.22 + r. What is the third biggest value in w, 0.2, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*6*((2 + sqrt(325) + 3)**2 + sqrt(325) - ((sqrt(325)*-1 + sqrt(325))*-6 + sqrt(325)) - ((-2 + sqrt(325))*-6 - (1*sqrt(325) + -1)**2)).\nAnswer: 1680*sqrt(13) + 15936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53518*a + 53549*a = 217 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of -v**5\/30 - 7*v**3\/3 - 5. Let q(i) be the third derivative of l(i). Let u(z) = -2*z**2. Give u(q(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 + 809)*3\/2. Suppose 9*b = 4*b + j. List the prime factors of b\/4 + (-23)\/(-92).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -6*q**2 + 1507*q - 760*q - 747*q. Let s(n) = -7*n. Let w(b) = 3*b. Let a(o) = -6*s(o) - 15*w(o). Give j(a(d)).\nAnswer: -54*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 - 53*n + 69*n)*(-n**4 + 2*n - 2*n).\nAnswer: -16*n**5 - n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-8) + (-98463)\/(-92). Let j = s - -297. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 250705 and 2470.\nAnswer: 501410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12375 and 1122825?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/8, -0.1, -6.24?\nAnswer: -6.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:18 AM and 9:27 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 4*i**2 + 3*i - 3. Let q(s) = 2*s**2 + 2*s + 7. Let r(o) = 21*o**2 + 22*o + 78. Let x(a) = 11*q(a) - r(a). Give -m(w) + 5*x(w).\nAnswer: w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.915389 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15310054 is divided by 15310047.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 - 4*s + 7. What is d(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -201.768 - 9.572. Round w to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyt when three letters picked without replacement from uttutututytuyuuttt?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*l = -8*l - 55322. Let r = l + -379661. What is r rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -17*v + 2. Let n be g(-2). Suppose 2*h + 4*c = 5*c + 211, 329 = 3*h + c. What is the greatest common divisor of h and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 15*g. Let j(k) = -104*k + 412. What is j(m(w))?\nAnswer: -1560*w + 412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 10:20 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 1 + sqrt(85)\/(sqrt(20)\/sqrt(16)) + 2.\nAnswer: 5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 222140714 - 5?\nAnswer: 222140707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 52 + 0\/(6\/3). Suppose -5*n + 2*g = -q - 70, 0 = 4*g + 4. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -689 - -689. Is v smaller than 12\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8 + 3*(-4)\/3. What is the third derivative of -5*s**4 + 6*s**2 + 16*s**5 + 15*s**u - 10*s**4 wrt s?\nAnswer: 960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 3, 0.03, -3 in ascending order.\nAnswer: -3, 0.03, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*q = 12*q - 4, 4*v - 5*q + 24 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3748, -4836, -7640, -12970, -21636, -34448, -52216, -75750?\nAnswer: -105860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f + 22681 = -420 - 18596. List the prime factors of f.\nAnswer: 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 9*n**2. Let c(b) = -633*b**2. What is c(x(v))?\nAnswer: -51273*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17*k*q**3*t**2 + 2*k*q**3 - 2*k*q*t**2 + 2*k*t**2 + 4*q**3*t**2 - 289*q**2*t**2 wrt q?\nAnswer: -102*k*t**2 + 12*k + 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o**4 - 4*o**4 + 2*o**4)*(2*o + o - 4*o) + (-87 - 87 + 170)*(o**5 - 2*o**5 + 2*o**5).\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -7, -1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -529 times -15343\nAnswer: 8116447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1562*v**2 + 11687*v + 49979635 wrt v?\nAnswer: 3124*v + 11687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i**2 + 8*i - 5. Let t(h) = 23*h - 4 - 2*h**2 - 4*h**2 - 10. Let n = 71 + -114. Let a = -26 - n. What is a*c(l) - 6*t(l)?\nAnswer: 2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -2 - -2) + 1 + -4 + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5 + ((1*sqrt(220)*-2)\/((-1*sqrt(55))\/sqrt(11))*-3)**2.\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of 0*b + 1\/4*b**4 + 1\/6*b**6 - b**3 + 1 - b**2 + 3\/5*b**5. Suppose n(m) = 0. Calculate m.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {f: 3, q: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 75 = -3*k - 5*z, 0 = 4*k - z - 95. Let h(b) = -4*b + 4*b**2 + 2*b**2 + b. What is the remainder when h(3) is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2804.7 less than 11329?\nAnswer: 14133.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9449 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 - 2*r + 437. Let x be i(0). Let b be -13 + x - (1 - 2). Suppose -4*y - y = -b. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.052 minus 140.8854?\nAnswer: -140.8334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 47594 = -4*c, -10*a + 23806 = 2*c - 11*a. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/21)\/((-24)\/63)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 - 4*r - 19. Let j be d(7). Let x be (1*j)\/(27\/1053). Suppose 3*b - 5*t = 654, b - 141 - x = 2*t. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 114*u + 166. Let j(f) = 5. Let o(v) = -10*j(v) + y(v). Differentiate o(l) wrt l.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*w**3 + 5*w**3 - 5*w**3 + 4*w**2 + 2*w**2 + 6*w**2.\nAnswer: 13*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -13 + (488 - (16 + -15)) is divided by 161.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 514, 515, 518, 523, 530?\n\"Answer: h**2 - 2*h + 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76482549 is divided by 58.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the third derivative of 5*r**4\/12 - 771*r**2. Let a(q) = -14*q**2. What is a(h(c))?\nAnswer: -1400*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -32\/3, -3\/5, -19\/16, 1\/2 in descending order.\nAnswer: 1\/2, -3\/5, -19\/16, -5, -32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 6 = 3*h - 0*h, 5*h = 10. Solve v = 4*a + p - 2, -2*a = -6*a + 4*p - 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17811 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -5 - -272143073.6171\nAnswer: 272143068.6171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 47381 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/4 - 21\/3150*-85.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 - -10. Let r be 8 + (-6 - -3) - n. Let t(q) = q**3 - 4*q**2 + 3*q - 6. Let i be t(r). Solve -4*l - 9 = -c - 2*l, 3*l + i = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16532109 divided by 1683.\nAnswer: 9823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 19, h: 1}. Give prob of picking 1 h and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qcvf when four letters picked without replacement from {c: 2, n: 2, q: 8, v: 2, f: 3}.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2018119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*v = -7*v + 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1783 + 3665. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 221398001, 442796001, 664194003, 885592007, 1106990013?\nAnswer: 1328388021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 4*w - 15957 = 0, 27*z + 15936 = 32*z + 3*w. Suppose 5*p = -3*d + z, -3*p + 4*d + 1921 = 2*d. What are the prime factors of p?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -726.267 - -726.1. What is f rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2225742591?\nAnswer: 3, 23, 32257139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1231439 rounded to the nearest 10000?\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7338465?\nAnswer: 3, 5, 19, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 116 = -3*r. Let u be 5*(84\/(-30) + 4) - -49. Let i = r + u. What is the remainder when 73 is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(2\/23)*u**(-6\/5) assuming u is positive.\nAnswer: u**(-128\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -2518972 at least as big as -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -1104*c + 48145. What are the prime factors of m(0)?\nAnswer: 5, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 92172 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 2991644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**0*s)\/(s\/s**(1\/5)*s))**(-2\/51)*((s*s*s**(-4)*s)\/(s\/(s\/(s**(-5)*s))))**35 assuming s is positive.\nAnswer: s**(26773\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 43 + -30. Let d(z) = z - 1. Let x be d(k). Suppose -n + x = 4*a, -3*a = 2 - 11. Sort -3, n, -1 in decreasing order.\nAnswer: n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 37 - 27. Suppose -g = -6*g + o. Suppose 45 = 5*i - 3*a, -i + 4*a = -g*i + 32. Calculate the remainder when i is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -504081*j**2 + 6*j + 11. Let o be s(-7). What is o rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hiv when three letters picked without replacement from vrirrhrcr.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.68 and 0.2.\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 34349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-507)\/338)\/(18\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 8\/32 + ((-116)\/(-48) - 2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 1 - ((-21 - 3) + 15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + (-51)\/(-9) - 20\/30. Let a be j*5\/6 - (-3)\/(-18). Is 4 - a\/((-4)\/625) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3250 - -3220.39. What is k rounded to 0 dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**2 - 31*r - 166. Let h be f(-24). Factor -1 + 0*u**h - 1\/2*u**3 + 3\/2*u.\nAnswer: -(u - 1)**2*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 448 and 327936.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5 - -4)\/(((-3)\/(-4))\/(-3)). Suppose 637 = v*x - 11631. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = 3*l - 3*b - 26, 0 = 5*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -2870, 3 in decreasing order.\nAnswer: 3, 0.1, -2870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21*h**3*w**2 + 257007*h**3 + 767*h**2*w**2 - 2*h**2*w - 3*h - 36*w**2 + 6 wrt h?\nAnswer: -126*w**2 + 1542042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of u**5\/60 + u**4\/24 - u**3\/6 - u**2. Does 15 divide j(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -7*v**2 - 2*v - 9. Let j(r) be the third derivative of -r**5\/20 - r**4\/24 - 2*r**3\/3 - 3*r**2. Calculate -5*j(c) + 2*w(c).\nAnswer: c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(475) - (sqrt(95)\/sqrt(5) + -3 - sqrt(19)))**2.\nAnswer: 60*sqrt(19) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/7, 0.2, -29\/5, 5.2, 2, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(1501\/570 + 4\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -5*x - 1. Suppose 0 = -4*n - 4*y + x*y - 12, 5*n = 3*y + 7. Let s be 1 + 6 + 2\/n. Sort s, -4, 1 in descending order.\nAnswer: s, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 60812, 121952, 183492, 245438, 307796?\nAnswer: 370572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((-2 + sqrt(684) - sqrt(684)) + 0))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b66 (base 12) to base 16\nAnswer: 67e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 199 - 147*x + 198 - 592 + 195.\nAnswer: -147*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 4*u = 36, 220*z = 221*z - 2*u + 6. Which is the second smallest value?  (a) 0.4  (b) -73  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 28?  (a) 5.8  (b) 2\/5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*s**3 + 3*s**4 - 3*s**2 + s + 1 - s**4 + 4*s**3 + 0*s**2 as l*s + j*s**2 + p*s**3 + h + i*s**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -48.946 - 0.054. Let p = -27.1 - r. Let h = 22 - p. What is the biggest value in 0.3, h, -0.06?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 5*z + 1. Let m be 0 + 33\/15 + z. Which is the closest to 0?  (a) m  (b) -1  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times 3602\nAnswer: -18010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -442*a = -437*a + 5*l + 10, l + 1 = -2*a. Let w(m) = -47*m + 3. Let g(f) = 1. Determine a*w(s) - 5*g(s).\nAnswer: -47*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**2 + o**2 + 0*o**2 + (-7*o + 3*o + 3*o)*(-6*o + 0*o + 2*o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -194*o + 196*o + 15508 = 5*s, -2*o + 15492 = 5*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-96)\/(-1680))\/((-6)\/15).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4*i - 144 = 1426, 5*h - 3943 = 4*i. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 866004.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 331012 (base 4) to base 7.\nAnswer: 14254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*g + 65 = -187 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -201001100110 (base 3) to base 4.\nAnswer: -1123202301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2 - 22*t + 76. Let g be o(-25). Which is the closest to 2\/3?  (a) -0.11  (b) -6  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -0*c + 2*c. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 304 + -207. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 + 183.763.\nAnswer: 183.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 + 5*p**2 + p + 7. Let t be y(-5). Calculate the highest common divisor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11030141004 - 2?\nAnswer: -11030141011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 - 11*b**2 - 48*b + 1. Let f be i(-3). Sort -3, f, 23 in decreasing order.\nAnswer: 23, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 + 1)*(1 + 3*w - 1)*(-2 + 0 + 5) in the form p*w + q and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/4)\/r*r)\/(r**5*r)*(r**1\/r)\/r**4*r*r**4*r\/(r*r**1)*(r*r**1\/r)**50 assuming r is positive.\nAnswer: r**(177\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -4076, -32606, -110038, -260822, -509408?\n\"Answer: -4075*p**3 - p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 + -4 - 1)*0*(-13)\/(-39). Solve -5*k - 3*o = -20, -5*k - 5*o + 30 + 0 = s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.54898 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 1 - 3 = -2*z, 18*b + b - 5*z = 31 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 PM and 9:55 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*x**2 + 6*x**2 + 5*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/12*48\/2. What are the prime factors of (-3 - -1)*(-150)\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3188614.59262 + -3189119.6. Let t = -505 - r. What is t rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 1\/7  (b) -0.2  (c) -1\/181  (d) 2\/9  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21*d**5*s - 108*d**5 - 147*d*s + 7*d + s - 2 wrt d.\nAnswer: -420*d**3*s - 2160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 324605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 622*s + 147*s - 8217*s + 3815*s.\nAnswer: -3633*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + -110312?\nAnswer: -110323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/242 and -42\/52307.\nAnswer: 12658294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 AM and 5:47 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 796 and 231930719?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26869, -26870, -26871, -26872?\nAnswer: -26873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2539207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26432 and 31808?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -166.7 - -167. Put 0.5, -45, g in descending order.\nAnswer: 0.5, g, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -293979, -588068, -882139, -1176186, -1470203, -1764184, -2058123?\nAnswer: -2352014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, b: 2, k: 4, c: 2}. What is prob of picking 1 b and 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 5*n - 5, -3*l + 21 = -0*n + 5*n. Let p be 3\/l*20\/6. Suppose -5*o = -p - 35. Solve -3*v + o = -7*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 26\/1779 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**30*q\/((q*(q*q**(-5)*q)\/q*q)\/q) assuming q is positive.\nAnswer: q**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -111 - -104. Let c be d - -1 - (20 - 29). Solve -15 = 2*y + 5*x, -2*y = y + c*x + 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 5*j - 1, -j + 4*j = -4*n + 7. Solve 4*l - 11 = n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (-6 - (2 + -39))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -30*k - 466. Let r(h) = 3*h**2 + 13*h + 34. Is r(k) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12809 - -12821. Let o(i) = -i**2 - 9*i - 5. Let m be o(-7). Suppose 83 + m = 4*v. Calculate the remainder when v is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 192.239 - 0.239. Let j = 221 - l. What is the third biggest value in -3, j, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 - 6*a**2 + 4*a - 15. Let m be z(-7). Let r be (13\/m + -2)*(-19)\/(-152). Are r and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-572)\/140 + 4 + 7 + (-329)\/49. Which is the fourth biggest value?  (a) -2  (b) -28  (c) -5  (d) -44  (e) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -65\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -3*r + 22. Calculate the greatest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from affmzzz. What is prob of sequence am?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**3\/i**(-2\/7)*i*i\/(i\/(i\/i**(3\/5)*i))*i*i**(4\/3)*(i\/(i*i\/(i*i*i*i**(2\/9)))*i)\/(i**2\/i)*i**(1\/2)\/(i\/i**(2\/11)) assuming i is positive.\nAnswer: i**(68767\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide (-12 - (-12564)\/6) + -12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -658700 to the nearest ten thousand.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-7)*14\/6. Suppose -3*f - 2*f + 40 = 0. Let i = 13 - f. Put -0.3, o, i in ascending order.\nAnswer: -0.3, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3795.2443 + -3795. Round k to two decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 - 8. Let a = -15 + 24. Let k = a - 5. Solve y*x + 5 = k*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87 + 15*g**3 + 242*g**2 - 87 - 253*g**2.\nAnswer: 15*g**3 - 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3 + p**2 - 2 + 3 wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = f, 4*i - 2*i + 0*f = 5*f - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/33 - 50\/(-88). What is the second smallest value in s, 5, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(468)*-2)**2.\nAnswer: 3744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7246*s**3 + 9786 + 5*s**2 - 9786.\nAnswer: 7246*s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 810823024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002578 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 PM and 3:23 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1383 plus -8?\nAnswer: -7.8617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 21622541 (base 7) to base 5\nAnswer: 434340324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = -3*h + 31 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28216 - 7706 - 35999 + 9018)*(-q + 0*q - q).\nAnswer: 125806*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-3 - -7 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -122030 - -11231003?\nAnswer: 11102313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 5854, 10857, 15860?\n\"Answer: 5003*l + 851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16\/215 + -11491\/1290. Find the common denominator of 1\/528 and y.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - -7 - (0 - -3). Suppose 5*x + 0*k = -j*k + 31500012, 0 = 5*x + 3*k - 31500009. What is x rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -5*b + 5*k + 57, -2*k + 110 = 5*b. Let x = 17 + -15. Suppose n = -g + 53, -x*g + 5*g = 3*n - 183. What is the remainder when n is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 838, 3240, 7214, 12754, 19854?\n\"Answer: -p**3 + 792*p**2 + 33*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1221?  (a) -0.1  (b) 0.23  (c) 3  (d) 10  (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (42\/(-8))\/(-10 - 717\/(-72)). Let f be (-28)\/p - (-1 - 951\/27). What is the greatest common divisor of 1188 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = m + 5. Let j(l) = l - 1. Let a be j(-1). Let b = a - m. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.044 and 13.2309.\nAnswer: -0.5821596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, 1, -1685 in increasing order.\nAnswer: -1685, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/7*g**4 + 144\/7*g**2 + 0 + 192\/7*g - 45\/7*g**3.\nAnswer: 3*g*(g - 8)**2*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 3:44 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 803 + -693. Suppose -299 = -9*k - g. Solve 0 = -5*c - 0*o - 2*o + 5, 2*c = 3*o + k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -92*m + 945*m**2 + 281*m - 90*m - 98*m in the form d + t*m + j*m**2 and give j.\nAnswer: 945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 - 12*l - 27. Determine c(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2377353.\nAnswer: 3, 11, 61, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 + (-22)\/14 + 5459602\/161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 - 17. Let o be -3*(-8)\/(-3)*s. What is the second derivative of o*l**2 - 11*l - 2 + 2 wrt l?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by -640.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -292 + 562. Suppose -6*a + 10*a = -b + o, 3*b + 2*a - 760 = 0. Is 50 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9629 + -5488. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 75 + -376\/5. Let i = 0 - m. Which is the third biggest value?  (a) -1\/3  (b) i  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (-7 - 6) + -46 + 56\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.00035886197 rounded to 5 dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 3*i + 414, -3*i - 556 = -4*d - 0*d. Let h(j) = 8*j**2 - j + 5. Let g be h(6). Let u = g - d. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 1741*n. Let o(p) = 50*p**2 + 3*p + 3. Let q(r) = -17*r**2 - r - 1. Let u(d) = o(d) + 3*q(d). Determine u(w(f)).\nAnswer: -3031081*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -52 + 108. Let j = 8 - 2. Let p be j\/8 - 87\/(-12). What is the greatest common divisor of p and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -5*d - 26, 2*d = f - 2*d - 4. Let p be (-4)\/(-6)*(f - (0 - -2)). Let k(s) = 3*s - 2. Determine k(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 365*i + 12276 = -319*i + 2*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 52848 and 54?\nAnswer: 158544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 18 = -0*m. Let n = -29 - -31. Solve i - m = -n*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 32 and 56936608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 651 + -651.3. Let m = 14 + -19. Suppose 4*f + 2 = 6. What is the closest to f in 0.5, t, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 2*h + a - 29, -3*h + 16 = 2*a. Let x(f) = 2*f + 4. Let m be x(-5). Let b = 13 + m. Which is bigger: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36, 127, 280, 495, 772, 1111?\nAnswer: 1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6168541 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*f**2 + 2*f**2 + 5*f**2)*(-38 + 1 - 3)*(-9 + 2*f + 1 - 5) as g*f**2 + a*f + u + j*f**3 and give g.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -54 - -52. List the prime factors of (363\/6 - -3)\/(n\/(-4)).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 6. Suppose 30*n - 27*n - 5*m = 2389, 0 = 5*n + 3*m - 3959. Suppose p = 15*v - n - 2237. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 (base 9) in base 5?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.9445313 to two dps.\nAnswer: -6.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 412654511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (53\/212)\/((270\/120)\/(15\/(-2)))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.3636 - -0.0536. Let x = 0.79 - v. What is x rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of 41*s**4\/24 + 68*s**3\/3 - 81*s**2. Let u be o(-3). Solve -2*t - u + 5 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/4*(9 + -11). Which is the closest to -2\/5?  (a) 2\/3  (b) q  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -n - 2*j, 4*n - 5*j = n + 44. Let x(p) = -p + 2. Let g be x(0). What is the remainder when g*(57\/6 + 3) is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -45563 * -3\nAnswer: 136689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-108))\/((-6)\/153)\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 34\/90 - (-6)\/(-10). Suppose 5*y + 37 = -2*j, -3*y = 3*j - y + 28. Let m be (-2)\/16 + (-3)\/j. Which is the third smallest value?  (a) h  (b) m  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -7  (b) 28\/9  (c) -4  (d) 1\/5  (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10 and -580?\nAnswer: 5800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 4836.5588 to 0 dps.\nAnswer: 4837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11 - 390*o**2 - 2*o**4 + 390*o**2 wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**15)**(10\/11) assuming k is positive.\nAnswer: k**(150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 16) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6459032 and 176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -2, 0.03, 1\/16, 0.1, 8, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1991809)\/(-29) + 2*6\/(-174) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -12, -54, -126, -228, -360, -522, -714?\n\"Answer: -15*j**2 + 3*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 579744 divided by -36234.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 3*m - 9 = 0, u + 2*m - 14 = -0. Suppose -233 = -4*q + 51. What is the remainder when q is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.38 + 1.197. Let g = a - 0.817105. What is g rounded to six decimal places?\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - -1 - (9 + -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f*f**0*f))\/(f\/(f**(-4)\/f*f)))**(1\/8) assuming f is positive.\nAnswer: f**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9167?\nAnswer: 89, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.09  (b) -2\/5  (c) 3  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(2448) + -2 - (-1*sqrt(2448) + -2) - (sqrt(2448) + -1 + -3 - 4*(sqrt(2448) + 0)))*4)**2.\nAnswer: 5760*sqrt(17) + 979344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20839)\/(-2748)*(-3)\/(-21) + (-4)\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.62325 - -1380.88325. What is i rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 4 = -w, 4*w + 4*y - 20 = -4. Suppose -w*g + 171 + 93 = 0. Let x = g + -39. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - p - 62 + 5 = 0, q - 5*p - 21 = 0. Suppose 6*n + 19 = 3*m + 8*n, n = -2*m + q. Solve -m*a - 6 = 0, 2*c + a - 2*a = 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 45 divided by 2\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 211532?\nAnswer: 2, 52883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + k = 2 - 3, -9 = -2*v - 5*k. Let a(n) = 14*n - 7. Let b be a(v). Suppose -9 = 5*q + b. What is the closest to 2 in -1\/2, q, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115250509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3d0a (base 14) to base 3\nAnswer: 112210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r + 1255 - 222 = -11. Calculate the remainder when 213 is divided by r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 - 51*p**2 + 5122*p - 64805. Give y(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 5 = 3*o, -2*o + 7*o = -2*q + 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1430)\/60)\/((-1)\/6). Let d = w - 163. Which is greater: d or -75\/4?\nAnswer: -75\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3315 by -1105.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*f - 6*f + 4*t + 158, 0 = 2*f + 3*t + 306. What is f rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -339 + 346 - ((0 - -1) + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 2093170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9759, -19518, -29277, -39036?\nAnswer: -48795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -111 divided by -24038.\nAnswer: 111\/24038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**2 - 10*l + 12. Let o be f(-11). Let v(p) = 2*p**2 - 4*p - p**3 + 0*p**3 + o + 1 + 1. Determine v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - r + 0*r)*(9*r + 4 - 4)*(-1 + 8 - 3).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = a - 45, -2*q - 4*a = a - 75. Suppose -2*u = 4*f - q, -3*f - 2*u = -46 + 6. Solve 5*z + f = 2*n, 9 - 3 = -3*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19568887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8466 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -435 + 654. Is g at most 219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 35 - 42.1. Let t = i - -2.1. Suppose 10*v + 3*k + 2 = 12*v, 5*v + 4*k = 5. Which is the closest to 0?  (a) 0.5  (b) v  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 43305, 173323, 390013, 693369, 1083385?\n\"Answer: -t**3 + 43342*t**2 - t - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 - 9*r**2 - 8*r - 14. Suppose 12 + 18 = 3*z. Let k be l(z). Solve o = -4*m, -2*m = -k*m + o - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -22*z**3 - 3*z**2 - 2*z + 3. Let l(m) = m**2 + m - 1. Calculate 3*l(c) + v(c).\nAnswer: -22*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**2 + 2*b. Let g be n(-7). Let z = 43 - g. Calculate the least common multiple of z and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*t - 329 = -353 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -43*t. Let z(v) = -296*v**2 + 10. Determine q(z(u)).\nAnswer: 12728*u**2 - 430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 33 - 138. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -23*z**3 - 3*z**2 + z + 7. Is s(-3) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 69 + -69.058. Let d = s - -0.358. Sort d, 3, -3\/8, -5 in increasing order.\nAnswer: -5, -3\/8, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 291993 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - c - 214 = -205, 0 = 3*i + c - 11. Solve 32 + 0 = -i*g - 3*x, -13 = 5*g - 3*x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 120100100120110 (base 3) to base 7.\nAnswer: 126215445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/(-4))\/1*-36. Let n be (1 + -28)*7\/(-21). Suppose -n*t = -8*t - j. Calculate the highest common factor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 822 divide 54338310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 5*b**2 + 17*b. Let h(f) = 2*f**2 + 2*f + 0*f**2 - 3*f. Let y(d) = -d**2 - d. Let o(j) = h(j) + 3*y(j). What is -9*o(m) - 2*v(m)?\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 349*c**5*s**2 + c**4*s**2 + 44*c*s**2 - 1 wrt c?\nAnswer: 6980*c**3*s**2 + 12*c**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i - 5. Let m be w(-5). Is 1\/42 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 982.8817 millilitres in litres?\nAnswer: 0.9828817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 15*d**5 - 21*d**4 + d**3 + 5*d**2 - 4*d + 4. Let c(u) = 15*u**5 - 20*u**4 + 5*u**2 - 5*u + 5. Let z(j) = -4*c(j) + 5*s(j). What is g in z(g) = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 223556670 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 4*j - 32. Suppose -3*r + 71 - 899 = 4*h, -3*r - 5*h = 831. Let m be r\/(-20) + 8\/20. What are the prime factors of u(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**5 + 42032*q**4 + 1177484*q**3 + 8243760*q**2.\nAnswer: -q**2*(q - 42060)*(q + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3201, 6448, 9729, 13050, 16417, 19836?\nAnswer: 23313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f**3 - 37 + 44*f + 146 - 57 + 10*f - 51 to the form q*f**2 + i*f**3 + b*f + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8095 is divided by 7603?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1203692844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -14202800 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of -r**6\/5 - 1369*r**5\/10 - 26068*r**4 - 17328*r**3 - 23*r - 4. Factor s(h).\nAnswer: -2*h*(h + 228)**2*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 + -17. Suppose -a*l = -10*l. Suppose l*i - 5*c - 45 = -4*i, 0 = 4*i - 2*c - 30. Calculate the least common multiple of i and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2\/3))**(-5\/4))**(1\/5)*(r**(-3)\/(r*r**4))**(-18\/7) assuming r is positive.\nAnswer: r**(871\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 220668053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70809 is divided by 69867?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1293*p - 2*p**2 - 254040*p**3 - 1 - 109*p + 254041*p**3)*(-7 + 7 - p).\nAnswer: -p**4 + 2*p**3 + 1402*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7403 or -7531?\nAnswer: -7403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -16740 (base 8) in base 12?\nAnswer: -4514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -251281500*w**4 + 170243172 with respect to w.\nAnswer: -1005126000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 604 = -5*h - 4*s + 113, -3*h - 293 = 4*s. Let g = 199 - h. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -0.5, 2\/7, 56, -1\/14, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of 1\/2*u**2 + 3 - 1\/120*u**5 + 0*u**4 + 0*u**3 + 0*u. Let h(n) be the second derivative of c(n). Let h(b) = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 43 + -39.7. Let k = b + 2.7. Which is smaller: k or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-662)\/(-4) - (-20)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320) - (-2 + sqrt(320)))**2*-2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25 + -21. Solve -3*x - 2 - g = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 9000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 9947, 19154, 28347, 37526, 46691, 55842?\n\"Answer: -7*q**2 + 9228*q + 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.14 - -7.14. Let h = p - 6.72. Let l = h - 0.2712. Round l to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*x**2 + 1191*x**2 - 207*x**2 + 877*x**2 - 14.\nAnswer: 1849*x**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1, 117843, 6 in decreasing order.\nAnswer: 117843, 6, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 29265 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 36*l**4 - 42 + 33 - 2*l + 2*l wrt l?\nAnswer: 144*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/4  (b) -10  (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.322569688 to four dps.\nAnswer: 1.3226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m**3 + 2*m**2 + 3*m. Let p(d) = -d**3 + d + 1. Let l(k) = p(k) - w(k). Let v be l(2). Let g = 0.02 + 0.48. Put g, 0.6, v in descending order.\nAnswer: 0.6, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25, -63, -101, -139, -177, -215?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -624 = 8*z - 10*z. Suppose z = 4*c - 4*s, -376 = -4*c - s - 69. What is the highest common divisor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6420381851?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 39324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -269  (b) 1\/80  (c) 5  (d) -13\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13430425 at most 13430428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 72666 and 2904.\nAnswer: 3197304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 17 - 5*r**2 - 3*r**2 + 4 as m*r + y + i*r**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -628*s + 584*s + 4*g + 104, 80 = 5*s - 5*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-40)\/3)\/((-4)\/18). Let u = 601\/10 - v. Suppose 3*p = -0*p. Is u >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**0)**(-2\/63))**(-4) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 0 - 1)*(-2*v - 1 + 1) - v - 4*v + 2*v)*(6 + 13 + 4).\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 312\/208 + (0 - (-2)\/4). What is the second derivative of -51*o**2 + 9*o**5 - 7*o**5 - 99*o + 14*o**3 + 51*o**l wrt o?\nAnswer: 40*o**3 + 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 0*h + g - 59, 0 = 3*h - 5*g + 187. Let c = 70 + 15. Let n = h + c. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122 is divided by 57.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s = 11*s - 2960. List the prime factors of s.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 3*l - 45, -y - 4*y - 2*l + 84 = 0. Let n be (y\/4)\/(3\/(-4)). Let v(z) = -z**3 - 7*z**2 - 8*z - 8. Calculate v(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 4*a + 19. Let r be p(8). Calculate the highest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 19 = -4*j - j, -3*j - 12 = 0. Is c less than 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**14\/s*s**(-8\/7)\/s)\/((s**1\/s)\/s*s)**23 assuming s is positive.\nAnswer: s**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27360 and 6768.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bvvbbbbb. What is prob of picking 3 b?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 2*m**5\/3 - 406*m**4\/3 + 15058*m**3\/3 - 19394*m**2\/3 - 431380*m + 1227600 = 0.\nAnswer: -9, 3, 10, 44, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1029 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -189.11 + 189. Which is the closest to -1?  (a) 2  (b) x  (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/(-2))\/((-17)\/(-51)). Let x(o) = -4*o - 10. Let g be x(l). Solve 0*u**3 + 0*u**2 + 3*u**g + u**3 - 4*u**3 = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8232294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -18936465\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 15 = 6*r, -9 = 2*r - 21*q + 24*q. Let w be ((-8)\/(-14))\/(2\/7). Let a = 0 + w. Solve r = a*o + 4 + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 - 3*s**2 + 5*s + 6. Let i be q(-4). Suppose -4*d = 3*a - 58, 2*a - 3*a = -i*d - 6. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69 + 69 - 12*y**2 + 4*y.\nAnswer: -12*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -15*r**4\/2 - 113*r**3\/3 - r**2\/2 + 5*r\/3 = 0.\nAnswer: -5, -2\/9, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 205225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 + 8*w**2 - 4*w + 3. Calculate l(-9).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/381 and 11\/208929.\nAnswer: 26533983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2257 + 2929. Calculate the greatest common divisor of q and 288.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 84283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (u**2 + 3*u**2 - 2*u**2)*(3*u - 2*u - 3*u) + 58*u**3 - 433*u**2 + 433*u**2 to the form q*u**2 + j + r*u + s*u**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 6*u = 24. Let c be u\/54 - 87\/(-27). Let g = 17 - c. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -469 divided by -6?\nAnswer: 469\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6 - 42\/(-12))\/(-5))\/(5\/46).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 4*r + 111. Give f(-15).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 2*y = -14, 17*u - y = 21*u + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19 - -14. What is the closest to c in 1\/5, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v - 9. Let b be z(3). Suppose 0 = -k - 3*p + 24, -k = 4*p + p - 30. Let c be k\/10*(-4)\/b. What is the smallest value in c, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d - 97 = -8*d - 4*j, 5*d - 434 = -3*j. Calculate the remainder when 405 is divided by d.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 5*o = a, 3*o = 5*a - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l\/(((l\/l**1*l*l)\/l)\/l)*l)**(1\/13)\/(l**7\/(l**(2\/3)*l)))\/((l**2\/((l**(-4)*l*l)\/l*l))\/((l\/(l\/(l\/l**(3\/8))))\/l*l**(2\/9)\/l*l)) assuming l is positive.\nAnswer: l**(-8663\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 2*g + 686 = -4*a, 2*g + 4 = 0. Let r = a - -83. Let w = -39 - r. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 21  (b) 2  (c) 19  (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -10*x. Let t be l(1). Let y be 158\/(-14) - t\/35. Let s = y - -22. Calculate the smallest common multiple of s and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -22*c**3 + 12*c - 12. Let x(i) = -9*i**3 + 5*i - 5. Let t be 1\/((2 - 4) + 3). Suppose 5*m = 5*g + 75, m - 2 - t = 0. What is g*x(n) + 5*l(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 0. Let n = 84 + -109. Let x = n - -22. Put -2\/9, x, f in decreasing order.\nAnswer: -2\/9, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 0*h**2 + 72 + 16*h - 114 - h**2. What is the smallest common multiple of 168 and i(12)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.33 - -5.93. What is d rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 158656, 317308, 475948, 634570, 793168, 951736, 1110268?\n\"Answer: -r**3 + 158659*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -33 - -22. Let i = 16 + r. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 - 4) + -118 + 118\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140 is divided by 64?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.557714 milligrams?\nAnswer: 0.000000000557714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1032*b - 1956*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hh when two letters picked without replacement from nfhhhqffhf?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 28*l**4 - 14*l**2 - 6*l - 637. Let a(w) = 82*w**4 - 46*w**2 - 20*w - 1912. Let v(u) = 6*a(u) - 20*s(u). Find the first derivative of v(g) wrt g.\nAnswer: -272*g**3 + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 6207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 45 - 4. Let k = -22 + m. Let w(n) = -21*n**2 + n - n + k*n**2. Let b(a) = 4*a. What is b(w(c))?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 129 divided by 6094\nAnswer: 129\/6094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - 40?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(3\/7)*w*w*w*w*w*w*w*w**(-1\/10)*w*w)\/((w\/(w*w**5))\/(w\/((w*(w*w**6)\/w*w)\/w)))*(w**(1\/2)\/w**(-6))**(2\/61) assuming w is positive.\nAnswer: w**(37083\/4270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence msme when four letters picked without replacement from {o: 1, e: 1, m: 2, q: 1, s: 1, p: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*u**2*v**2 - 2989*u**2*v + 257021*u**2 + 2*u*v**2 wrt v?\nAnswer: -12*u**2*v - 2989*u**2 + 4*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = 2*d - 2, 39 - 7 = -4*d + 5*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -1\/7  (b) -2\/37  (c) -2\/5  (d) -94\/9  (e) 5  (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6439 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10498 + 10498.059944. Let z = -0.06 + a. Round z to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 8, c: 2, u: 1, d: 1, i: 4}. What is prob of picking 2 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*r + 202111 = 22711. Find the common denominator of (351\/r)\/((-16)\/(-10)) and 121\/24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -98*y + 696. Give l(9).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**3 + 136955*o**2 - 136970*o - 273920.\nAnswer: 5*(o - 2)*(o + 1)*(o + 27392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35 + 112*h + 151*h + 138*h - 78*h + 32 to the form o + m*h and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -3*j + 94. Let h be s(29). Solve -h*k + 2*k + 25 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h + 33*h**2 - 1 - 54*h**3 - 31*h**2 - 4*h. What are the prime factors of g(-2)?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/1332 and 13\/2035?\nAnswer: 73260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 435 + -193. Let s = j + -226. Solve -s = a + 2*w + w, 2*w + 12 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5510868944?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3 + -11 + 7)\/(2\/4). Sort a, 4, -5, 36 in ascending order.\nAnswer: -5, a, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, u: 10, z: 6}. Give prob of picking 3 z.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 32*v**2 + 3*v + 175. Is y(30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9385739 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -87, 10, -2 in decreasing order.\nAnswer: 10, -2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2*v**2 - 23*v - 11. Determine s(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z = -n - 4*z + 14, -5*n + 3*z = -42. Solve b - n = -2*h - 1, 5*b = h + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 4*p**3 - 5*p**2 - 2*p. Let n be (0 - -44) + -13 + 12. Let s = 37 - n. Let v(b) = 5*b**3 - 6*b**2 - 3*b. Calculate s*o(a) + 5*v(a).\nAnswer: a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d + 5*l - 20, 16*l = 2*d + 15*l + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -66*f*h*u**2 + 100*f*h*u*y + 59487*f*h + 15*f*u*y - 57*u**2*y with respect to y.\nAnswer: 100*f*h*u + 15*f*u - 57*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -81, -198, -347, -528?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1557 + 133. What are the prime factors of (-12)\/(-102) - r\/34?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -2\/5, -16, 0.19, 1, 2.2 in decreasing order.\nAnswer: 6, 2.2, 1, 0.19, -2\/5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, -22, -24, -24?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -4 + 15 + -19 + 28. Suppose -26 = 7*y - i*y. Solve -y*p + 46 = 42 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 21\/2 of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 11*j**2 - 58*j + 37. Let i(y) = -5*y**2 + 25*y - 16. Let a(c) = 10*f(c) + 23*i(c). Let q(b) = 14*b**2 + 14*b - 6. What is 17*a(l) + 6*q(l)?\nAnswer: -l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 39*i. Let r be o(2). Suppose 6*n + 8 = 4*n. Let c be 51\/r + n\/26. Does 0 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 4, q: 3}. Give prob of sequence hqqq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 - 2*j**2 - 3*j - 2. Let h = 163 - 165. Give q(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 take away 46569145506335?\nAnswer: -46569145506340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of -11*q**4\/24 + q**3\/3 - 6*q**2. List the prime factors of k(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 259 times -18.17?\nAnswer: -4706.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (12 - 26) + 15 + 831 is divided by 83.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2717, 5761, 9135, 12839, 16873, 21237?\n\"Answer: 165*h**2 + 2549*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/8)\/(0 - 2\/8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1586882443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*n**5 - 6*n**4*w + 561*n**2*w - 68*n - 553*w wrt n?\nAnswer: 40*n**3 - 72*n**2*w + 1122*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -166 - -182. What is the greatest common factor of 408 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10111101001010011 (base 2) in base 3?\nAnswer: 11220212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100010 - 1011010110110010001101?\nAnswer: -1011010110110001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 487*u - 481*u - 48. Let i(p) = 5*p + 13. Let z(t) = t + 1. Let j(g) = i(g) - 6*z(g). Give j(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -205 + 208. Suppose 2*f + l*f = 250. Calculate the highest common divisor of 175 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*t + 6*t**2 - 9*t)*(-29*t + 27 + 61*t - 33*t).\nAnswer: -6*t**3 + 162*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13*(6 - 7)*957\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 157, 3, 224 in decreasing order.\nAnswer: 224, 157, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/((87\/6)\/(-29)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 10*h + 46. Let i be v(8). Calculate the greatest common factor of i and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(-9)*1*3. Let p be 3*2*w\/3. Let a = -16 - -11. Sort p, a, -3 in increasing order.\nAnswer: a, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hepmmmmhmhpmmzpmmz?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 427111 (base 11) to base 3.\nAnswer: 1021200210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1\/2*v**2 + 34322 + 262*v = 0. What is v?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**3 + 23439*r**2 + 70338*r + 46896.\nAnswer: -3*(r - 7816)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1.879 * -151029\nAnswer: -283783.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 606 is divided by 205?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -590*g**3 + 2*g - 1. Give t(1).\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86408519.\nAnswer: 86408519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 84\/13 - 633\/104. Let f = 2.4 + -2. Sort t, -3, f in descending order.\nAnswer: f, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 32*o - 14. Let g(z) = 11*z - 5. Determine 17*g(k) - 6*s(k).\nAnswer: -5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -3*a + 12. Give x(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 90 and 9165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -3*l + 8*l. Differentiate -5 + 3*r**4 - l*r**2 + 3*r**2 + r**2 wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2d4b - 188b?\nAnswer: 14a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 694405 is divided by 11022.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -64\/129 and -41\/24?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7533 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y + 128*y + 18*y - 4309228 = 0. List the prime factors of y.\nAnswer: 2, 17, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4426724, 8853421, 13280118, 17706815, 22133512?\n\"Answer: 4426697*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2402.5315 and 4?\nAnswer: -9610.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4\/3  (b) 2  (c) -4\/7  (d) -4  (e) 6  (f) 3  (g) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 557890301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*(-6)\/144*-6)\/((-36)\/156)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 153373648 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 > -24.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 1 = 2*j. Let d(a) = -a**3 - 3*a**2 + a. Let w(q) be the first derivative of 5\/3*q**3 + 0*q - 2 + 1\/2*q**4 - q**2. Give j*w(t) + 5*d(t).\nAnswer: t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 3*h = 10, 0 = -4*n + 5*h + 2 + 4. Let q(i) = -16 - 5 + 13 - 11*i + 32. Let t(k) = -k + 3. Let r(w) = q(w) - 6*t(w). Determine r(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13463 + 13859. Calculate the remainder when o is divided by 370.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1300214167 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -263*g + 69. Let r be o(15). Is (r\/342)\/(3\/(63\/(-2))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 0.2  (b) 8  (c) -1  (d) 3  (e) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12573847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/4)\/(752*31\/(-372))*(-4)\/3.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 962683.\nAnswer: 7701464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3884657911, -3884657909, -3884657905, -3884657899?\n\"Answer: a**2 - a - 3884657911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(3*sqrt(525))\/(sqrt(7) + (-1*sqrt(7) - sqrt(7))*-4).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -7*c**2. Let y(i) be the first derivative of -i**2 + 23*i - 600. Give n(y(h)).\nAnswer: -28*h**2 + 644*h - 3703","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 55*k - 56*k + 3*j + 13, 0 = 3*k + 57*j + 27 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 445 = 5*y, -3*l + 4*l - y + 149 = 0. Let v = l + 236. List the prime factors of v.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.1 + -1. Which is the third biggest value?  (a) t  (b) -1\/5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12980 divided by 118?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 90*p**4*y - 20780*p**4 - 15*p**2*y + 86*p*y - 124*y wrt p?\nAnswer: 2160*p*y - 498720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.04284171 rounded to 2 dps?\nAnswer: 32.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4062316026 to the nearest integer?\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 1 - 1. Let s(u) be the third derivative of -j*u**2 + 0*u**4 - 1\/30*u**5 + 0 + 1\/3*u**3 + 0*u. What is the first derivative of s(z) wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:34 PM and 12:51 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 minus 9812798352?\nAnswer: -9812798382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b - 362213?\nAnswer: -362222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 123896536*o*w*x**2 + 538*o*x**2 + o*x - 5*w*x**3 - 9*x**3 - 18*x**2 + 2*x wrt w?\nAnswer: 123896536*o*x**2 - 5*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 + k**2 + k + 1. Let z(y) = 8*y**3 - 7*y**2 - 7*y - 7. Let a(s) = -s + 42. Let i be a(0). Determine i*w(o) + 6*z(o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.11 + -5.11. Let f be -3 + (5 - 3) - (-5)\/6. Which is the closest to 0?  (a) -4\/3  (b) h  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4510670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of f**5\/20 + 15*f**4\/4 + 225*f**3\/2 + 3375*f**2\/2 + 2*f + 16. Factor x(s).\nAnswer: (s + 15)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -396277, -397430, -398583, -399736, -400889?\nAnswer: -402042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41511717 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 30 = 5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 56\/(-90) - 6\/(-15). Let y = 0.0177 + 3.8073. Let r = y - -0.175. Sort r, q, -3 in descending order.\nAnswer: r, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xluxxexqqxleeuql. Give prob of sequence xu.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (37 - (-335 + 381)) + (0 - -1) + 0 + -23?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -1215*w**3 - 3981*w**2\/2 - 723*w + 105\/2 = 0?\nAnswer: -1, -7\/10, 5\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-258)\/9)\/(2\/(-9)). Let f(q) = -q**2 + 40. Let u be f(-13). Let w = u + p. Solve w = -4*o - 10 + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/(-6)*(-33)\/54 + 27\/(-243).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 11. Suppose 4*g - 5 = 11, 2 = a - g. Let r = 0 + a. Is n != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 + 1. Which is greater: -2\/11 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 36 = 6*h. Let g be h*(2 - (-21)\/(-9)). Calculate the highest common divisor of 15 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and 0.3647.\nAnswer: -0.14588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -1\/5, -0.04, 4, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 535238 and 24329.\nAnswer: 535238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -732298 or -732292?\nAnswer: -732298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -p - 2*j, 4*j - 6*j = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3726 and 201.\nAnswer: 249642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 29 and -0.05213982.\nAnswer: -1.51205478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44791 = 97*d - 144*d. What are the prime factors of d?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**2 + u + 5. Calculate the remainder when 19 is divided by q(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 70.42 + -70.02. Which is the smallest value?  (a) w  (b) 10  (c) 3  (d) -4  (e) -2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2 + 10*t - 7. Suppose -2*a - 3 - 1 = -4*f, -a + 4*f - 12 = 0. What is the units digit of o(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, j: 6, d: 1, i: 2}. What is prob of picking 1 d and 2 j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -45\/116 - -4\/29. Which is the second smallest value?  (a) -5  (b) 2\/7  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - 10. Let s(i) = -4*i + 27 - 4*i**2 - 62 + 3*i**2 + 32. Calculate s(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2807 - -4.\nAnswer: -2803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6115625 rounded to two decimal places?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -11cb17 (base 13) in base 12?\nAnswer: -1878a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (j**3 + 0*j**3 + 0*j**3)*(748*j + 19 - 10 - 10) + 3*j**4 - 2*j**4 - 2*j**4 in the form d + n*j**4 + s*j**2 + w*j**3 + y*j and give n.\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 - -67. 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 5037308 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: Simplify (-1 + sqrt(13)*2 + 3)**2 + (-5*sqrt(1300)*3)**2.\nAnswer: 8*sqrt(13) + 292556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -936 = -4*i - 3*f, -4*i + 4*f = -68 - 868. Suppose 0 = -y + i + 386. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1596 and 3244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q = 4*t + 18, t - 5*q = -10 - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002052689817 rounded to 7 decimal places?\nAnswer: -0.0002053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 119, 466, 1051, 1880, 2959, 4294, 5891, 7756?\n\"Answer: o**3 + 113*o**2 + o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 397050761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*x**2 + 3*x**2 + x**2)*(-3 + 3 + 1) - 58*x**2 + 20*x**2 + 23*x**2.\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 480 a factor of 8368027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 408\/68 - 1*4. Find the third derivative of -11*o + 4*o**6 + 1226*o**5 + o**2 - v*o**2 - 1212*o**5 wrt o.\nAnswer: 480*o**3 + 840*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 6*v - 8. Let o(m) = 2*m - 3. Let f(p) = -8*o(p) + 3*u(p). Let h(i) = -12*i. Let s(b) = -b. Let j(a) = -h(a) + 3*s(a). Calculate j(f(g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 9605 = -5*v, -3*v - 5*c + 7217 - 1454 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 - y**2 - y + 7. Let l be c(0). Let t(k) = k**2 - 2*k - 2. Is t(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -5*f**2 + 2*f. Let p(s) = -21*s**2 + 9*s. Suppose 682 = -3*h + h. Let c = 350 + h. What is c*a(u) - 2*p(u)?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4607147 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**3 + 2*r**3 - r**3 + (0 + 0 + 1)*(-3*r**3 + 0*r**3 + 5*r**3) + r**3 + 2*r**3 - 2*r**3 - 2*r**3 + 3*r**3 + r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 77 = 63. Solve 1 = -5*b - 2*d - 18, b = -4*d + c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 3*s**2 - s**3 + 2 + 2*s - 4*s**2 + 0*s**2. Let l be d(-2). Let m be 4\/(-3)*(-2)\/(4\/6). Put 1, l, m in increasing order.\nAnswer: 1, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -6*a**2 - 6*a + 1. Let g(i) = -4*i**2 - 7*i - 90. Let o(n) = 19*n**2 + 36*n + 495. Let l(c) = 11*g(c) + 2*o(c). Determine -4*b(x) + 5*l(x).\nAnswer: -6*x**2 - x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(425) + -1 + sqrt(425))*5 - (-1 + (sqrt(425) + 1 - sqrt(425))))**2*-2.\nAnswer: -85050 + 1000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 127 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5378 (base 16) in base 8?\nAnswer: 51570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 209337799 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 2*h. Suppose 3*s + w - 7 = h, -2*s - 12 = -6*s - 2*w. Let p be 2\/(s\/(1\/4)). Which is the second biggest value?  (a) 2\/3  (b) p  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the second derivative of p**4\/4 + 8*p**3\/3 - 4*p**2 + 5*p. What is the hundreds digit of s(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 4*q - 12, -2*q = 5*g - 0*q - 6. Sort 10, -3, g, 5.\nAnswer: -3, g, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1143*m + 1156*m + 1164*m - 4598*m + 1158*m.\nAnswer: 23*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -135.\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -20 - x**2 - 7*x - x + 46 - 21. What is j(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -4 + 2*sqrt(1584)*3 + ((-1 + sqrt(1584))*1 + sqrt(1584))*5)**2.\nAnswer: -4224*sqrt(11) + 405625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.57, 0.08, 6\/3311?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 329*r + 1126*r + 572*r + 4*r**4 - 922*r**5 - 4*r**4 wrt r.\nAnswer: -18440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/44737 and 27\/2024.\nAnswer: 8231608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(864) + sqrt(864)*1)\/(sqrt(588)*-2).\nAnswer: -6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.56  (b) -2\/3  (c) -0.3  (d) 0.2  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g - 5. Let u be n(5). Let q(v) = 19 - 9*v + v**3 + 5*v + 5*v. Is q(u) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*j**2 - 7*j**2 + 0*j**2)*(7*j - 10*j - 5*j) to g*j + p*j**2 + o*j**3 + z and give o.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 133 and 84189?\nAnswer: 84189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1662436, 1662273, 1661834, 1660981, 1659576, 1657481, 1654558?\nAnswer: 1650669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 1:38 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*k = 2*k + 7283 - 7663 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 - 13. Suppose -l*i - 6*i + 1648 = 0. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -8, 2*m + 0*c + 2*c = 126. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 - -12. Suppose 3*c + 2*c - 225 = v. What is the common denominator of -68\/9 and (-10)\/c - 478\/144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((82*-7 - 1) + -2)\/((-303)\/7272) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xrxjjxxvjjrvrjj. What is prob of picking 1 x and 1 j?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 3*q = -5*z + 5, 4*z + 27*q - 275 + 255 = 637*q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 8\/18*(-10062)\/172\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 120 and 32?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -7*w - 16. Suppose 4*b + 2 = 7*b - 2*o, w = 4*b - 3*o. Solve 4*j - 16 = -q, b = -q + 2*q - j + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.924 take away 1?\nAnswer: -31.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47694145.\nAnswer: 5, 9538829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 341002890, 341002891, 341002892, 341002893?\n\"Answer: x + 341002889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 5 = -q. Suppose 0 = 4*i - 11 - q. Suppose i*h + 2 = 6*o - 3*o, 0 = -2*o - 5*h + 43. What is the greatest common factor of o and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 472 - 185. Is k 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) 4  (b) 5\/4  (c) 1\/3  (d) -2  (e) 0.2  (f) 1.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 16 = -5*b, 7 = w + 4*w + 4*b. Let i(v) be the first derivative of 4*v + v**2 + 9 - 2\/3*v**w. Factor i(q).\nAnswer: -2*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z*z**(-11)*z*z**(-2\/9) assuming z is positive.\nAnswer: z**(-74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 16257 and -360.8.\nAnswer: -5865525.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 - y. Calculate r(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 141 + 66?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -7*z + 2. What is f(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-82)\/(-8) + (-1)\/(-4 + 8). Suppose 3*q - g = -2*q. Solve -8 = -7*a + q*a - 3*h, 4*a = 5*h + 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -651.3 > -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-182)\/13)\/(3\/(9\/(-6)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2286998, -4573999, -6861000, -9148001, -11435002?\n\"Answer: -2287001*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*b + 2*b - 4021 = -3945 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -329973607 to the nearest one hundred thousand.\nAnswer: -330000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 12*b + 454. Give d(-37).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -1\/6  (b) 8465  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 5*b**2 - 6. Let h(r) be the third derivative of r**6\/120 + r**5\/12 - 7*r**4\/24 - r**3\/3 + 4*r**2. Let d be h(-6). List the prime factors of g(d).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2088 plus 0.013?\nAnswer: 2088.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7631369, -7631358, -7631347, -7631336, -7631325?\nAnswer: -7631314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30952*d + 185 + 296 - 30952*d - 2*d**2.\nAnswer: -2*d**2 + 481","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*m - 2*m + 4*m)*(2 + 4 + 0)*(-3 - 14 - 1).\nAnswer: 324*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 277939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (36\/30)\/(4\/(-10)). Sort -5, s, -1 in ascending order.\nAnswer: -5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8 + -503344?\nAnswer: -503339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11957, 47677, 107203, 190529, 297649, 428557, 583247?\nAnswer: 761713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 65164, 65133, 65100, 65071, 65052, 65049, 65068, 65115?\nAnswer: 65196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 318*c + 4883 - 122 = -481*c + 270*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 2735500 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.8 - -81.2. Let h = 42 - g. Let l = 39.99999949 + h. Round l to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-198)\/231 - (-927)\/(-21). Suppose 0*m = -m + 4, 0 = -w - 4*m + 75. Let r = w + v. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-486)\/(-1377)*17\/9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 1469*x + 616. Determine y(0).\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 17*o**2 + 14*o + 110. Let i be b(-6). Let u = i - 636. Find k such that -2\/9*k**5 + 0 + 0*k**4 + 0*k + 2\/3*k**3 + 4\/9*k**u = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*w**2 + 880990*w - 74038440.\nAnswer: 5*(w - 84)*(w + 176282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 5*d + 3*o - 88, -76 = -4*d - 5*o. Suppose -42 = -d*c - 4. Solve -c*a + 13 = -2*p + 5*p, 0 = 5*p + a - 24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 - -25. Let l(c) = -192*c**2 - 2*c + 2. Let i be l(1). Let u = -160 - i. Calculate the least common multiple of n and u.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 AM and 7:27 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24*-0.049.\nAnswer: -1.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of -5*y**4\/4 - 40*y**3\/3 - 95*y**2\/2 - 60*y + 2. Factor n(p).\nAnswer: -5*(p + 1)*(p + 3)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - v + 3*v)*(-27*v - 2*v - 7*v)*(1 - v - 1).\nAnswer: 108*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -157310, -314673, -472036?\nAnswer: -629399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1))**(-1\/6)*(f\/(f\/f**(5\/4)*f))\/f*f*f**2*f)\/(f**(2\/13)*f*f*f*f**(-1\/3)*f*f*f)**(-26) assuming f is positive.\nAnswer: f**(619\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*p = -975 + 607 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 - 23*g**2 - 20*g - 101. What is d(24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 3\/40 of a millisecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/198 and -91\/108?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/2)\/(6\/(-9)). Let x = z - -42. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 6 - 3) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -22\/404649 and 13\/45?\nAnswer: 2023245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -19*t. Let f be w(4). Let c = 46 + f. Calculate the common denominator of (-108)\/c - 1\/2 and 97\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 9296 = -2*m, r + 103 - 3211 = 3*m. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 4.999086 months?\nAnswer: 0.04165905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 220 (base 5) in base 8?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 367061 is divided by 13109.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 2*h + 145, 2*h = 4*i - 0*h - 194. Suppose -70 + 10 = 6*n. Let f be n\/(-4)*(i + -13). What is the highest common factor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, q: 3, m: 2, w: 3, d: 1, u: 4}. What is prob of picking 1 u and 1 q?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000002269956 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 39293809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 300613938.\nAnswer: 2, 3, 50102323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -55112305 (base 6) to base 7.\nAnswer: -16650566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**3 + 8 + 2*s**2 - 8 - 5*s**3 + s**3 + 2*s**3 + (-2*s**2 - 3*s**2 + 4*s**2)*(-s - 3*s + 6*s).\nAnswer: -2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 99600 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 10*z + 15. Let w be (((-12)\/4)\/z)\/1*5. Solve -2*a = j - 6, w*j = -a + 1 - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13 and 166792457.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3316763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 2*u**2 - 68*u. Let x(h) = 6 - 6 - 6 - 2*h + 6. Let y(t) = -4*t. Let g(w) = 3*x(w) - 2*y(w). What is a(g(c))?\nAnswer: 8*c**2 - 136*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the third derivative of -29*w**4\/8 + 55*w**3\/3 - 97*w**2. Find the first derivative of d(x) wrt x.\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1165)\/120*1 + (-3)\/(-9) and -145\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 42, 4, 0, -4, 47 in decreasing order.\nAnswer: 47, 42, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 29*s + 3. Let q(d) = 42*d - 69 - 65 + 173 - 56. Let m(f) = -5*f + 2. Let g(v) = 51*m(v) + 6*q(v). What is g(h(j))?\nAnswer: -87*j - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/12268 and -89\/264.\nAnswer: 809688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or 210\/61?\nAnswer: 210\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -288, -287, -286, -285?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 - -4. Let u be (-4)\/(-2) - 12\/q. Let g = -5016 - -5017. Put g, 0.01, u in increasing order.\nAnswer: 0.01, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -22*(24\/(-15))\/(4\/10). Let b = j + -71. Let y(z) = -z**3 + 16*z**2 + 6*z - 31. Calculate the remainder when y(16) is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 432.301 less than -29.88621?\nAnswer: -462.18721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/(416\/(-130)))\/(1*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/(5\/(-6)))\/((-186)\/30). Which is bigger: -0.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 8*i - 25. Suppose 5*j + 11 = -g, -3*j + 10 = -5*j + g. Let y(p) = -9*p - 19. Let d be y(j). Is 13 a factor of t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 3*t**3 - 8*t**2 + 7*t + 3. Let j(n) = -7*n**3 + 17*n**2 - 15*n - 7. Let m(a) = 5*g(a) + 2*j(a). Determine m(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7166 + 31686. What is y rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/2 - (-1 - -504). Let h = 4045\/8 + a. Find the common denominator of 13\/20 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = h - 71. Suppose -x = 2*q - 76, h = 3*x - 3*q - 139. Suppose 0 = 2*d - x + 10. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3482 or -3490?\nAnswer: -3490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence blbq when four letters picked without replacement from rzqblbmzl?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -10677, -20744, -30761, -40728, -50645, -60512, -70329?\n\"Answer: 25*t**2 - 10142*t - 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -a - 3, 4*w + 7*a = 8*a - 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 + 7*u**2 + 9*u + 25. Let p be g(-5). Is (7\/((-14)\/6))\/((-9)\/p) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5*p = -1081950, 3 + 5 = -4*p. Let o = 5966392 + k. Round o to the nearest 100000.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/364 and 64\/35?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 22584  (b) -0.196  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -239, -487, -743, -1007, -1279?\nAnswer: -1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6984\/(-2522))\/((-90)\/156).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - -1 - (2 + -2 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*c**2 + 124*c + 600 = 0. What is c?\nAnswer: -25, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -97 at least as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + -0.9. Let h = -0.5 - s. Which is the second smallest value?  (a) 3  (b) h  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -474*f - 19456. Determine m(-38).\nAnswer: -1444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3\/3 - 2782178*y**2\/3 + 27821855*y\/3 - 23184900.\nAnswer: -(y - 5)**2*(y + 2782188)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 - 24*z**2 + 82*z + 748. Calculate f(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, w: 15}. Give prob of sequence jjj.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kpnmdam. What is prob of picking 1 a and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 23 - 18. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 7665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -171102 + 86607 = 17*f - 85753 for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.8 + 0.2. Suppose g = -40 + 115. Let h be (-3)\/2*5\/g. Which is the nearest to 1?  (a) -2  (b) h  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -2*v**3 - 6*v**2 - 6*v + 5. Give y(4).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 16*x - 11*x. Suppose -x*w = -22*w + 65. Solve -o + w*o = -20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 + 7407?\nAnswer: 7403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and 172.1907.\nAnswer: 172.1907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwwiwwi. Give prob of picking 3 w.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55 - 66*h**3 - 80*h**3 + 119*h**3 - 78*h**3 + 104*h**3.\nAnswer: -h**3 - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 87228511, 87228516, 87228521, 87228526?\n\"Answer: 5*g + 87228506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -30*k + 27. Let c(z) = -3*z + 3. Let m(p) = 9*c(p) - w(p). Let s(j) = 648*j**2. Calculate s(m(g)).\nAnswer: 5832*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197646 is divided by 639?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12625.8 + 12626. Let p = -8 + 7. Which is the third biggest value?  (a) -0.9  (b) p  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 54117870 and 10.\nAnswer: 54117870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -10*u - 2. Let t be g(-2). Let l(v) = v**2 - v + 3. Let k be -6*(-4 + 3) - 3. Let p be l(k). What is the highest common divisor of t and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1113 from -5692.5.\nAnswer: -5692.6113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h + 2*h - 42. Suppose 204 = 4*b - 4*j, b - 72 = 28*j - 30*j. What is the remainder when b is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*m = -17*m + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10800, 4, -4, -1, 0.01, 1\/5 in decreasing order.\nAnswer: 10800, 4, 1\/5, 0.01, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 3:08 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -3*i**4 + 774*i**3 - 34920*i**2 - 2109750*i + 6622875 = 0?\nAnswer: -35, 3, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -69 + 26. Let g = 65 + i. Calculate the remainder when 42 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-286)\/33)\/(13\/(-6)). Solve s*n = 2*c - 28, -4*n + 53 = -5*c + 93 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, x: 1, q: 5, l: 5}. Give prob of picking 2 l.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3444248, 6888563, 10332878, 13777193, 17221508, 20665823?\n\"Answer: 3444315*b - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -398, -1246, -2562, -4340, -6574, -9258, -12386?\n\"Answer: u**3 - 240*u**2 - 135*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -714*m**2 - 134*m**2 + 137*m**2 - 290*m**2 to the form z*m**2 + c*m + d and give z.\nAnswer: -1001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 + 0)*(4*u**3 - u**3 - 2*u**3) + (12*u - 3 + 3 - 2)*(2*u**2 - u**2 + u**2).\nAnswer: 23*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -0*r - 25. Let x(h) = 60*h - 59*h + 3 + 2 - 6. Give x(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 164 - -46. Let n = 204 - k. Let g = 0.01 - 3.01. What is the third smallest value in n, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l. Let z(y) be the first derivative of 3\/2*y**2 - 2 + 0*y. What is z(t(c))?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 645, -1235, -5627, -12525, -21923, -33815?\nAnswer: -48195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 13*p**2 - 18*p + 2. Let f be o(15). Suppose u = 3*u - f. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14543356 (base 9) in base 7?\nAnswer: 115322412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-402822)\/2346)\/(-139)*(-2)\/3*16\/14?\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7117353, 7117369, 7117383, 7117395, 7117405?\nAnswer: 7117413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20, 41, 82, 155, 272, 445, 686?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b + 90*b - 14096 + 14126 + 54*b + 35*b.\nAnswer: 180*b + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 276 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/688 and -46\/2881.\nAnswer: 46096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2530968 by -4.\nAnswer: -632742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 30694b0a + 4?\nAnswer: 30694b0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -5*m**2 - m**3 + 5 + m**2 - 2*m + 1 + 8*m**2. Calculate g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**29\/i)**(-9\/5) assuming i is positive.\nAnswer: i**(-252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/6298 and 67\/1754886.\nAnswer: 117577362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (92\/483*-27)\/(6\/(-70)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 = -4*y + 117. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1050163 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 55*i**3 - 20*i - 20. Let t(x) = -11*x**3 + 6*x + 6. Let r(f) = 12*f**3 - 7*f - 7. Let q(a) = -3*r(a) - 4*t(a). What is 20*q(b) - 3*u(b)?\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 9, v: 8, x: 2}. What is prob of picking 1 v and 1 x?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 522676 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 5*j - 3*b, 0 = j - 0*j - b - 4. Let h = -2 + j. Determine d so that -d**2 + 1\/2*d**4 + h*d + 0*d**3 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 163 + 171 + 195*y + 224*y - 339 in the form x + q*y and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 42*b. Let d(i) = i**2 + 9*i - 18190. Calculate d(c(g)).\nAnswer: 1764*g**2 + 378*g - 18190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 14 = 22. Suppose 0*f - p*f = -4. Suppose 3*c = -4*s + 12 + 12, c + 3*s = 3. Solve f*a + a = -c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8150 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2 + 8 - 7*p + p**3 + 3*p**2 + p**2. Let r(u) = -u**3 - 22*u**2 + 25*u + 40. Let j be r(-23). Determine z(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4996*s - 5006*s - 5002*s - 5002*s - 4999*s + 25013*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3921153 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -189 - -187. Let g be (-9)\/21 + 594\/63 - 7. Which is the third biggest value?  (a) j  (b) g  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/12)\/d**1*(d**(2\/3)\/d)\/(d**7*d))**(-5) assuming d is positive.\nAnswer: d**(565\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - -2 - (3 - (-2 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/3, 0, -82509\/358 in descending order.\nAnswer: 0, -5\/3, -82509\/358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 + 2*o - 11. Calculate y(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-30033)\/(-1846))\/141*(-26)\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-6) - (-19)\/3. Suppose -2*u + q*u - 88 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 261*u - 44864 = 253*u. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2003203021 (base 4) to base 14.\nAnswer: 100517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(sqrt(5) + sqrt(45)) + -2 + ((0 + sqrt(2) + sqrt(2))*-3*-2)**2.\nAnswer: sqrt(2)\/4 + 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 61*h - 5. Let v be m(3). Determine o, given that -4*o**2 + 87 - v + 107 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -b - 3*d, -2*b - 27 = 4*d + d. List the prime factors of ((-3)\/b)\/(3\/90).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -7*c**2 - 155*c**3 + 1 - 113*c**3 + 267*c**3. Let q(y) = -y**3 - 5*y**2 + 8*y + 5. Let u be q(-6). Let s be f(u). Put -5, 18, s in ascending order.\nAnswer: -5, s, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7\/(-35) - (-718124908)\/(-10). Let q = 104412491 + r. Round q to the nearest 1000000.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 - 10*t**2 + 8*t - 10. Let u be o(-11). Let h = -16 + u. Suppose -h*i = -i. Is i > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 109 (base 12) to base 9\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-44384)\/(-456) + 2600\/156.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -3*s - 10. Let n(q) = 9*q + 29. Let v(o) = 3*n(o) + 8*u(o). Let j be (-9 - 128\/(-56)) + (-2)\/7. What is v(j)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1225560307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-3 + 4 + (-6*(-5 + 0 + sqrt(363)) - (-6*(sqrt(363) + 1 - sqrt(363)) + sqrt(363))*-2))**2.\nAnswer: -18507 + 5016*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - 261 + 311 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3843)\/(-210))\/(8\/52) - (5 - 909\/180)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12799997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1*(3 - -1 - 3). Let x = k + 14. Let n = x + -7. Solve -h + 5*h = -n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 428415 and 7510.\nAnswer: 643479330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -29*g**4 + 35 - 205 + 5*g - 5*g + 3*g**2 wrt g?\nAnswer: -116*g**3 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 2696006 = 3*a + a, 5*u = -15. What is a rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -78, 0.1, -1, 3, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 3*d + 88 - 26, 5*x = d + 72. Solve 11*o = x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5039059, -5039082, -5039127, -5039200, -5039307, -5039454, -5039647, -5039892?\n\"Answer: -s**3 - 5*s**2 - s - 5039052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 28 = -8*z. Suppose 3*g - 16 = -0*t - 4*t, -2*g + z*t + 4 = 0. Let o(q) = -2*q**3 + 5*q**2 + 3*q - 3. Give o(g).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1043*g + 1014*g = -58 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*k - 34*k + 114 = 0. Suppose -k*g - 178 = -21*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**2 - 8*y + 1. Let u(q) = -2*q**2 + 3*q + 4. Let x be u(3). Calculate the lowest common multiple of 10 and c(x).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 5*q**2. Let g(s) = 2*s + 5*s - s - 5*s. What is g(b(i))?\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 10\/8*-7*25\/((-15750)\/144). Put 128, 10, z in increasing order.\nAnswer: z, 10, 128","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 9:31 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(2400)*1*5)\/((sqrt(392) - (sqrt(392) + sqrt(392)*1))*3 - (sqrt(392) + sqrt(392)*2*-6)).\nAnswer: 25*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 11, y: 1, s: 5}. Give prob of sequence ydsd.\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - 3)\/(1 + -2). Let x(n) = -5*n**r + 2 + 7*n - 1 + 6 - n**3. What is the units digit of x(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4947 - -4952. Sort 2, -8201, h in decreasing order.\nAnswer: h, 2, -8201","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*s**2 - 19*s**2 + s**2.\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-6) - 10\/12. Let v = -8951.1 + 8951. What is the second smallest value in 0.5, v, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -8*y + 21. What is z(16)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -44, 0, 2, -1032, -1, 5 in ascending order.\nAnswer: -1032, -44, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/9)\/(10250\/196800)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -68*o**3 - 112*o**2 + 69*o**3 + 4 + 103*o**2 + 8*o. Let z be (-148)\/(-18) - (-4)\/(-18). Calculate s(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -411\/13 or -1?\nAnswer: -411\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 264\/308 + 55\/140.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 + 4*t**2 + 6*t - 9. List the prime factors of g(4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-l - 3*l - l)*(4*l - 4*l**3 - 4*l) to w + f*l**4 + t*l + b*l**3 + c*l**2 and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*k**3 + 2*k - 11*k**3 + 1209*k**2 - 1164*k**2 in the form l*k + d*k**2 + y*k**3 + m and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - 544223150?\nAnswer: -544223155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(130)*1 + sqrt(130) - sqrt(130))*-1 + sqrt(130) + sqrt(130) + sqrt(130) - sqrt(130))\/sqrt(10)*1 + 2)**2.\nAnswer: 4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 - g. Let f be i(-2). Suppose -6 = t - 10. Suppose -t*b = 3*p - 78, 2*b - 3*b + 4*p + f = 0. What is the greatest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 7 + 295?\nAnswer: 29c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 36 + 59 = 0. Suppose -d*r = -23*r. Let m be (r\/1)\/(-4) - -2. Solve 0*v + v = m*c + 7, -c + 1 = -2*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39230771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 10 - (-2 + 7 + -3 + -4 + 2 + -11)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.04, -0.4, 0, 2\/5, -0.785, 4 in decreasing order.\nAnswer: 4, 2\/5, 0.04, 0, -0.4, -0.785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-469 + 37 - 547)*(0 + 4 - 2)*(14 - 14 - 5*w**2).\nAnswer: 9790*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 3)*(-842 - 8*w + 5*w + 850 - 68*w).\nAnswer: 142*w - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of y**6\/120 - y**5\/10 - 5*y**4\/24 - 5*y**3\/6 - y**2. Let w be (-6 - 1)*-1*2\/2. What are the prime factors of d(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 75 = -3*g, 0*g - 75 = -3*g + 5*q. Suppose 61 = -u - g. Is u != -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 162*r + 8 = 170*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ce4 (base 15) in base 13?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + 12203?\nAnswer: 12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -6*r**2 + 535*r - 11692. Calculate a(49).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 48717, 97436, 146155?\nAnswer: 194874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14765156 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -27.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32 - -43) + (7 - -3) + -2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 23*s**3 + 22*s**3 + 6*s**2 - 40*s**3 in the form o + g*s**3 + i*s**2 + u*s and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 27*f**2. Let o(n) = 97482*n**2 + n. What is o(y(z))?\nAnswer: 71064378*z**4 + 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 PM and 11:12 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24557937 by 6.\nAnswer: 8185979\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}