{"text":"Question: Is 37065996 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((sqrt(117) + sqrt(117)*3)*-3)\/(sqrt(9) + (sqrt(9) - sqrt(9)*-3)*-4)*-3)**2 + 0.\nAnswer: -5616\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/(-15) + (-38)\/6. Calculate the common denominator of s\/8*(-436)\/30 and 55\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -794797, -794795, -794793, -794791, -794789?\nAnswer: -794787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3294109 by 1.\nAnswer: -3294109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 9.764061 centuries?\nAnswer: 0.9764061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 20*d + 23*d - 40*d + 53. Let j be i(-16). Solve -8 + j = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 - 3*t + 13. Let n(j) = 2*j**3 + 5*j - 27. Let s = -802 + 807. Determine s*b(k) + 3*n(k).\nAnswer: k**3 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that w**4\/2 - 2735*w**3\/2 + 4098*w**2 = 0.\nAnswer: 0, 3, 2732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 155 and 1771495?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 473096780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10*g**5*x**3 - 5*g**5*x**2 - 8*g**2*x**3 - 7*g*x**3 wrt g.\nAnswer: -600*g**2*x**3 - 300*g**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - 5.2. Let f = 1.2 + q. Which is the third smallest value?  (a) f  (b) 0.3  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -215f4 (base 16) to base 14\nAnswer: -37b5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.026099um in centimeters?\nAnswer: 0.0000026099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/6)\/k**(1\/8))**(-23)\/((k**2*k)**(-48)*k**(1\/4)*(k*k**(-4)*k)\/k) assuming k is positive.\nAnswer: k**(3499\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 34\/3825*15*(-18)\/36\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -4558 equal to -4593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -114789 divided by 177.\nAnswer: -38263\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -6*t - 5*t - 9*t + 10*t. Suppose 12 = s + 3*s. Let q(w) = -w - 3*w + s*w. Give g(q(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4320032 (base 5) to base 10.\nAnswer: -73142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the second derivative of n**7\/14 - n**6\/2 + 9*n**5\/10 + n**4 - 4*n**3 - 19*n. Suppose p(s) = 0. What is s?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**2 - 7*x - 4. Let u be (-106)\/(-12) - (-3 - (-34)\/12). What is the lowest common multiple of w(-5) and (-12)\/(-9)*(3 - u\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 61748 and 3231.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2799604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 245280 to the power of 1\/2, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6907 - 7146.03. Round x to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21020 (base 3) in base 4?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 3*h - 14 = 46, 0 = -h - 5. Suppose 0 = -0*a + 5*a - r. What is the highest common divisor of a and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 + 4*z**2 - 3*z + 6. Let q be l(-5). Let i = 6 + q. Suppose -8*a = -3*a + 5*y + 5, -i*y = 3*a. Solve -1 = -x, -3 = -a*n + 2*x - x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 619407 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of 3*q**8\/112 + 2*q**5\/15 + 6*q**2. Find the third derivative of l(b) wrt b.\nAnswer: 540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 287.8731 * 0.3\nAnswer: 86.36193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 5*b - 9 = 19, b - 8 = -3*u. Suppose 0 = -u*i - q + 7, 0 = -2*q - 5 + 11. Calculate the greatest common factor of i and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 - 12*x - 12. Let p be n(-11). Sort p, -5, 4, -4 in decreasing order.\nAnswer: 4, p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 + h - 2. Let a(d) = -d**3 + 7*d**2 - 3*d + 8. Let w(r) = a(r) + 2*x(r). Suppose 6 = 3*p - 3, -4*q - 3*p + 29 = 0. Give w(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 221*n**4 + 25 - 25 - 48*n**4 + 3*n**3 - n as d*n**3 + c*n**4 + s + m*n**2 + b*n and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3543*t**3 + 14*t**2 - 1136*t.\nAnswer: 21258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 + 2\/(-1 - 0). Let s be ((-20)\/27*93\/(-155))\/(-2). Which is the second biggest value?  (a) s  (b) 2  (c) 1  (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 + -12.11. Let z = i - -0.110044. Round z to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14*b + 20 - 20)*(-1 - 1 + 4) - 3*b - 2*b + 2*b + 1 - 1 + 2*b - 4*b + 0*b + 5*b + (-b + 1 - 1)*(-1 + 3 - 3) to the form n*b + a and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (24\/(-12))\/(((-2)\/(-313))\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - b**2 + b. Let c be h(0). Let t = 2 - -1. Suppose 0 = r - 6*r - d + 3, 6 = -t*d. Which is smaller: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1988781?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46377 divided by -3.\nAnswer: -15459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1816, -8672, -20578, -37540, -59564?\n\"Answer: -r**3 - 2519*r**2 + 708*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 1505 = 5677. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1789061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h**(-2)\/h*h)**(-27))**23)**(-37) assuming h is positive.\nAnswer: h**(-22977)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(56)*1)\/sqrt(8) + sqrt(567)\/sqrt(9) - -6*(2 + sqrt(1008)))**2.\nAnswer: 1824*sqrt(7) + 40581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 279 = 5*x + 2*f - 426, -5*f = -4*x + 564. Calculate the remainder when x is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8115?\nAnswer: 3, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -231*o**2 + 116*o**2 + 119*o**2 + 3. Let r(x) = -17*x**2 - 13. Let h(d) = 9*l(d) + 2*r(d). Let t(v) = 2*v. Calculate t(h(z)).\nAnswer: 4*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/3))**(-39)*g*g**(2\/3)*g\/g**(-2))**(-20\/11) assuming g is positive.\nAnswer: g**(-1060\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 131 + -112. Let r(u) = 1 + 22*u + 0 + x*u - 37*u. Give r(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 48.02 + -1.02. Let o = 5638450.999916 - 5638404. Let q = s - o. Round q to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ivni when four letters picked without replacement from {n: 9, v: 1, c: 1, i: 4}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 70\/3 and -44\/71.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*d = 110*d + 1323 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 - -7. Let b be (18\/(-2))\/m - -5. Solve 6*v + b*a + 2 = v, v = 4*a - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 9 = 3*b, -3*b + 19 = -6*h + 8*h. Factor 6*r + 17 + 2*r**5 - 21 - 3*r**h + 7*r**2 + 2*r**3 - 10*r**3.\nAnswer: 2*(r - 1)**3*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 415 - -72?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17 + -30. Let i = 17 + s. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3113 - 3090. Solve -108 = d*x - 5*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -337*i**4 + 35*i**3 + 854*i**2 + 17*i?\nAnswer: -8088*i + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -8004 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -9269 - -9?\nAnswer: -9260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 28 and -13779.\nAnswer: -385812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32427567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z + 8946 = 51*z. List the prime factors of z.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -232\/33 + 11311\/1551. Find the common denominator of 1981\/840 + 2\/(-20)*((-6 - 6) + 6) and t.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((15\/(-2))\/1)\/((-558)\/(-62)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-704)\/(-441) + (86521\/1519 - 57).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7025\/(-2)*-6*(-4 + 5). Round r to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -452.2 to the nearest 10.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 + 11*w**2 - 2*w - 8. Let t be i(-11). What is the greatest common factor of t and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = -3, 165*c + 158*c = 4*z + 324*c - 35 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33 + -43. Let m be (-5)\/(-2)*(-8)\/o - 171. Let l = -57 - m. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53946 divided by -5994.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ko when two letters picked without replacement from {k: 3, o: 4, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -157532928, -157532923, -157532918, -157532913, -157532908?\n\"Answer: 5*z - 157532933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of d**6\/120 - d**3\/2 + 3*d**2. Let c(p) = 4*p**3 - 13. Suppose 5*t + 1 = 11. Suppose -t*v = -4*v + 8. What is v*c(u) - 18*m(u)?\nAnswer: -2*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 9590, 19446, 29590, 40028, 50766, 61810?\n\"Answer: b**3 + 138*b**2 + 9435*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/10 + 1 + 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -448 divided by 2.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 5, 0.7, 4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -748 - -0.3\nAnswer: -747.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 67 + 17 + (-34 - -22 - (0 + -23)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -3*v + 8. Let c be y(4). Suppose 3 = 2*q + 1. Let d be 1 + (0 + -1)*7. Put c, d, q in ascending order.\nAnswer: d, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u. Suppose 8*n + 163 = -37. Let h be 10\/n + (-54)\/(-10). Let b(o) = -5*o + h*o - 3*o. Give b(v(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + 0.0561?\nAnswer: 13.0561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/3  (b) -116178  (c) 108  (d) -1\/9  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 3*b. Let n(x) be the second derivative of 7*x**3\/6 - x**2\/2 - 17*x. Let c be ((-6)\/(-4))\/(12\/(-32)). Let o = c - -2. Determine o*n(p) + 5*d(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.43313533 take away 4?\nAnswer: -3.56686467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 + 4*v**2 - v**2)*(-6*v**3 - v**3 + v**3) - v**5 - 3 - 2*v**5 + 2.\nAnswer: -9*v**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -13*a**3 - 5*a**2. Let d(w) = -13*w**3 - 4*w**2 - 3*w. Let b(y) = 26*y**3 + 8*y**2 + 5*y. Let m(h) = 3*b(h) + 5*d(h). Calculate -5*m(v) - 4*s(v).\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6121114 is divided by 10853?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3430, -26817, -90138, -213361, -416454?\n\"Answer: -3328*q**3 + q**2 - 94*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of d**2 - d - 2. Let b be t(5). What is the common denominator of 166\/(-6)*b\/12 and 46\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 170397996 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 442*r = 272*r + 420*r + 8000 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*z = -12*z + 10890. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/4 - (-6)\/(-12). What are the prime factors of l\/(-11) + (-326400)\/(-561)?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -127784178*o**5 + 196578886*o**2?\nAnswer: -7667050680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 - q**2 + 1. Let a be t(-2). Let p = -7 - a. Suppose -y + 1617 = p*w - 2*y, -20 = 4*y. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 66, 142, 248, 384, 550?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 81.39232s to microseconds.\nAnswer: 81392320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 9:14 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t + 5*t + 447 - 454. Give g(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + 9*t - 16. Does 12 divide g(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*c + 100 = 70*c. Find the first derivative of -c*v**3 - 23 + 4*v**3 + 3873*v**2 - 4089*v**2 wrt v.\nAnswer: 6*v**2 - 432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-7)\/f**(2\/15)*(f*f\/(f*f*f\/(f\/(((f**(-5)\/f)\/f)\/f)*f))*f)\/(f**(-4\/7)*f))\/((f**(-1\/2)\/f)**2\/(f**3\/(f\/(f**(-5)*f)*f))) assuming f is positive.\nAnswer: f**(256\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19 by 12.\nAnswer: 19\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.052 and -51.\nAnswer: 2.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 5*q = 22. Let l = q - -2. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2026655 * 21.\nAnswer: -42559755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnknnkknnkkkknknkkn. Give prob of sequence nnk.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2802 (base 10) in base 7?\nAnswer: -11112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -18532b - -152?\nAnswer: -1851b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = 10, 17*c = -2*j + 14*c + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 140 - 140 + 5*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 426 - 424. Let f = 4 + -4.3. Sort f, 5, y, 1\/2.\nAnswer: f, 1\/2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a (base 14) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 172*z + 479*z + 289*z + 241081 + 42*z + z**2.\nAnswer: (z + 491)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.25 and 82?\nAnswer: -20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.6 and 15962?\nAnswer: -9577.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/3)\/(467\/(-15))*(-788982)\/1972455?\nAnswer: 2\/467","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-6*3*sqrt(320) + (1 + -3*sqrt(320) - sqrt(320))*-5)**2 + 5.\nAnswer: -7360*sqrt(5) + 2708510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/7  (b) 0  (c) 1  (d) -2  (e) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-120)\/200 + -1 + 19\/2 and 131\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 1  (c) -7.15  (d) -3\/2  (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1833 and -1179651486?\nAnswer: 1179649653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48)\/(-6) + -6 + (-4 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 45 = -3*h. Suppose -1 + h = 5*q. Suppose -5*y = 3*g - 23 - 34, q*g + 3*y = 39. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1380, 5, 5643, -3 in ascending order.\nAnswer: -3, 5, 1380, 5643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 785 - 785 - 46*v.\nAnswer: -46*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9 - 171*(-12)\/(-216). Put -1\/98, 0.4, q, 0.5 in descending order.\nAnswer: 0.5, 0.4, -1\/98, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10000011100000100 (base 2) to base 9.\nAnswer: -112323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 117698 and 448?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/6)\/(-2 + (-6)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nqsqsqnsqnqnqq. Give prob of picking 3 q.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 525676127 a multiple of 605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -23\/199?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + -31055414?\nAnswer: -31055421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/7*47\/((-2303)\/98).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-2706)\/396 - -9)*-2\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/801042 and 97\/10?\nAnswer: 4005210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8*-1*2\/(-4). Let a be (-17)\/(-2) + (-2)\/g. Let h(f) = -f + 6. Let i be h(a). Let r(l) = 5*l + 2. Determine r(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**3 - 24*q**2 - 1018*q + 25083. Give j(30).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of -6*p**5\/5 - 3*p**4\/4 - 112*p**3\/3 + 237*p**2\/2 - 2*p - 4215. What is the second derivative of b(l) wrt l?\nAnswer: -72*l**2 - 18*l - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*m**3 + m**3 + 4*m**3)*(-4 + 2 + 0) + 12*m**3 + 5*m**3 + 22*m**3 to the form q*m**3 + w + a*m**2 + z*m and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10402 (base 6) to base 14.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 0.3  (c) 163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2037 + -5?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i + 280. Let x be b(0). Suppose -2*v + x = 3*v. Does 28 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 55, 124, 239, 400?\n\"Answer: 23*s**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -217, -235, -253, -271?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -218*i - 20. Let s(d) = 73*d + 7. Give 5*b(m) + 14*s(m).\nAnswer: -68*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -6*v - 1. Let f(d) = -7*d - 1. Suppose 7*b - 2*b - 362 = 3*m, b - 74 = -m. Let i be ((-119)\/(-34))\/(1\/22) + 1. Let r = b - i. Give r*f(y) + 6*a(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 764920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1655\/1628?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70780 is divided by 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 10) to base 9\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 561*f = 3546 - 741 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-1\/3)*q)**(-4\/3)*q\/(q\/((((q*q**5*q*q*q)\/q)\/q)\/q*q*q)*q)*q**3)**(8\/7))**40 assuming q is positive.\nAnswer: q**(26240\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 575 - -17076?\nAnswer: 17673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/2236 and -91\/16?\nAnswer: 8944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*((-650)\/(-125))\/(-26)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j. Suppose 2*m + 6 = 0, m + 4*m = 4*q - 19. Let i(h) = -3*h + 2. What is q*i(n) + 4*b(n)?\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 89584 divided by -22396?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16.9 + 17.4. Which is the second smallest value?  (a) q  (b) -4  (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 34*p - 813. Let t be f(24). Solve 3*k = -d + t, -2*d + 6 = 2*k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 67763760906 from -0.5.\nAnswer: -67763760906.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 105947?\nAnswer: 53, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4148007 is divided by 33184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 - 2*o**2 + 1332193 + 1905*o**2 - 1332193 - 4*o**2 + 5*o**2 - 3*o**2 + (-2*o - 3*o + 7*o)*(-2*o + 5 - 5) + 0*o**2 - o**2 + 0*o**2.\nAnswer: 1896*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 11 - (173 + -168) - -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4 - 35\/(-15 + 10). Let z = 0.7 - 1. Which is the nearest to -0.4?  (a) 0.2  (b) m  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 755 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1146034 divided by -7?\nAnswer: 1146034\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 + 23*i**2 - 15*i - 76. Is y(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.5, 71, 3, 1?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8269*s - 8302*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + c)*(c - 1 + 1) + 0*c**2 + 2*c**2 - 4*c**2 + 3*c**2 + 0*c**2 - 4*c**2 - 2*c**2 - 3*c**2 + 3*c**2 - 643*c**2 - 1300 + 1369 + 578*c**2.\nAnswer: -69*c**2 + 69","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -13*u**2 + 8*u - 18. Let j(d) = 8*d - 5 - 1 - 11 - 11*d**2. Let s(k) = -6*j(k) + 5*r(k). Determine o so that s(o) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q + 34. Suppose -57 + 3 = 6*x. Let m = x + 0. Let g be j(m). Solve 3*b + 16 = 2*f + 3*f, -2*b + g = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 - 24\/9)\/((-6)\/153). Let m = a + -25. Let c be 26 - (2\/m + 2\/8). Calculate the greatest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 665\/30*2\/(-14)*18\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 27846 times 0.4\nAnswer: 11138.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1335\/(-18) - 2\/(-12))\/(-2). Let g = 2412 + x. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((39\/5)\/13)\/((-6)\/250)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -602 + w**2 + 1841 + 2*w**2.\nAnswer: 3*w**2 + 1239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (16\/9)\/(-4) - (-3364)\/36 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in o - 1107*o**3 - o + 1564*o**3 - 975*o**3.\nAnswer: -518*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-21)*(-4 - 8 - -6)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*k - 2*k**2 - 7*k - 2*k**3 + k - k**4 to the form f*k + q*k**3 + a + x*k**4 + r*k**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 5*k**3 + 91*k**2 + 16*k - 13. Let m be i(-18). Solve 2*r - 3*o = -m, -2*r + r - o = -1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25228431017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005491033948 to five decimal places.\nAnswer: 0.00549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 4*g - 3*y, 5*y = -5*g + 4 + 6. Which is greater: g or -2\/81?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 129335754 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*k = 4*j + 100*k + 6881, -5*k - 8600 = 5*j. Let u be 1128\/5*(-6 - -1). Let z = u - j. Is z 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 475022?\nAnswer: 2, 109, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 67, 366, -19 in ascending order.\nAnswer: -19, 67, 366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 49 - 23. Let u = 56 - y. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04505316477 to three dps.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 < 465273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -86*k**3 - 11*k**2 + 11. Let i(c) = -17*c**3 - 2*c**2 + 2. What is -2*a(g) + 11*i(g)?\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -163410298 divided by 1?\nAnswer: -163410298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k**2 - 18*k + 26. Let t be j(8). Suppose 47328 = t*i - 4*i. Suppose -2*g = 5*f - 2374, 2*f + i = 5*g + 1953. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nwy when three letters picked without replacement from {d: 4, w: 3, y: 2, n: 3, p: 1, m: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 794883 is divided by 740.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 173, 1, 4, 2 in decreasing order.\nAnswer: 173, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1\/3, 0.3, 222361, -31?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 3 i when four letters picked without replacement from {i: 7, w: 4, f: 5}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8)\/10*(-20)\/8. Suppose 0 = c*l - 2 - 16. Suppose 2*z = l + 7. Solve -a + 2*g = -z, -a - 8 - 4 = 3*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 - 87 = 3*r. Let o be 2\/(-24)*-6*(27 - (2 - 9)). Let m be (0 - 1)\/(-3 - 3). What is the second smallest value in o, m, 0, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vdfdvf. Give prob of picking 2 v and 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v**3 + 67*v**2 + 426*v - 3190. Calculate p(38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/(-14) - (-105948)\/76300.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b**1)*b*b*b**(-5\/3))\/(b\/((b**1*b*b)\/b))**(-5) assuming b is positive.\nAnswer: b**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 147 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, g: 6, d: 9}. What is prob of picking 1 g, 1 d, and 2 p?\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 1)*(-2 - 51 - 27)*(-2*l + 0*l + 0*l).\nAnswer: -160*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 299, 28670, 3\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 = -1964*o + 1977*o. Let y(n) = -n + 8. Let r(t) = t - 8. Calculate o*r(f) - 6*y(f).\nAnswer: f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1059119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 135 + 48. Let d = j + -99. What is the greatest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3722, -4034, -4346, -4658, -4970, -5282?\n\"Answer: -312*x - 3410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 12. Let q be (-12)\/60 - 92\/(-10). Let n be -1 - 1 - (-3 - q). Solve -m*g - 13 = 3*z - z, 2*g - 4*z = -n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 p, and 2 m when four letters picked without replacement from tpbqtumm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2*a + 129. Let n(c) = 2*c - 127. What is 4*n(z) + 5*s(z)?\nAnswer: -2*z + 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d - 2*d**2 + d - 3*d)*(18*d - 20 + 20).\nAnswer: -36*d**3 + 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {m: 1, l: 1, b: 1, p: 1, c: 1, q: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1051 plus 21.8399?\nAnswer: 21.7348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 + 5*d + 8. Let t be z(-8). Suppose 2*i = -0*h + 2*h - 8, -2*h = 4*i - t. What is the lowest common multiple of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20779905 to the power of 1\/2, to the nearest integer?\nAnswer: 4558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 + 5*s**2 - 6*s + 6. Suppose 3*d + 12 = 0, -5*a + 2*d - 7 = -35. Let b be t(a). What is the units digit of (-1 + 6)\/((-2)\/b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 38220 and 1545.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3813381 rounded to two dps?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 145686000 rounded to the nearest 1000000?\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 150*g**2 - 53*g**2 - 45*g**2 - 51*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -3794 at most as big as -3794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 47.756\nAnswer: 4.7756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 2*k**3 + 27*k**2 + 33*k + 74. What is t(-14)?\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 42\/126*(-324)\/(-2) - 19\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of -13*r**6\/15 - 19*r**3\/6 + 12*r. Find the second derivative of x(j) wrt j.\nAnswer: -312*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -56*f**2 + 46204*f - 3300.\nAnswer: -4*(f - 825)*(14*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b + 13. What is c(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7927 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.684 + 0.184. Let p = 6 + -8. Let f = l - p. What is the third biggest value in 1\/5, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-304))\/((12 + -23)\/88)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 6*s**5\/5 - 276*s**4 - 92682*s**3\/5 + 37896*s**2 - 95424*s\/5 = 0.\nAnswer: -56, 0, 1, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 + 2*u - 1. Give p(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4904*u - 4672*u = -10363*u + 44859 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1178.1 - -1180. Let l = 278 + -274. Which is the second smallest value?  (a) 1\/2  (b) l  (c) f  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3*o - 13 = 3, -2*d - 2*o = -16. What is the remainder when 117 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 3 + 6)*(-1 - 3 + 5)*((3 - 4 + 4)*(2 + k - 2) + 5*k + 6*k - 5*k) in the form w + m*k and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*f - 122 + 2 = 0. Suppose -4*u + d + 42 = 0, -29 - 29 = -5*u + f*d. Solve 5*y = -u + 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 3*w - 0*w - 28, 5*n + 88 = -2*w. Let a be n\/(-4) + 1 + -3. Suppose a*y - 105 = -5*k, -4*k + 3*k + 39 = 4*y. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 79 - ((-43 - -135) + -53)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19 - -25. Suppose 2*w - k*w + 12 = 0. Suppose 3*y + 0*y - w = 0. Calculate the least common multiple of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -50198350 to the nearest one hundred thousand.\nAnswer: -50200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1728) + (sqrt(60)\/sqrt(5))\/sqrt(4).\nAnswer: 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8464377*g - 756 = 8464323*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1695568?\nAnswer: 2, 7, 15139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zatpaanpzkaakzaatpaa. What is prob of sequence nt?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 201 - 1. Let z be ((-195)\/m + -4)*4. Which is the third biggest value?  (a) z  (b) -6\/11  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 434670?\nAnswer: 2, 3, 5, 14489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 28459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the third derivative of -j**4\/12 + j**3\/3 + 24*j**2 - 21*j. Let v(z) = z**2 + 5*z. Let g be v(-6). Determine a(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 27630 and 62014.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -15 - -22?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 1:19 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1438*p**2 + 1534.\nAnswer: 2876*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 0.3, -3626, -0.38 in decreasing order.\nAnswer: 0.3, -1\/4, -0.38, -3626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -2*x**2\/17 - 31648*x\/17 - 1985886\/17 = 0.\nAnswer: -15761, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 24034456 (base 7) in base 10?\nAnswer: 2126494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*r - 5*s, 4*r - 13 = 2*s + 3. Suppose -v + 4 = 1. Sort r, 1, v.\nAnswer: 1, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/22553 and -49\/11362.\nAnswer: 13486694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 9960611264+5083\nAnswer: 9960616347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 15*(-1)\/260*4\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 462 - -25218?\nAnswer: 2567a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -906865296 divided by -6\nAnswer: 151144216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2373.7 + 2073.86. What is p rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 3  (b) 74  (c) 1561  (d) -5  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 - 93*p**2 - 659*p + 57. Determine g(-7).\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 24 = -2*y - 2*y, -4*b = -2*y - 12. Let c = -3 + -11. Let d = c + 21. Solve 0 = -y*h + d*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 6*(sqrt(171) + -2)*-1.\nAnswer: -18*sqrt(19) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -4*u - 2. Let o(r) = 9*r + 5. Let p(s) = 6*s + 20. Let h be p(5). Let v = h + -52. Give v*o(z) - 5*k(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 70128.\nAnswer: -35064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(50) + sqrt(200)\/(2*sqrt(4)))*-1)\/(sqrt(50)\/((sqrt(40)*-2)\/sqrt(8))).\nAnswer: 5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26835.\nAnswer: 3, 5, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 12:13 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 82431 and 1179?\nAnswer: 10798461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -78271, -156973, -235695, -314443, -393223?\nAnswer: -472041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 364815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 2*r**4 - 2*r**3 - 24*r**2 = 0?\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - -17. Let w = 2\/285 - -26497\/1140. Calculate the common denominator of r and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1061808160 rounded to the nearest one hundred thousand?\nAnswer: 1061800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62124 + -26695.\nAnswer: -88819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 73345 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2*a**3 - 180*a**2 + 1153*a + 94. What is p(-96)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.13 or -176?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 3*x**3 - 2*x**2 - 26*x + 2. Let y(b) = 1715*b**2 + 13*b**3 - 546*b**2 + 9 - 1178*b**2 - 103*b. Give 18*p(k) - 4*y(k).\nAnswer: 2*k**3 - 56*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6*(-4)\/8)\/(1032\/(-172)*1\/82).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18*x**3 - 27*x**2 - 129*x - 795059.\nAnswer: -54*x**2 - 54*x - 129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (12 - 4) + 23 + (9 - 26)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 4*l - 49. Let y(j) = j**2 - 19*j + 34. Let s be y(l). Let f = 26 - 2. Calculate the greatest common factor of f and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -496173*k - 14. Let u be f(-2). Suppose 46*m + 3678732 = u. Round m to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 712*x**2 + 8*x - 31. Let k = 286 + -283. Is l(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4609554965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4674908019?\nAnswer: 3, 83, 1301, 14431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/5 of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -362, -350, -324, -278, -206, -102, 40, 226?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 != 40\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 AM and 10:56 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 3*p + 5, -4*j - 4*p - 12 = -0*p. Suppose j*z + 4 + 0 = 0. Let c be 0\/(4*(-1)\/z). Put 2, 1, c in increasing order.\nAnswer: c, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4545747*h**3 - 6*h**2 + 15347057 wrt h.\nAnswer: -13637241*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-57)\/105*2 - (-2556)\/3195) + 40\/(-28).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1014305120 (base 6) to base 4\nAnswer: -220110100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 57342 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15017 + 15842. Sort 7, u, 3 in descending order.\nAnswer: u, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n, 1 k, and 1 x when four letters picked without replacement from nxxxnknknkkxnn.\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*o = -28*o + 12. List the prime factors of 198\/(o*15\/(-10)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26 + -12. Let h(s) = -32*s - 110. Let k be h(-19). Suppose -k*u = -504*u + 48. What is the remainder when d is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 234177 + 44?\nAnswer: 234243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56, 116, 178, 242, 308, 376?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of -7*c**5\/600 - c**4\/15 - c**3\/15 - 4*c**2 - 5*c. Let k(d) be the first derivative of u(d). Factor k(l).\nAnswer: -(l + 2)*(7*l + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1785683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (0 + 7 - 4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 1 - 1 + r**2 - r. Let x be ((-16)\/(-32))\/((-1)\/8). Let s(q) = -6*q**2 + 4*q + 3. Calculate x*u(n) - s(n).\nAnswer: 2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*j = -18*j + 12. Let y = 5.1 - 5. Which is the closest to y?  (a) j  (b) 4  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11211434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -528 - 802?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1357?\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -8\/7, -1\/33, 3?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/(-6))\/(146\/(-36) + 4). Let m be ((-12)\/v)\/(100\/(-39075)). Is m greater than or equal to 522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*c = 33*c + 273 + 33 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 62 - 56. Calculate the greatest common factor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 72 or 11558?\nAnswer: 11558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5959 and 7611?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from fcyihyiii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -291674*g. Let n(l) = 2*l - 2. Calculate f(n(h)).\nAnswer: -583348*h + 583348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82268 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7869 - -7828.11. Let n = q - -43. Round n to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 777 - 751. Let i(q) = -q**2 + 23*q + 90. Let f = 26 - 7. What is the remainder when f is divided by i(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 - 2*t**2 + 2*t - 1. Let v be z(-3). Let i be 6*(1\/v - 0). Let b = 2\/5881 - 5889\/23524. Put b, i, 0 in increasing order.\nAnswer: b, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2565, 1775, 971, 147, -703, -1585, -2505?\nAnswer: -3469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -3*f**5 + 2766*f**4\/7 + 127653*f**3\/7 + 114402*f**2 - 1839972*f\/7 - 588120\/7 = 0?\nAnswer: -29, -10, -2\/7, 2, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of o**2\/2 + 4*o + 6. Find the first derivative of y(a) wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = -4*w - 14, -47 + 71 = -5*w - 2*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 437684092 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 14*c**2 - 6*c - 6. Let d be b(1). Sort 5, -5, -34, -1, d in ascending order.\nAnswer: -34, -5, -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + j + 10 = -4*c, c = -2*j + 2. Solve -j*w + 2*w + 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -62 - -67. Suppose -w = q*i - 1123 - 768, -i + 359 = 5*w. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -72\/2275525 and -131\/390090.\nAnswer: 13653150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-96)\/448)\/(312\/(-123760))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5 - 2 - -1*2. Suppose 2*v - s = 5. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 22301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -5183822 not equal to -25919106\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 - 5*f**2 + 3*f + 3. Let m be k(-5). Let u be m\/9*(-15 - 0). Let g = 9 - 1. Calculate the highest common factor of u and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, k: 8}. Give prob of sequence pp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.5 and -12183.096.\nAnswer: -12183.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18248202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-7 + 5 + 3 - 0) + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**4 + j**4 + j**5 + (-j**3 + 1 - 1)*(0*j**2 - 2*j**2 - j**2) + 2*j**5 + 3*j**2 - 3*j**2.\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, d: 1, n: 2, m: 1}. Give prob of sequence dd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 - 3*x**2 + 4*x + 3. Let k be s(-4). Solve -5*y = 15, 0 = 4*h - h - 2*y + k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4301*r**3*u - 328*r**2*u - 6684716*u wrt r?\nAnswer: 12903*r**2*u - 656*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 - 1249138*y - 9993168. Calculate d(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 946 and 516.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence znn when three letters picked without replacement from {z: 3, n: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of r**4\/48 + 5*r**3\/6 - 69*r**2\/8 - 227*r. What is m in q(m) = 0?\nAnswer: -23, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m - 9*m = 600. Suppose 7*v + 16 - m = 0. Suppose 3*t - 99 = -4*q, 0*q - 3*q = t - 68. Calculate the remainder when q is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -8*k**3 + 131*k**2 + k. Let u(o) = 46*o**3 - 782*o**2 - 6*o. Determine -34*s(m) - 6*u(m).\nAnswer: -4*m**3 + 238*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes after 10:24 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g - 4*t + 98 - 1462, 4*t = 2*g + 676. Let z = 269 - g. Suppose z + 582 = 3*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 AM and 2:20 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 6*c**3 - 155*c**2 + 27*c + 1. What is the units digit of q(26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 277624 is divided by 1218.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 83 = 3*q - 3*q + 13*p, 0 = -4*q - 2*p + 5*p - 167 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*f*v**2*w + 7804*f*v*w + 5*f*v + f - 5097*v**2*w - 2*v*w + 3*w - 4 with respect to f.\nAnswer: 6*v**2*w + 7804*v*w + 5*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 650520 - -215?\nAnswer: 650735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-10)\/75)\/((-2)\/6). Which is the nearest to -1?  (a) -78  (b) 0  (c) 2\/3  (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 8, z: 5, n: 5}. What is prob of sequence nz?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -574 + c + 574 as t*c + o and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + -11000210002020?\nAnswer: -11000210002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 473641099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -6082*x**3 + x**2 + 81*x + 80. List the prime factors of w(-1).\nAnswer: 2, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2. Let p(v) be the first derivative of -4*v**2 + 13. Calculate k(p(i)).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v + 30 + 22. Suppose -v + 6 = 2*o. Let x = o + 125. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qxzxzqzwaxwkxxz. What is prob of sequence qkww?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**1)**45*(y**(-2\/29)\/y)\/(y\/(y*(y**(-10)*y)\/y)) assuming y is positive.\nAnswer: y**(984\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 8. Suppose 0 = v - w, 3*v = -3*x - 4 + 73. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 4, s: 7}. What is prob of sequence ssj?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -165, -328, -491?\n\"Answer: -163*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-115)\/280 - (-88)\/704. What is the closest to 3\/2 in -1\/2, -12.42, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 750.1 + -750. Let h = 3.4 - 3. What is the nearest to -1 in h, 23, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 105656 and 1489300.\nAnswer: 139994200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 6:54 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 25162069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 - 7*x + 1. Let w be y(6). Let t be (-6)\/w*(-15)\/(-6). Sort t, -2, -3, -23 in descending order.\nAnswer: t, -2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h - 3. Let j be o(10). Find the first derivative of -8 + 2 - 6 + j*u**3 - 6 wrt u.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of -1\/6*f**4 + 0 + 4*f**2 + 0*f + 0*f**3. Let t(r) = -3*r**2. Let a(y) = -4*y**2. Let m(z) = 2*a(z) - 3*t(z). Give q(m(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 149039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gtgtgttttgt. Give prob of picking 2 g and 1 t.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 - 6*q**2 - 62*q - 149140000. Let y be a(0). Round y to the nearest one million.\nAnswer: -149000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9936528mg to grams.\nAnswer: 0.0009936528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 5*f = 8 + 2, 0 = 5*j + 4*f + 8. Let c be 2\/((-8)\/(-12) - j). Suppose -c*y + 21 = 4*x - 6, -4*x = -3*y + 51. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 95.6 or 2\/7?\nAnswer: 95.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 20 + -13. Calculate the smallest common multiple of 9 and c.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 472 >= -410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1202132 + -30?\nAnswer: 1202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.3 - 3.7. Let w = c - 0. Let f = 49.1 + -49.2. What is the closest to -2\/3 in w, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -63273 (base 11) to base 5\nAnswer: -10422121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 13e (base 16) in base 8?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -67 divided by -53234\nAnswer: 67\/53234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 106332.\nAnswer: 2, 3, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 416 - 96 = 4*s, s + 343 = 2*q. Let l = q + -45. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 - 2*y - 6. Let f be 182\/(-28) - (-1)\/(-2). Let i = f + 12. Calculate the remainder when j(i) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g - 4*g - g)*(1 - 1 - 2)*(-2*g**2 + 3*g**2 - 3*g**2).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 79872?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 237956 >= 237556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 81, 413, 967, 1743?\n\"Answer: 111*z**2 - z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 59, 0.3, -4, -3.7 in decreasing order.\nAnswer: 59, 0.3, -3.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 - -14.1. Let n = -444 - -447. Which is the fourth smallest value?  (a) -0.4  (b) y  (c) -2\/9  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 4 = -2*l. Let r(m) = -4 + 0 + 1 + 1 + 2*m. Is 4 a factor of r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -33*m**2 + 5*m - 9. Let x(r) = 8*r**2 - r + 2. Let p(n) = 2*v(n) + 9*x(n). What is the units digit of p(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2098, 1918, 1440, 520, -986, -3222, -6332?\nAnswer: -10460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 334*u - 667*u + 334*u. Let p(x) = -98*x**2 - 2*x. Give p(b(q)).\nAnswer: -98*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 58.8, -21, -4\/11, -0.4, 55 in decreasing order.\nAnswer: 58.8, 55, -4\/11, -0.4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2 - 5*w - 22. Let n be m(0). Let d be (n\/(-18) - 1)*9. Solve -d*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7505076, 6\/7, 0.3.\nAnswer: 0.3, 6\/7, 7505076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64324.\nAnswer: 2, 13, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98247 is divided by 95124.\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -114*c - 4127. What is r(-36)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0933926 years to decades.\nAnswer: 0.00933926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 590.85 * 5\nAnswer: 2954.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + (-22 - -10) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 74941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2654 - 3108404?\nAnswer: -3108403.7346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 109924660 divided by -1.\nAnswer: -109924660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81 divided by 61.\nAnswer: -81\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/112691?\nAnswer: 2\/112691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 38.46147 to 1 decimal place.\nAnswer: 38.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(-3))**(-39)\/((c*c*c**(-8))\/(c*c*c**(2\/3))))**(2\/91) assuming c is positive.\nAnswer: c**(-68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4527, 1, -5 in increasing order.\nAnswer: -4527, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -425*h**2 + 45818520*h - 12936960 = 0.\nAnswer: 24\/85, 107808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 169895 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-4) - (-18)\/8. Suppose -1 = h*o - 5. Solve 2*t + 11 = l, -2*t - o*l - 1 = -5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (0 + 5 + sqrt(891) + 0 + sqrt(891) + -3*(sqrt(891) + 1)*6)*-3.\nAnswer: 38 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x + 7. Let a = 3 + -2. Let u be (-1 + -1)\/(1\/a). Let y be (u + 1 + -4)*-1. Give c(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 32*f. Let l(h) = -h. Calculate l(p(d)).\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + 4 - (1 + -3). Let o be 1\/3 + (-35)\/(-21). Suppose 0*s - c*y - 30 = -o*s, -3 = -3*s - 3*y. Solve -s*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/1140566 and -51\/64?\nAnswer: 36498112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -62?  (a) -2\/23  (b) -2\/9  (c) -2  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -801345.55?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6.6 + 2.3. Let b = v + -1.7. Let k = 1 + b. What is the second smallest value in k, -2, -3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2721173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*x + 106*x + 52 - 59*x.\nAnswer: -x + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 115140315 (base 6) to base 7\nAnswer: 24515141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 3. Let m(l) be the first derivative of -l**4\/2 + l**3\/3 + 3*l**2\/2 - 3*l - 134. Determine m(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/q**(-2)*q*q))**(-1\/3)*(q**(-3)\/q)**(-3\/4) assuming q is positive.\nAnswer: q**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -479*p = -668*p + 4158 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of -2*m**3\/3 + 5. Let w(h) = -6*h - 2*h - h + 3*h. Give y(w(j)).\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 AM and 10:58 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/184 and -5\/1074284.\nAnswer: 2148568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 24299 = -3*l, 0 = -85*b + 87*b - 2*l - 48654. What are the prime factors of b?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 66742826?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3 - 135188*o**5 + 108*o**2 - 133*o**4 - 3 + 135186*o**5 wrt o?\nAnswer: -120*o**2 - 3192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 3 = -1. Let z be m\/(4\/6) + 2. Suppose 0*s = z*s - 25. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of k**5\/20 + k**2. Let c(a) = a + 5. Let j(f) = 4 + 2 - 9 + 1. Let d(l) = -2*c(l) - 5*j(l). Calculate m(d(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (-22 - (1 - 19))*(259774\/8)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ihjqyoh. Give prob of sequence ohiq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5061 + -2446. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*d*l*z**2 - 14*d*l*z + 2*d*l + 353*d*z**4 - 1369*d*z**2 + 19*l - 1192*z wrt z.\nAnswer: -4*d*l + 4236*d*z**2 - 2738*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nneneeententetee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2\/5)\/y)**(-2\/29)\/(((y\/y**(-3))\/y)\/((y*y**0*y*y)\/y))*(y\/y**(1\/4))**41\/((y\/(y\/y**(2\/5)*y))\/y)**10 assuming y is positive.\nAnswer: y**(26591\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 2637 = q + 2633 + 2630 - 7865, 0 = -4*q - 104 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -49 by -4485.\nAnswer: 49\/4485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*5*(2*(2 + -2*sqrt(17)))**2 - -1*(5 + -5 + -1 + sqrt(425)).\nAnswer: -5761 + 645*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-33)\/(-21))\/(44\/(-308)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 89921 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 15 + 65. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - a - 2*a - 2 = 0, 0 = 4*f + 4*a. Suppose 5*u - 4*z + 88 + 27 = 0, 10 = -f*z. What are the prime factors of (-110)\/(-9) + 6\/u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 - 7. Calculate the smallest common multiple of 2\/(3\/(-24)*-4) and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -1618*z**2 + z + 9 - 5 + 1597*z**2 in the form j*z + q + y*z**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -4*y - 2*p + 37, -5*y - 4*p = -52. Suppose -2*c + 7*c - 4 = -4*x, -2*x - y = -c. Calculate the smallest common multiple of c and 74.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2166348, 2166347, 2166342, 2166333?\nAnswer: 2166320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*b - 36 + 32 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11, 39, 81, 137, 207, 291?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13\/71 - 6267\/284. Find the common denominator of r and ((-25)\/10)\/(1\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3*o**3 + o. Let m(n) = -2*n**3 - n**2. Let d(i) = -2*m(i) + 2*t(i). Let x(s) = 6*s**3 - 5*s**2 - 5*s. What is -8*d(v) - 3*x(v)?\nAnswer: -2*v**3 - v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95*i - 332970 = -125*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -303898 + 1.415.\nAnswer: -303896.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 5*n**2 + 5*n + 2. Let r be t(-1). What is the hundreds digit of (616\/196)\/(r\/406)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03067882 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 6 + 4*w)*(-29 + 1 - 3).\nAnswer: -124*w + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 + 16. Solve -x*h = -10, -b + h = 6*h - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/808?  (a) 3  (b) 2\/5  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 2*n**2 - 74*n + 853. Does 29 divide p(64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3 = 13. What is the greatest common divisor of z and 280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*y**2 - 23060*y.\nAnswer: -5*y*(y + 4612)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1963481941 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1037 and 2073022109.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 9*n**2. Let j(y) = -17*y**2 + 45*y - 4. Determine j(i(p)).\nAnswer: -1377*p**4 + 405*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1180 divided by -37835\nAnswer: -236\/7567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 AM and 1:00 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 2*j - 30 = 3*v, 4*v = -16. Suppose -2*x = 5*h - j, 6 = -5*x - 4*h + 3. What is the smallest value in -0.1, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -44, -54, -64, -74?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1235879 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -122 - -138. Sort h, -4, -0.3 in descending order.\nAnswer: h, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 1 + 1)*(-1 + 1 + 2*d) - d + 0*d - 2*d)*(-47*d**2 - 5301 + 5301) as b*d**2 + i*d**3 + o + q*d and give i.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1, 14, 31, 50, 71, 94, 119?\n\"Answer: f**2 + 12*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 - o**2 - o - 1. Let s(p) = -4*p**3 + 3*p**2 + p + 3. What is -3*f(c) - s(c)?\nAnswer: c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -903 = 9*q - 4044. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 105 + 888242.8?\nAnswer: 888347.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = f - 4. What is the greatest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 + 6*b + 1. Let x(w) = -3 + 6 - 3*w**2 + 12*w + 0. Let v(p) = 5*s(p) - 2*x(p). Suppose 3*f - 5 = 4*f. What is v(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/(-7) + 7\/(-21). Let s = -28033 - -6475577\/231. Let t = s + l. Do -1 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13102 + 1202352?\nAnswer: 1215454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {w: 1, n: 3, t: 2, a: 2, g: 6, o: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange (34*h**2 - 97*h**4 - 6*h**3 + 11*h**3 + 98*h**4)*(-1 - 2 + 0) to the form b*h**2 + p*h**4 + m*h**3 + v*h + r and give b.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -332*z + 337*z + 5. Which is greater: -1\/25 or z?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8427067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1809 = 932*v - 681*v + 3211 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = 12*k - 49 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**2 + b**2 + b**3)*(-2*b**2 + 5*b**2 - 2*b**2) + 19*b**5 + 39*b**5 + 49*b**5.\nAnswer: 108*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w = -2*x + 20, -x - 12501*w + 12496*w + 31 = 0 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 1 = 3*a, -5*a = -2 - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 353966 (base 12) in base 9?\nAnswer: 1545186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes before 6:27 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 14*j**2 + j. Let a be t(1). Suppose 3*c + 6 = a. Factor -c - 2*i**4 + 2*i**5 - i**3 + 3 - 3*i**5.\nAnswer: -i**3*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 4:10 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 218467407 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -4*m - 15 + 43, -27 = -5*q - m. Suppose 2*h = -4*r - h + 418, 0 = 4*r + q*h - 414. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -56*u**5 - 34*u**2?\nAnswer: -3360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 + 8 + 0)*(4*u + 2*u - 4*u) + 4*u + 0*u + u)*(-82*u + 30 - 30).\nAnswer: -2214*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/y**(-2\/41)*y*(y\/((y*y\/(y**(-12)*y))\/y))\/y assuming y is positive.\nAnswer: y**(-408\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 + 3*u**2 + 5*u - 7. Let p be o(5). Let i = p - -58. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 105 - 105.1. Which is the fourth smallest value?  (a) 1\/6  (b) 4  (c) 0.2  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 990\/244499 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03266442755 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 244*x**2 + 14526784\/3 + 1\/3*x**3 + 59536*x = 0.\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 + 0 - -2) + -9. Let q(h) = -h + 4*h + 4*h - 6*h. Let f be ((-1)\/2)\/(2\/(-8)). Let j(n) = 4*n + 1. What is f*j(x) + v*q(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 150445 (base 9) to base 15\nAnswer: 1c4ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*l - 1196*o = -1200*o - 209 - 94, l - 4*l - 299 = 4*o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 - 1)*(4*c - 15*c - 9*c)*(c + 1 - 1 + (c - 3 + 3)*(5 + 0 - 3) + 4*c + 7*c - 4*c).\nAnswer: 400*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 3137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*t = -38*t - 5*v + 22, 0 = t + 11*v + 2 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of 0 - 8\/3*t**3 - 1\/40*t**6 + 3\/8*t**4 + 0*t**5 + 2*t**2 - 20*t. Find the first derivative of b(h) wrt h.\nAnswer: -9*h**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 979 or 1957\/2?\nAnswer: 979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a milligram in micrograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l - 3. Let d be q(-5). Suppose d*v = 7*v + 10. Is -27 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 109006, 218095, 327184?\n\"Answer: 109089*u - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*o**3*x**4 - 41*o**3*x**3 - 3*o**3 - o*x - 3*x wrt x.\nAnswer: 48*o**3*x**2 - 246*o**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 158 - ((-1 - 3 - -6) + -2). Let v(h) = -h**2 - h + 13. Let r be v(0). Find the second derivative of r*y - 5*y**3 + 158*y**2 - d*y**2 wrt y.\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -4*n**2 - n**3 + n + 1 + n - 3*n + 0*n. Is t(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 10*p - 24490. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) -359  (c) 5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.24367 + -175687.\nAnswer: -175687.24367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjjq when four letters picked without replacement from vhjjjjvqjrhv.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, 1, 286 in descending order.\nAnswer: 286, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.824056 hours to microseconds.\nAnswer: 28166601600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from 69850.\nAnswer: 69855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 greater than -5\/10341659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 4*b - 5*s - 204, -5*s = -b + 51. Let k be 6\/b + 0 + (-3585)\/(-17). Let c = k - 106. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4019055.\nAnswer: 3, 5, 17, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 414*d - 32. List the prime factors of a(1).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000319245174 to seven decimal places.\nAnswer: -0.0003192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -115041 divided by -31.\nAnswer: 3711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 14*x**2 - 15*x - 1. Is n(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 - 18*d + 7 + 5682*d**3 - 5666*d**3 as a*d**2 + r*d**3 + b + v*d and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-36)\/(-24))\/((62\/60)\/(-31))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1098328164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 11*p**3 - 77*p**2 + 2*p - 8. Give b(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 174202108 to the nearest 100000.\nAnswer: 174200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 474  (b) 6  (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5837?  (a) -1\/4  (b) -4  (c) 3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -7, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20 - 1674\/(-81))*(-99)\/24?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 4*x**3 + x**2 - 2*x + 1. Let w be y(3). Let v be (-20)\/(-6)*(-45)\/(-25). Suppose -2*p = -v*p + 64. Calculate the greatest common factor of w and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -5*f + 250, -4*j + 118 = 2*f + 36. Suppose 15 = -2*z + f. Solve -22 = -4*u + 3*d, -2*d - z = -2*u - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16 - -20. Suppose -u*c = 1 + 15. Let i(r) = -r**2 - 2*r. Let j(b) = -b**2 - 2*b - 1. Let s(v) = -3*i(v) + 2*j(v). Calculate s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of -3*z**5\/10 - z**4\/8 - z**3 - 5*z**2. Let j(s) be the first derivative of n(s). What is the units digit of j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 - -12. Let b be (r - (5 - 3))*-97. Suppose -8 = 5*f + y - b, -15 = -f - 3*y. What is the remainder when f is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 45.9 - 49.9. Put -3, w, 44, -2 in descending order.\nAnswer: 44, -2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 218 a factor of 355715178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 - -37205814990.\nAnswer: 37205814989.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17689 + -17693.085. What is k rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -14\/15, 5.2, -5, 2?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, t: 1, e: 1, b: 2, s: 12, n: 1}. What is prob of sequence sin?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*p + 4*p - p)*(-p**2 + 4*p**2 - 2*p**2) + 6*p**3 - 2*p**3 - 3*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(154)\/(sqrt(847) + sqrt(847)*3 - sqrt(7)))\/((sqrt(891)*-2 - sqrt(891) - sqrt(891))*-6 - sqrt(891)).\nAnswer: sqrt(2)\/8901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2430, 2831, 3232?\nAnswer: 3633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-5)*a*a**6*a)**(-5)*(((a*a\/(a**(-7)*a))\/a)\/(a**9*a))**(1\/3) assuming a is positive.\nAnswer: a**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qs when two letters picked without replacement from ksbbqqbbsszbssp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 54533986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -0*h + 2*h. Suppose -18*y = 11 - 101. Sort y, h, -3.\nAnswer: -3, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -32390 + 32389.6. Let p = 19 - 8. Let x = p - 7. Which is smaller: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63952 is divided by 123.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(95) - (sqrt(95) - sqrt(95)*2))*-3)\/(sqrt(15)\/sqrt(3)*4).\nAnswer: 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 2*x - 7*x + 10223 = 0, 3*s - 3*x - 15345 = 0. What are the prime factors of s?\nAnswer: 2, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(1\/5)*j)\/j**3*j*j\/j**5*j**5\/j)**(9\/8) assuming j is positive.\nAnswer: j**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 32 = w - 43, -3*w + 5*m = -61 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1062547, -2125198, -3187849?\n\"Answer: -1062651*g + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 56 = 14. Suppose 7*l + s = 2*l + 5*k, -l = 4*k - 18. Let x be (3\/(-6))\/(-1)*l. Which is bigger: x or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3163857*u + 12661508*u + 5263412*u.\nAnswer: 14761063*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 682308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 192081\/14 + -13720. What is the second biggest value in -5\/6, -8, c?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/5)\/((-18)\/135). Let r(v) = 7*v + 2. Let a(z) = 20*z + 5. Let m(l) = f*a(l) - 17*r(l). What is m(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 1463618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 5607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80*x**2 + 80*x**2 + 669 - 682 + 13*x**3.\nAnswer: 13*x**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.33, 2, 1\/5, 3\/4?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w + 589. Let r(h) = h - 588. Calculate -7*m(z) - 6*r(z).\nAnswer: z - 595","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 2*m**3 - 9*m**2 + 4*m + 2. Let s be u(4). Find the second derivative of -83 + 11*f + 2*f - f**s - 25*f**4 + 168 - 88 wrt f.\nAnswer: -300*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 12:39 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 1. Suppose 0 = -12*h + 2 + 22. Let l be (h\/6)\/(14\/126). Solve -o - l = v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1063 to the nearest 10.\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - l + 5*l = -25, 0 = -5*m + 5*l + 20. Is (m\/1)\/(2\/(-46)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of -21*t**4\/2 + t**3\/3 - t - 1. Let m be g(-1). Let j = m - 38. Solve 3*a + j*r = 8, -a - 3*r + r = -6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 - -5. Let h(s) = 10*s**2 - s. Let w be h(g). Let c = w - 5. Put 2, -6, c in ascending order.\nAnswer: -6, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6847 divided by 41\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -24*s**2 - 66932*s - 55760 = 0.\nAnswer: -2788, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(24)*1)\/(sqrt(56)\/(sqrt(7)*-1) - sqrt(8)) + ((sqrt(108) + 2*sqrt(108))*4)**2 + (sqrt(48)\/(sqrt(4)*2))**2.\nAnswer: -sqrt(3) + 15555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 77764 by 1.\nAnswer: 77764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -0.091, -77.\nAnswer: -77, -0.2, -0.091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/16 + (-11869)\/3960*-5. Is 15 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1289.2954 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 12) to base 5\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2211 + 10010201120222?\nAnswer: 10010201200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 331336494*i**3*s - 899692738*i**3 with respect to s.\nAnswer: 331336494*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5327.\nAnswer: 7, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 884, 878, 876, 884, 908, 954, 1028, 1136?\n\"Answer: j**3 - 4*j**2 - j + 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2\/3, 4, 1.1, -1 in descending order.\nAnswer: 4, 1.1, 2\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6296.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1324, 10137, 34042, 80581, 157296, 271729?\nAnswer: 431422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -11*u - 29. Let i be y(-2). Calculate the remainder when (357 - (i + 12)) + 4 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 + 13. Let f(m) = 2*m**q + 4 + 0*m - 3*m - 3*m**2. What is f(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 + 1 - 4 - 59*y**2 - 9.\nAnswer: -59*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = -4*r + 10, -635*r = -3*v - 633*r + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 118*x - 120*x - 3*f - 57, -3*x = 2*f + 43 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-1150)\/(-50) + -44?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 5*c + 49. Let s(x) = x + 12. Determine 2*p(d) - 9*s(d).\nAnswer: d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23177?\nAnswer: 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 - 7*v**5)*(-2 - 1 + 5).\nAnswer: -14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 18 = -3*i, -4*x - 33 = 2*x + 3*i. Let q = 3.9 + 0.1. Let k = q - 9. What is the second smallest value in x, 11, -0.2, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3\/3 - 142*r**2\/3 + 148*r\/3 + 96.\nAnswer: -2*(r - 2)*(r + 1)*(r + 72)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 - 13*x - 12. Let h be q(-13). Let i be (23 - -3)\/(8\/h). List the prime factors of (-1125)\/i - 2\/(-13).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -261, -260, -259, -258?\n\"Answer: k - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-2)*(-2808)\/39*2\/28.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 21\/8 of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -98 at least -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4 less than 2012\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 125811 by -1.\nAnswer: -125811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*l - 6*l - 371 = 4*a - 8*l, 4*a - 6 = 3*l - 37 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 24 = -2*j, 12 = -j + 5*u + 34 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -2, 3, 12 in descending order.\nAnswer: 12, 5, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/(-3) + (-6)\/(-10). Let j = -1.09 + 0.09. Let v be (-1)\/2 + (-9)\/30. Put j, v, y in decreasing order.\nAnswer: y, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -2*x**3 - x**2 - 2*x - 2. Let f be j(-1). Let q be (-5)\/(-107)*4\/(-10). Which is greater: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 26 - 28 = 2*p, 4*p - 6 = q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 4*a = 14621, y + 2*a = 13715 + 898. List the prime factors of y.\nAnswer: 5, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -8, -3\/287, -0.4, 4, -1\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/((i\/(i\/(i\/(i*i*(i\/(i**(-1\/4)\/i))\/i))))\/i)*i)**(2\/23)*i**(3\/5)\/(i\/((((i*i*i**(2\/9)*i)\/i)\/i)\/i)))**(2\/21) assuming i is positive.\nAnswer: i**(577\/21735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 35bc33 (base 14) in base 4?\nAnswer: 13000300311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - (21 - -35)) + (160 - 198).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 47*p**2 + 4*p**4 - 93*p**2 + 51*p**2 + (4 - 4 + 2*p)*(0*p**3 - 2*p**3 - 2*p**3).\nAnswer: -4*p**4 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37597 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 3*k = -1053 - 1367, -1452 = -3*z - 3*k. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**3 - 236*a**2 - 2208*a - 4608.\nAnswer: -4*(a + 3)*(a + 8)*(a + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 855, -3, -0.565717?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 11*d - 5. Let j be w(4). Let f = j + -37. What is the second derivative of -5*l + 24*l**2 - 2*l**5 - 11*l**5 - 24*l**f wrt l?\nAnswer: -260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*y + 5. Let r = 1.8 + -0.8. Which is the closest to r?  (a) 1  (b) y  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5, 141, 132 in ascending order.\nAnswer: -5, 5, 132, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.47 + -0.53. Which is smaller: t or 2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -40*i**5 - 410*i**4 + 69385*i**3 - 152140*i**2 - 170775*i + 51120 = 0.\nAnswer: -48, -1, 1\/4, 3, 71\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*r - 1 + 1)*(-2 - 4 + 3) + 3 - 3 + 2*r + (-109*r - 15*r - 51*r)*(2 - 1 - 2) to d + t*r and give t.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3361715 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1978358*19\nAnswer: 37588802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n + 11*n**2 + 3*n)*(2 + 3*n - 2).\nAnswer: 33*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -1\/4, 26, 5\/2, -9\/29 in ascending order.\nAnswer: -9\/29, -1\/4, 5\/2, 12, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3713\/48 + 475\/6. Let r be 12\/42 - (-467352)\/(-1637055). Let t = r + -202947\/1143340. Find the common denominator of t and j.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.04 in 2, -3, 13\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7.7, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -18267*0.1527\nAnswer: -2789.3709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 71 - 69. Suppose -5*c = 4*s + 14, 2*c + k*c = -5*s - 13. Let f(x) = -4*x - 1. Give f(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 924 and 4092.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -32*q**3 - 2*q**2 + 1. Let c be g(-1). What is the greatest common factor of c and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 2, -62*l - 262 = -2*h - 60*l. Suppose -152 = -0*z - z. Let u = z - h. Is 21 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 86*f + 3 - 85*f + 3*f**3 - 5*f**2 - 5*f**3 as q*f**3 + n + y*f**2 + l*f and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**34\/v**(-36))**18)**(-1\/5) assuming v is positive.\nAnswer: v**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z**5 - 280*z**4 - 4900*z**3 = 0. Calculate z.\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*r + 14*r = 0. Suppose 0 = h + 1 - r. What is the third biggest value in 4, -2\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 25. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 PM and 6:30 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -8, 1, -1, 6 in descending order.\nAnswer: 6, 1, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k - 18. Let j be (-1)\/1 + (-3 - 2). What is the smallest common multiple of d(-10) and (60\/(-9))\/(2\/j)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -2*h + 13. What is the highest common divisor of 10 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-643857)\/162)\/((-10)\/15). Let g = f - 5964. What is the common denominator of 1035\/2530 + (1 - -1) and g?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6550.037 millilitres in litres?\nAnswer: 6.550037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l**2 + l**2 - l**2)*(-2*l**2 + 0*l**2 + 4*l**2) + 220325*l - 220325*l - 1096*l**4 + (0*l**2 + l**3 + 0*l**2 - 3*l)*(3*l - 4*l + 0*l).\nAnswer: -1099*l**4 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 30\/4*128\/12. Is 1*-35*(-64)\/i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*v + 75 = 5*a, 5*v - 96*a = -99*a - 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -123452369 divided by -2.\nAnswer: 123452369\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*1292001.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 8*f**3 + 5*f**2 - 9*f - 1. Let u(j) = -1. Let b(v) = -2*v**3 - v**2 + 2*v + 3. Let n(g) = b(g) + 3*u(g). Let t(i) = 9*n(i) + 2*x(i). Calculate t(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51 + 12*y - 47 - 4 + 34*y.\nAnswer: 46*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 223210100 + -1?\nAnswer: 223210033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5615*f + 7916*f - 10352*f)*(-3 + 3 - 1) to k + c*f and give c.\nAnswer: -3179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -117463 divided by 1900.\nAnswer: -117463\/1900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -0.5, 25.4, -4.\nAnswer: -4, -1, -0.5, 25.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 600.44245 - 40.\nAnswer: 560.44245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of m**7\/42 - m**6\/6 + m**5\/2 - 5*m**4\/6 + 5*m**3\/6 - m**2 + 103. Factor g(b).\nAnswer: 5*(b - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/((1 + -2)\/((-11)\/(-11))). Suppose 4*a = -o - 0 - 5, -5*o - 3*a - 8 = m. Let f be ((-1)\/20)\/((-6)\/(-15)). Which is greater: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/50)\/((-945288)\/(-103650))?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*g + 17*g + 8 = q, 5*q + 8 = -g. Let i(v) = v**3 + 13*v**2 - 15*v - 4. Let c be i(-14). Let a(r) = r + r - c*r. Determine a(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (53 + -2)) + -1 - (-56 + -62 + 128).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*y - 102*y - 5*i - 354 = 0, 0 = -2*y + 2*i + 36 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -2062471 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 0.4, -0.28, 7477?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -13. What is the least common multiple of h and -24*(2 + (-16)\/6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -5*h**3 - 2029035*h**2 - 4058055*h - 2029025 = 0?\nAnswer: -405805, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + 2. Suppose a*q = 6529 + 12035. Let h = -61823\/10 + q. Find the common denominator of 13\/11 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + (sqrt(1573) - (sqrt(1573) + -1))**2*-5 + (sqrt(65) - ((sqrt(65) - (2*sqrt(65)*5 + sqrt(65))) + sqrt(65)))\/(sqrt(10)\/(2*sqrt(2)) - sqrt(5))).\nAnswer: 4 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -4e7 (base 15) to base 4\nAnswer: -101131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3148 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**3 + 55933101*w**2 + 260709287656464*w - 260709343589568.\nAnswer: 3*(w - 1)*(w + 9322184)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 3*y - 73 = -y, -2192*y + 2240*y - 26 = 22 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from obobbbbbbb. What is prob of picking 4 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54, -95, -136, -177?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 2:14 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.9  (b) -5  (c) -3  (d) -0.2  (e) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 + 231020301110?\nAnswer: 231020301120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of 22*t**3\/3 - t**2\/2 + 3*t + 51. What is the second derivative of a(c) wrt c?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 463308011 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**2*m)**(-9\/4))**12 assuming m is positive.\nAnswer: m**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*i**2 - 2031*i + 5958 = 0 for i.\nAnswer: 3, 662\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.0143*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s**(-3\/4)*s*s*s*s**(2\/19)\/s*s*s**(-1)*s**(-3\/8)\/s assuming s is positive.\nAnswer: s**(149\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10.5, 2\/19, 4, -2 in decreasing order.\nAnswer: 10.5, 4, 2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - -1649803?\nAnswer: 1649801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6988355 - -105?\nAnswer: 6988460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (199144\/16 + 3)*(-40)\/(-35) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.005, 46\/3, 0.1, 0.4, -10\/3?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 + -4. Suppose s*x = -x + 55. What is the lowest common multiple of x and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*u = 48*u - 16275. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -110568.514 - -0.4687.\nAnswer: -110568.0453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -580 - -1106. Let f(z) = z**3 + 14*z**2 + z - 24. Let m be f(-7). Let x = i - m. What are the prime factors of x?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 - 10. Let u = m + 1.1. Let v = u + -1.1. Which is the closest to 0?  (a) 3  (b) v  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 + 3*l**2 - 4*l - 7. Let m be v(7). Let r be m\/14*648\/15. Suppose -25*n - r = -31*n. List the prime factors of n.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4599 and 4645428?\nAnswer: 97553988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 8*a**2 + 702*a + 614. Determine o(-86).\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -6524.162 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, r: 1}. Give prob of picking 2 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9421292*z + 1487851 wrt z.\nAnswer: 9421292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, 0, -0.0174?\nAnswer: -0.0174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -551 or -553?\nAnswer: -553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 + 5*s + 1. Let d = -5 + 10. Let r be w(d). Let h(j) = j**3 + 2*j**2 - 1. Let p be h(r). Sort 0, p, -2 in decreasing order.\nAnswer: p, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-10))\/(4716\/(-10480))*(-54)\/(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*t**4 - 7547*t**3 - 35192*t**2 wrt t.\nAnswer: 48*t - 45282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/7*(-4 - 2). Let b(x) be the second derivative of x**5\/20 - x**4\/6 - 5*x**3\/6 - 5*x**2\/2 - x. Is b(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of -433*j**6\/200 - 218*j**5\/25 - 89*j**4\/8 - 3*j**3\/5 + 313*j**2. Find g, given that n(g) = 0.\nAnswer: -1, -6\/433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*x = 6*x + 338*x - 1877240. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/39*(-54)\/27.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -11212110201 (base 3) in base 2?\nAnswer: -10111011001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {d: 1, g: 7, b: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 37 - 26. Suppose -4*b - 1 - 3 = 0, b = 5*q - u. What is the third derivative of 8*y**q + 6*y**2 - y**4 - 9*y**2 wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 7*d**2 - 3*d - 5. Suppose 0 = z + 3*m - 4, -z - z + 8 = m. Calculate the remainder when g(z) is divided by 11 + -4 + 10 - -7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 27*n*p**2 + 1019179*n - 233853406*p**2 wrt n?\nAnswer: 27*p**2 + 1019179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3869.82 - 3870. Sort x, 5, -2\/25 in increasing order.\nAnswer: x, -2\/25, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 189*r + 520 = 202*r. What is the lowest common multiple of 24 and r?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 - a + 2. Let s(r) = 4*r**4 - 84*r**3 + 211*r**2 + 21*r - 298. Let i(h) = -5*q(h) - s(h). Find w, given that i(w) = 0.\nAnswer: -1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-6))\/(68\/816).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 475227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(14\/(-6) + 2) + 71 + -22. What is the highest common factor of 11868 and y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, -24, -3824 in descending order.\nAnswer: -4, -5, -24, -3824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 93*i - 95*i = 17, -3*c - 5*i = -5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - -18714978726?\nAnswer: 18714978720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together -831.54 and 31361.2.\nAnswer: 30529.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 90 = -12*j - 4*c, -4*j + 36 = 8244*c - 8248*c for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4171*x**2 + 3263*x**2 - 2*x + 18807*x**2 + 2*x.\nAnswer: 26241*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y**3 - 7*y**3 + 17*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 757\/(-21953) + (-231)\/29.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/((-147)\/(-6)))\/((-8500)\/(-41650)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 49 and 2660.\nAnswer: 18620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 3*r**2 - r - 1. Let o be i(-1). Let s(g) = 98*g + 11. Is s(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18*z**2 + 223602891*z - 37267149.\nAnswer: 3*(z + 12422383)*(6*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 42384674 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + q = -3*g + 9, g - 1 = q. Which is smaller: g or 12\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -33*o**2 - 938445315*o + 170626422.\nAnswer: -3*(o + 28437737)*(11*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2133.3118 rounded to 0 decimal places?\nAnswer: -2133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**1\/c**(2\/17)*(c*c**(4\/9)*c*c)\/(((c*c**6*c*c)\/c)\/c) assuming c is positive.\nAnswer: c**(-409\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1572*a - 727*a**2 + 2024*a**3 - 1572*a + 727*a**2 + 1 to b*a + c*a**3 + s*a**2 + o and give c.\nAnswer: 2024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 30334, 60755, 91176, 121597, 152018?\n\"Answer: 30421*y - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4096100 or 4096094?\nAnswer: 4096094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 521\/5 less than or equal to 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1d6d0 - 16?\nAnswer: 1d6b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - c0475b?\nAnswer: -c04756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12804505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -233*x + 1383 = -481 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-2*sqrt(76))\/(1*sqrt(4)*2).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2150424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 55 - 17)*(-2 + 6 + 2*t**2 + 2)*(0*t**2 + 3*t**2 - 4*t**2).\nAnswer: 142*t**4 + 426*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s**2 - 5*s - 4. Let r be i(-2). Suppose 0 = r*h - 10*h - 556. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a meter in millimeters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -89318 (base 10) to base 5.\nAnswer: -10324233","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is 924\/(-308)*((-1 - -4) + (-220)\/(-30))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22499304 divided by -31.\nAnswer: -725784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = -4*i + 2*l + 580, -5 = l. Round i to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 990521775?\nAnswer: 3, 5, 19, 231701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14 and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8.7 - 9. Which is the closest to 0?  (a) 4  (b) 0.7  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 40915 + -22254. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5852 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-1\/6)*y*y*y*y*y)\/(y*y**4*y)*((y*y**(1\/4))\/y)**(-16\/7))**(-18) assuming y is positive.\nAnswer: y**(93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(363))*-2)**2 - (sqrt(1323) - (-3*sqrt(1323) + sqrt(1323)))\/sqrt(9).\nAnswer: -285*sqrt(3) + 1488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-3 + (-6843)\/(-2283)). Suppose -4*h + 1552 = 4*g, -2*h - 9*g = -4*g - j. Calculate the remainder when h is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 186 = -46. What is the highest common divisor of 29 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 362089?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3170127134 to the power of 1\/2, to the nearest integer?\nAnswer: 56304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = z, o - 8*z = -4*z + 55. Let k = 76 - o. Suppose 4*t - 6*t + 70 = 0. What is the remainder when t is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (6*((sqrt(147) - sqrt(147)*2) + 4) - (0 + (sqrt(147) - sqrt(147)*-2) + sqrt(147)*-3 + -2))*6)**2.\nAnswer: -77616*sqrt(3) + 214228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, 0.3, 4, 9, -333?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + r = -8. Put r, -3, 3 in ascending order.\nAnswer: -3, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -17*p*t**2*w + 7*p*t**2 + p*t*w - 39*p*t + 16*p*w**2 - 2*p - 4*t**2 wrt w?\nAnswer: -17*p*t**2 + p*t + 32*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 431*g + 8075. What is the thousands digit of z(75)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z - 7. Let j be q(-8). Suppose 0 = -n + 1 + j. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 50, -2\/19, 1, 1\/4.\nAnswer: -2\/19, 1\/4, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -2269 greater than or equal to -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 15*q**3 - 2*q**2 - q. Let y be k(-1). Let f = 238 - 230. Let x be (-6)\/21 + f\/(-21). Which is the biggest value?  (a) x  (b) 1\/9  (c) -3  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uujwujwwwjwwj. Give prob of picking 2 w.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 6*u + 2951 - 861 = 0. Solve -206*p + u*p + 12 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110110011100010010 + 11?\nAnswer: -110110011100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 29690 - 29674 - (69 - -2 - 0)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5277497358.\nAnswer: 2, 3, 7, 125654699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 55 - 21. Let t(d) = -d + 0*d - 4*d + y*d. Let j(x) = -2*x. Determine t(j(l)).\nAnswer: -58*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - 101000111?\nAnswer: -101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 6*j**2 - 5 - 3*j**2)*(14 - 12 + 12)*(17 - 34 - 30).\nAnswer: -1974*j**2 + 1316","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -14. Let r be (-12)\/(-20) + x\/(-10). Let v(h) = 2*h**2 + 0 + r - h + 2*h**3. Determine v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -3*h. Let w be 2\/(-4)*4\/1. Let d = 7 - w. Calculate the remainder when d is divided by b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 41145 = 9*t - 5*g, t = 2*g + 8230. Is t a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 57999.6 - 50034. Round g to the nearest one hundred.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 967691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 36*p + 133146*p**2 - 3 - 133151*p**2 + 34*p.\nAnswer: -5*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10941 + 19022. What are the prime factors of w?\nAnswer: 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11\/5 in -4, -1\/3, 0.23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 8903568 and 277022.17?\nAnswer: 8626545.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of l**7\/1155 - 8*l**6\/165 + 15*l**2 - 18. Factor s(t).\nAnswer: 2*t**3*(t - 32)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10979\/3 - -3660. Find u, given that g*u**3 - 2\/3 + 0*u**2 - u = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-14))\/(30\/(-40))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1994 - 1789.2. Let k = -189 + l. Let n = -14.83 + k. What is n rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -4*d**3 - 2*d**2 - 7. Suppose -3*j - 3*y + 9 = 0, 5*y - 7 = 4*j - 5*j. Let m(a) = 4*a**3 - j - 5*a**3 + 1. Determine l(v) - 5*m(v).\nAnswer: v**3 - 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6703224 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 946128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n**(-6)\/n))**44 assuming n is positive.\nAnswer: n**352","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 5*k - 3*j, -5*k + 4*j - 6*j = -23. Let z = k - 0. What is the units digit of z*2 - (-4 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 198\/33*((-15)\/3175)\/((-1)\/((-20)\/(-36)))?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 124\/310 + 1866\/210 + -9. Solve 0 + 6\/7*o - p*o**2 = 0 for o.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 12 = 4*n - 17, 4*n - 4 = 0. Differentiate c*x**3 + 2*x**3 + 0*x**3 + 7 with respect to x.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + 11. Let i = t - 15. Let q = -62 - -436\/7. Put i, 2, q in decreasing order.\nAnswer: 2, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c**4\/5 - 39*c**3\/5 - 299*c**2\/5 + 255*c = 0. Calculate c.\nAnswer: -25, -17, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**2 - 9186340*n.\nAnswer: -5*n*(n + 1837268)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -469*b**2 - 15*b + 23. Let h(q) = 313*q**2 + 10*q - 15. Let f(l) = 8*h(l) + 5*j(l). Is f(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -546 - -899. Suppose 0 = -7*h + 1110 + u. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -4*i**2. Let g(b) be the first derivative of b**6\/30 - 43*b**3\/3 - 21. Let d(m) be the third derivative of g(m). What is v(d(y))?\nAnswer: -576*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 235724 is divided by 235228.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -3  (b) 0  (c) 3\/4  (d) 7.7  (e) -248\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 689 is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1414*i**2 + 376 with respect to i.\nAnswer: -2828*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1812 + 6*z + 15*z + 6467 - 2823 - 1832.\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -2, 9, 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 99, 88, 75, 60?\n\"Answer: -n**2 - 8*n + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 50, 5, -36 in increasing order.\nAnswer: -36, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 914\/(-5) + 2\/(-10). Let u be o\/(-21) + 2\/7. Suppose 3*m + 24 = 3*l - u, -l + 4*m = -14. Calculate the highest common divisor of 90 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a + a + a + 2*a**2. What is the units digit of w(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1296 and 10.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q, 1 k, and 1 m when four letters picked without replacement from qmmmmqmmqkqmqmmqm?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.7 and 5394.\nAnswer: -3775.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44410 is divided by 11071?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -689, -1359, -2029?\n\"Answer: -670*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18870 = 14*f - 16*f. Suppose -2*h - 3*h = f. Let q = h + 1187. Round q to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 25*w + 1. Let z be o(1). Suppose -27 + z = -k. Let u = k + 9. Solve -u = 2*g - 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104.2 rounded to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -180 smaller than -179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -7.00066. What is u rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-16)\/56*(-7)\/5 + 15246\/(-44590) and 107\/14?\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bbbbbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1200144 - -313?\nAnswer: -1144331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2. Let q(b) = -201*b - 35. Give m(q(j)).\nAnswer: 40401*j**2 + 14070*j + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 807 and 1623306?\nAnswer: 436669314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -5*q**3 + 2*q**2 + 2*q - 3. Let o(h) be the second derivative of h**5\/20 - h**3\/6 + h**2\/2 + 3*h. Determine -3*o(c) - p(c).\nAnswer: 2*c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 205d + ab96?\nAnswer: cc15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 58.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100001100 + -100101001001011100?\nAnswer: -100100111101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/336 and -109\/4416.\nAnswer: 30912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*j + 4*j + 3*j + (1 - 2*j - 1)*(0 - 2 + 0) in the form c*j + f and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 129345498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 896 a factor of 9372160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 PM and 10:15 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -473 (base 16) to base 15\nAnswer: -50e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -2*v**3\/13 - 190*v**2\/13 - 3064*v\/13 + 3256\/13 = 0?\nAnswer: -74, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 8, c: 5}. Give prob of picking 1 c and 1 d.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/3)\/(128\/(-64)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1\/(60\/24) + (-2226)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (420 - 412) + (-2 - (-3 - -2) - 25).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 445.711 kilometers?\nAnswer: 445711000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*a**2 + 18*a**2 + 6*a**2.\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -35 - -116. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -375.6 - -409. Let t = u - 33.65. Is t <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 207?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 106756980 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2026 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 187104637.\nAnswer: 13577, 13781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2268063481?\nAnswer: 37, 4877, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17 + -6. Let a be 10\/40 + 7 + (-1)\/4. Solve 2*f + 3*r = a, -4*r = 4*f + r - o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -303*t + 896*t**3 + 351*t**2 - 18*t**3 + 17 - 110*t**3 - 2. Let m(q) = -48*q**3 - 22*q**2 + 19*q - 1. Let b(i) = 33*m(i) + 2*v(i). Factor b(f).\nAnswer: -3*(f + 1)*(4*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -658921*b. Let q(z) = -2*z**2 - 14*z. Determine q(y(d)).\nAnswer: -868353768482*d**2 + 9224894*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 4*n**2 - 3*n - 5. Let y(x) be the second derivative of x**4\/4 - 2*x**3\/3 - 5*x**2\/2 + x. Let k(g) = -4*p(g) + 5*y(g). Give k(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, g: 4, z: 1, b: 4, j: 3}. What is prob of picking 1 z and 1 b?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 766 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 - 113233101043?\nAnswer: -113233101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = -4*i + 11. Let z = 4 + i. Put z, -0.5, 1\/5 in increasing order.\nAnswer: z, -0.5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d - 7 + 2*d**2 + 3*d - 4*d**2 + 2*d. Let h(b) = -3*b**2 + 4*b - 8. Let v(x) = -4*g(x) + 3*h(x). List the prime factors of v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -4*g + 3*y, -4*g - 39*y = -43*y + 16. Let u(w) = -2*w**2 - 10*w + 120. Give u(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.5 + -2.5. Which is the biggest value?  (a) 0.02  (b) 4  (c) 3  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 times 0.092\nAnswer: 0.00276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -5*u. Let y(z) = -z. Suppose 2*t + 8 = -2*s, -t - 13 = 4*s + 2*t. Determine s*w(h) + 2*y(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 28*a + 32. Does 24 divide k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 4*z + 1366 = 3*i, 4*i - 3*z - 2765 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**3 - 6*l**2 + 12*l - 4. Let v be m(4). List the prime factors of v + 637 + 6 + 3\/(-3).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(-420)*8*(-10)\/(-8)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 22008553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -37501 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 294 - -21697?\nAnswer: 21991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.13 + -39.13. Let b = -46 - x. Let g = b + 7.012. What is g rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of r**6\/60 + 11*r**5\/5 + 96*r**4 + 2048*r**3\/3 + 2*r**2 + 16*r. Factor k(h).\nAnswer: 2*(h + 2)*(h + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -3*y**4 + 9*y**2 - 6\/5 - 21\/5*y - 3\/5*y**3 = 0.\nAnswer: -2, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5193160352.\nAnswer: 2, 67, 2422183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(-2\/5)\/a*a)\/((a\/(a*a**3))\/a)*a**0\/(a*a**(-3\/7)*a*a))**20)**(13\/3) assuming a is positive.\nAnswer: a**(624\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ffcfffffffffffffffff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*f**2 + 42 + 3*f - 3*f - 2*f - 28 - 2*f**3 to the form d*f**2 + b*f + i*f**3 + j and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 85 in -0.1, 2, -333?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) 3\/5  (c) -0.4  (d) -1\/7  (e) 500\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 16318685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -2  (b) -30.85  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -13 + 2 + -30 + 50 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.025 - 0.475. Sort 0.02, p, -4\/7 in decreasing order.\nAnswer: 0.02, p, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 5, i: 6, v: 4}. What is prob of picking 1 v and 2 i?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ic when two letters picked without replacement from {d: 2, i: 6, h: 2, c: 5, b: 3, l: 1}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -18, 11094, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29 and 22620.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.000088529 times 3\nAnswer: 0.000265587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/1 - (-5)\/(-1 - -2). Let l be (-1)\/(w\/(-36)*3). Suppose -g + 5*z = -l*g - 16430, -2*g = -3*z + 10928. What is g rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 3*y + 14 + 1 = 0, 3*o - 4*y - 13 = 0. Let x be (-2 - (-22)\/o)*(-27)\/(-4). Suppose 0 = 4*m - 2*p - x, m + 7 - 2 = -3*p. Solve 5*d + m = -13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -2*a**2. Let t(v) = -654*v. Give t(m(j)).\nAnswer: 1308*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*x + 12 = 22*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/6340 and -11\/62286696.\nAnswer: 311433480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 29.8 - 28.8. Which is the smallest value?  (a) -3  (b) 11  (c) o  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 10:51 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 194 divide 3417099503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*o**4 - 233*o + 13175.\nAnswer: 12*o**3 - 233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - 10*u**2 - 11*u + 7. Let v be o(11). What is the third derivative of 4*z - v*z**5 - 3*z**2 - 4*z + z**2 wrt z?\nAnswer: -420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -2*h**3 + 3*h**2 + 3*h. Let d be i(-3). List the prime factors of ((-30)\/4)\/((-27)\/d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51.6634239 rounded to the nearest integer?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11011111 + -10010?\nAnswer: -11110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.2138576 - 1.214. What is i rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/6)\/(-1)*22*39\/(-52).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, k: 5, j: 5}. What is prob of picking 3 k?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/9, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 13*c**2 + 13*c + 1942. Let v(k) = -3*k**2 - 3*k - 485. What is 2*g(q) + 9*v(q)?\nAnswer: -q**2 - q - 481","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -42 - -56. Suppose -2*u = -p*u + 180. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + v = -6, 5*w + 3*v + 15 = 2*v. Suppose 0 = 2*y + 2*y - 36. Let p = y + w. Solve 6*x = 3*x - p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (34*14\/(1568\/42))\/((-3)\/6 - 1)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**3\/11 + 78*d**2\/11 + 980*d\/11.\nAnswer: -2*d*(d - 49)*(d + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*o**4*y**2 - 101723*o**3*y + 3*o**2 + 144214*o*y**2 + 2*y**2 wrt o.\nAnswer: 24*o**2*y**2 - 610338*o*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-1 - (-5 + 6)) - (-23 + 22)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/((s*s**(-5))\/s)*s*s)\/s)\/s*s\/s**(-4))**(9\/8) assuming s is positive.\nAnswer: s**(99\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u = -7*u + 22. Suppose 5*a = -3*c - u, -a = -2*c + 3*c + 4. Is c bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1343551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-27))**(3\/2)\/(z\/(z*z\/((z\/((z**33\/z)\/z))\/z))*z*z*z**22) assuming z is positive.\nAnswer: z**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 256837542 to the power of 1\/3, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 686500 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -469902, -470407, -470922, -471453, -472006, -472587?\nAnswer: -473202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3*(-1)\/(-3)*-43. Suppose -6*g = -8 + 2. Let b = y + g. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-62)\/10 - (-1)\/5. Let p = o - -18. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1033020 - -3?\nAnswer: -1033011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 189 - 119. What is the tens digit of (-3 - z)\/(0 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*j**3\/5 + 126656*j**2\/5 + 759828*j\/5 + 1139688\/5 = 0. What is j?\nAnswer: -31658, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/8)\/(1\/144). Let n be (-29)\/(-3) + (-12)\/18. Calculate the highest common divisor of n and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(2057)*-1 - (2*sqrt(1377)*-2)**2.\nAnswer: -22032 - 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {t: 2, e: 2, j: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q, 1 v, and 1 y when four letters picked without replacement from gyyqyyyyyyydvvyvq.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*y - 313 - 241 = 16. Solve -10*h = -4*h + y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 4*a**2 - 12028*a + 24057. Determine f(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d = -17*d + 616. Calculate the greatest common factor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 times -0.39?\nAnswer: -39.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - 16. Let z = -10 - t. Let p = 60 - 55. Sort p, z, -3 in ascending order.\nAnswer: -3, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 64 (base 15) to base 9\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 170209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3222985?\nAnswer: 5, 644597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(4\/7)*r\/(r**5*r))**(-14) assuming r is positive.\nAnswer: r**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-6)*2\/12*1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3313606 is divided by 70.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/7, 0.12, 3, 7\/17, 1\/4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*a - 16*a + 99 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1610496838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -12678*56.8\nAnswer: -720110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11600 - 6014. Is 29 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 - 5*i**2 + 7*i + 8. Let a be l(-6). Suppose a*j = j + n + 62, -3*n = 4*j - 276. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**3 + 3*z. Let f be j(-2). Let t = -15 + 14. Which is smaller: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 - 6*p**2 - 7*p + 7. Determine y(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7409 and 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 27 = -3*u. Let i(z) = -27*z**3 - 4*z + 5. Let l(x) = -x**3 + x - 1. Let a(n) = u*l(n) + i(n). Find the second derivative of a(h) wrt h.\nAnswer: -192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27074 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-40)\/30 - (-26)\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 194 - 98. Let r be -7*(-4 + k\/28). Suppose -2*x + x = -r*i, 4*i - 60 = -2*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 488043?\nAnswer: 3, 211, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2688899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 685326, 1370672, 2056004, 2741316, 3426602?\n\"Answer: -j**3 - j**2 + 685356*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113 + 608 = 7*s. What is the remainder when s is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57745729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 20 = 2*p. Let k be -10 + p - 153*-1. Suppose g = s - 368, -5*g + k + 1363 = 4*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -123029522\/23 or -5349109?\nAnswer: -5349109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2001586545 a multiple of 4165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*y - 8*y. Which is the nearest to y?  (a) 0.05  (b) 1  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 102 - 102. Suppose -4*s + 8 = f, 3*w = -2*s + 28 + 249. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -53375732 rounded to the nearest ten thousand?\nAnswer: -53380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -5*v + 15, -f = -v - 2. What is the remainder when 113 - (f - (-42)\/(-6)) is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -105 + -162643?\nAnswer: -163051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 2*n = 5*n - 58, -2*r + 4*n = 92 - 110 + 92 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*v**4 + v**4 + 2*v**4 - 2*v**4 + v**4 + 2*v**4 + (3 - 3 - 2*v)*(-v**2 + v**2 + 2*v**3) to the form d*v**2 + g*v**3 + q + h*v + u*v**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-j - 4*j + 3*j)*(2 - 2 - 1) + 2*j - 2*j - j)*(5*j**2 - j**2 + 2*j**2) + (2*j - 3*j + 0*j)*(-4*j**2 + 4*j**2 - j**2).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of -181*a**3\/6 + 51*a**2\/2 - 4*a - 9. What is the derivative of o(u) wrt u?\nAnswer: -181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*z - 43*z + 14*z)*(-1 - 4 + 0)*((1 + 0 - 2)*(-6 + 2 + 2) - 1 + 1 - 1)*(-2*z + z + 3*z).\nAnswer: 100*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -11453451.4 rounded to the nearest 100000?\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*w - 183 + 57 = 0 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, c: 1, x: 1, v: 12}. What is prob of sequence vx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9.04 - 10. Let a = -0.02 + y. What is a rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*i = -23*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2, -29.039, -4.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1222, -3\/2, 2, -5\/4, 3 in descending order.\nAnswer: 3, 2, -5\/4, -3\/2, -1222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 (base 6) in base 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1908, 3417, 4926?\nAnswer: 6435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 289 + -206. Let j = p - 78. Let t(w) = 17 - 31 - j*w + 13. Let x(c) = 4*c + 2. Calculate -3*t(i) - 4*x(i).\nAnswer: -i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - 26516?\nAnswer: -26512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/(-8))\/((-2)\/(-20)). Let g be (-1 + 5 - p) + 2. Solve -g = -4*t - 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-136)\/48 + 1*2\/(-12). Let r be ((-30)\/(-75))\/(i*7\/5). Let g be (1\/(-4))\/(10\/(-8)). Which is the nearest to 0.2?  (a) r  (b) g  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -868 or -866?\nAnswer: -866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**3\/5 - 140*m**2 - 13130*m - 371800 = 0. Calculate m.\nAnswer: -220, -65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 144913 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 80417764 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: Four letters picked without replacement from pqzqwyqqyqypypp. What is prob of picking 2 y, 1 z, and 1 q?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 + 3*d**2 + 3*d - 2. Let c(i) = -i + 8. Let z be c(5). Suppose 0 = 247*p + 5512 - 7982. Calculate the remainder when p is divided by g(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 - 7*i + 5. What are the prime factors of d(10)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 5*t - 140, -2*b + t + 67 = 3. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1671 - -1666. Which is the nearest to -14?  (a) t  (b) 1  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 divided by -5931?\nAnswer: -76\/5931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 59056, 59061, 59078, 59113, 59172, 59261, 59386?\nAnswer: 59553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 47 and 376?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 14*n = -2*n - 488. Calculate the remainder when 310 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + (-51)\/(-27) + -4. Sort 0.1, p, 0.4, -1 in ascending order.\nAnswer: -1, p, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/3 and 143\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9195 = 5*y - 4*n, 0 = 5*y - 3*n - 3941 - 5249. What is the remainder when y is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 2*a + 28. Let i be z(-26). Put i, 4, -13 in decreasing order.\nAnswer: 4, -13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 0, 3, -0.2, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of -r**6\/15 - r**5\/12 + 7*r**2. Find the third derivative of z(d) wrt d.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23685008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -8990, -71924, -242748, -575408, -1123850, -1942020?\n\"Answer: -8991*l**3 + l**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.0909 equal to 0.0069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -122122000122121 - 12?\nAnswer: -122122000122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 16975 and 2.\nAnswer: 33950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -93, -243, -495, -873, -1401?\nAnswer: -2103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (18\/(-4))\/(21\/(-28)). Suppose -2*w = -w + d. Let k be -1 + -1*(w + 0). What is the smallest value in -4, k, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2458651259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m + 3*m + 4 + 0*m - m. Let b be i(0). Suppose -b*g + 352 = -0*g. What is the greatest common divisor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, -2, -15, -32, -53?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-178)\/(-12) + 2\/12. Factor f + 7*o - 19*o - 11 - 7*o**2.\nAnswer: -(o + 2)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -270, -262, -254?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7395098 and 161.\nAnswer: 51765686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/2007 and -51\/1133063?\nAnswer: 10197567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s**2 - 7*s + 5. Suppose -6*f + 15 = -3*f. Let t be o(f). Solve -c - t = -6*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1\/20 + 9\/20. What is the closest to x in 6, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 6892.\nAnswer: -689.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 349140.\nAnswer: 2, 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -119 + 118.943. Let g = 41.057 + n. Let c = g + -65. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(99) + 1 - sqrt(99)) + -5 + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.5 - 300759.\nAnswer: -300765.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 29\/5, 6\/11, -1\/2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -3*f**3 + 2*f**2 - 4*f + 3. Let n(b) = 5*b**3 - 4*b**2 + 7*b - 5. Suppose 91 = 28*q - 15*q. Determine q*k(a) + 4*n(a).\nAnswer: -a**3 - 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47526 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 369*k + 380*k + 377*k - 1901*k + 376*k + 381*k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 8*i + 157 = -3*i, -4*u + 553 = -5*i. Let t = u - 63. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 + 157330 - -21)*(-1)\/(-1 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -40  (b) 0.3  (c) 2  (d) -0.36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/6)\/(2\/(-3)). Let w = 0.00502 + -0.40502. Sort w, 2, v in decreasing order.\nAnswer: 2, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -66 + 38. Let h = 17 + w. Let d = h - -16. Solve 3*y + 6 = 3*z, -2*y + 3*z = d + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -350*s**2 + 5*s + 5. Let p(o) = 346*o**2 - 6*o - 6. Let t(c) = -6*g(c) - 5*p(c). Let a(d) = 2*d. What is t(a(u))?\nAnswer: 1480*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-60))\/((-3)\/3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 35 and 0.527.\nAnswer: 18.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 10*k**2 + 6. Let w(o) = 44*o**2 + 20. Let d(i) = 11*i**2 + 5. Let x(u) = 9*d(u) - 2*w(u). Let p(s) = -6*q(s) + 7*x(s). Is p(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 355*v + 190 + 59 = 106*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, n: 2, p: 5, s: 3, f: 5}. Give prob of picking 3 v.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - 3*a**2 + 2. Let m be s(-5). Let g = m + -19. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 79, 257, 599, 1159, 1991?\nAnswer: 3149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-4*sqrt(19) + 2))**2.\nAnswer: -400*sqrt(19) + 7700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -11*p**2 - 8*p - 55. Let y be (-27)\/(-45) + (-2)\/(-5). Let j(b) = 2*b**2 + b. Let u(o) = y*z(o) + 6*j(o). Find the first derivative of u(s) wrt s.\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3223 + 2301?\nAnswer: 11024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 a factor of 1497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - o + 30 = o, 2*o + 5 = 3*g. Let m = 0.4 + -19.4. Let l = m + 14. Which is the second smallest value?  (a) l  (b) -1  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23 - 15. Suppose -2*f = 4*u - 18, -3*u + f + q = 2. Solve -u*t + 9 = 3*m, 5*t - 3*m = -7*m + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 3:32 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -233 - -132?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1153 - -5778. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 86654735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 11015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 5665376420?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -55056 to the nearest 100.\nAnswer: -55100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 320*c + 4069 + 8411 = 0 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-28953*w**2 - 62160*w**2 + 34180*w**2)*(2*w - w + 0*w) as u*w**2 + q*w + o + v*w**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00725491909 to 5 dps.\nAnswer: 0.00725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 2*u + 8. Let p be d(-3). Suppose -9 = j - 3*y - p, 18 = 3*j + 4*y. What is the derivative of 10 + 3*o**j - 14 - 3*o**2 + 4*o**3 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 6*s - 54. Let x be 8\/(-2)*2\/(-4). Let h = x - s. What is the greatest common factor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 334*q - 21440. What is k(63)?\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 8*j - 82. Let t be v(11). Let a(r) = -23*r**3 + 23*r**2 + 20*r. Let c(x) = 8*x**3 - 8*x**2 - 7*x. Give t*a(l) + 17*c(l).\nAnswer: -2*l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y - 104. Calculate z(-56).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 18 (base 12) to base 7\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of d**3*m**2*x + 3*d**3*m - 18*d*m - 2*m**2*x**3 - 64*m**2*x**2 + m + 8*x**3 wrt m?\nAnswer: 2*d**3*x - 4*x**3 - 128*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1089*x + 5587*x = -247390 for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -3899*t + 46868. What is w(12)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -28 + 10 - -22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-123)\/((-452)\/(-9379)*6\/(-8)) is divided by 310?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9408 (base 11) in base 14?\nAnswer: 478b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 8*j**2 - 7*j + 6. Let h be -3*3\/((-27)\/(-15)). Let r be h\/(-2)*66\/55. Calculate the remainder when m(r) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kzzwpippipipzzvziiip. What is prob of sequence wk?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (0 + -4)) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3725*p + m - 3 = -3724*p, -3*m = p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 92704 and 139056?\nAnswer: 278112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5 and 2931122.74834.\nAnswer: 2931117.74834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 - ((-913)\/44)\/((-2)\/(-12)). Let s = v + -127. Suppose r - 2*r - 4 = 0. Is r > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 42*t**2. Let h(k) = -2*k. What is h(l(p))?\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*n - 3*n - 2*n)*(8 - 3 + 4) - 73*n - 88*n + 135*n.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 193517927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 10*d + 54. Let v be c(-3). Solve -21*i + v*i = 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 3 - 47*m - 22*m.\nAnswer: -69*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -91 + 11?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1)\/(-3))\/(-1*(-5)\/1335). Let c = r - 17. What is the greatest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = 147*b - 149*b - 13, 4*w - 8 = 2*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t - 20 = -6 + 14. Solve 5*v - 2 = -2*f + t, -v - 2 = 2*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -22*r**2 - 11*r + 235. Let f(s) = -10*s**2 - 5*s + 117. Calculate -5*f(o) + 2*u(o).\nAnswer: 6*o**2 + 3*o - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = -3*f - 2*k - 16, 5*f = -k - 17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 24917537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*j + 5*j + 3*j - 6*j as d*j + w and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39046 is divided by 889.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) -2\/5  (c) -3728  (d) 9662\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (156\/4680)\/(5\/50)*(-102)\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a**4 - 168*a**3 + 1167*a**2 - 678*a - 2016 = 0. What is a?\nAnswer: -1, 2, 7, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 65657887 and 6847?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/486 and 83\/1013256?\nAnswer: 9119304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -6*v**5\/5 - 146*v**4\/5 - 36*v**3 + 20*v**2 + 186*v\/5 + 46\/5 = 0?\nAnswer: -23, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -2*w**2. Let o(t) = t + 1. Let m = -47 + -37. Let p(k) = -48*k - 42. Let g(y) = m*o(y) - 2*p(y). Give g(a(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 2*t + t = -2, 5*l - 30 = -5*t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t**(-7)*t)\/t**3*(t**(1\/3))**(-24)*(t**5*t*t*t*t\/(t\/(t**(-1\/4)\/t)))\/((t**(-8)*t)\/t**(-2\/3)) assuming t is positive.\nAnswer: t**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35767 is divided by 4462.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of i**5\/6 + 5*i**4\/8 - 5*i**3\/3 - i**2. Factor z(f).\nAnswer: 5*(f + 2)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + -2. Suppose -2*s - 29 + 559 = 0. Suppose -6*q = -2*q - 5*x - s, -5*x = -i*q + 205. What is the highest common divisor of 24 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1*(8 - 6)*19\/17 and -67\/6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.153 + -0.047. Let m = 2 + 3. What is the second biggest value in 3, m, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 27499*t - 27117*t + 9168 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -2, -77?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16227 + 324609\/20. Find the common denominator of -83\/200 and x.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 94 = 5*c, -34 - 54 = -3*u + 5*c. Let p be (5 - 4)*(-260)\/(-4). Calculate the highest common factor of p and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -11*k**3 - k**2 - 4*k + 9. Let u be f(3). What is the tens digit of -4 + (-3)\/9*u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -4. Let d = p - -10. Which is the nearest to -2\/3?  (a) 2\/5  (b) d  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 2 + 6. Let u(k) = -1 - 1 + 2 - 2*k**i - 4*k - 2. Determine u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 13\/2 + 12\/(-4) + -3. Suppose -u*z + 0*z**3 + 0 - z**2 + z**4 + 1\/2*z**5 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3432 + 3347.95. Let q = -123 + 39. Let w = q - y. What is w rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*f**2*k*p**3 - 78*f**2*p - 10*f*k*p - 37*f*k - 394270*f*p**5 + 4*k*p**2 + 2*p**2 wrt p.\nAnswer: 18*f**2*k - 23656200*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t - 2*t - 3*t)*(-4*t + 2*t - t) + (t - 6 + 1 + 3)*(53*t - 9*t + 65*t).\nAnswer: 112*t**2 - 218*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 + 0)*(2 + (-2 - 0)). Suppose n*k - 2*k = -34. What is the greatest common factor of 85 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 12 = 0, 5 = -4*q + 2*q - 3*y. What is the first derivative of q*r - 3*r**2 - 2*r - 1 wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -5*s + 42. Let f be m(8). Let z = 3.95 - -0.05. Let n = 0.32 - 0.12. What is the closest to 2 in z, n, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13\/5 + -437\/20. Let u = 10 + -21\/2. Find the common denominator of s and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29430*t**2 + 30570*t**2 + 5 - 5.\nAnswer: 1140*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3878181 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/3*(-144)\/(-384).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/137 and -31\/4.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(30\/20)*(-3)\/(-10)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -2.35891759059 and 0.87.\nAnswer: -1.48891759059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 - 21*i**2 + 19. Let c be w(-21). Suppose -c*j = -24*j + 1105. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 66 in -1, -6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uune. What is prob of picking 1 u and 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -4134 + 506*o - 101*o + 4133 as z*o + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 81136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -9*q**2 + 4*q - 8. Let v(g) = 143*g**2 - 66*g + 132. Let d(o) = 2*v(o) + 33*z(o). Let b(l) = l + 26. Calculate b(d(u)).\nAnswer: -11*u**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9766, -9678, -9494, -9184, -8718, -8066, -7198, -6084?\nAnswer: -4694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -45 + -1 + (-21 - (-37 + (5 - -14))).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17 and 9970381.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(1\/4))**(-12\/11))**(1\/33)*((t\/t**(-1))\/t*t)**(-1\/8)\/((t*(t**(-1\/4)\/t)\/t*t)\/(t\/(t**(3\/5)\/t))) assuming t is positive.\nAnswer: t**(822\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18.281 - 71.281. What is the third smallest value in 3, -4, d, 2\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 + 18. Suppose -3*n + z = 4*g - 0, 5*g + 2*n = 15. Let b(v) = 2*v**2 - 5*v - 3. Is b(g) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3268055, -6536114, -9804173, -13072232, -16340291?\nAnswer: -19608350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 129798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zvyvvblzlyql. What is prob of picking 1 v, 1 y, and 1 q?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 0.3, -139, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*d - 286 = 62 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.5 and -0.398.\nAnswer: -0.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 14*w**5 - 11806*w**4 + 3190*w**3 + 153646*w**2 - 185508*w + 40464 = 0. Calculate w.\nAnswer: -4, 2\/7, 1, 3, 843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 0.3  (c) 4  (d) -4  (e) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13)*1*3 + sqrt(52)\/(sqrt(4) + -4*sqrt(4)).\nAnswer: 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 n, and 1 r when three letters picked without replacement from yrnrryyrornoy.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(320) + (-1*(0 + sqrt(320)))**2 - (sqrt(320) - (sqrt(320) + -3)*2)).\nAnswer: 16*sqrt(5) + 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11286 = -29*a + 35*a. Let u = a - 1012. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 5*x - 15 = 0, -s + 2*x + 123 = 117. Factor -9\/5*a**2 + s - 1\/5*a**3 + 0*a.\nAnswer: -a**2*(a + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/5*o**3 + 213\/5*o**2 - 15123\/5*o + 357911\/5.\nAnswer: -(o - 71)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 472 is divided by 250.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 37. Let x(s) = 21*s**2 - 3*s + 1. Calculate the remainder when a is divided by x(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 > 854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 897 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 122 and 1769?\nAnswer: 3538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 (base 9) in base 12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that x**2\/5 + 57*x - 286\/5 = 0.\nAnswer: -286, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f**2 + 4 - 10 - 18*f - 2*f**4 + 13*f**3 + 7 + 4 - 12*f**3 to n + m*f + v*f**2 + g*f**4 + h*f**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) -3225  (b) 0.5  (c) -43  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 900?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4491.963 - 4492. Which is the smallest value?  (a) s  (b) 2  (c) -244\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 21 - 6 = 0. Let r = 11 - b. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175956 to the power of 1\/2, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5231\/1374 + -6\/229. Find the common denominator of n and -13\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46445?\nAnswer: 5, 7, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/53, 5, -1\/4, 607?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/99?  (a) -1  (b) -0.66  (c) -25  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0023032896 rounded to five decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 1. Let q(u) = 62*u**2 - 62. Determine -124*p(x) - 2*q(x).\nAnswer: -124*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the third derivative of -l**7\/18900 + l**6\/450 - l**5\/25 - 7*l**4\/12 - l**3\/3 - 2*l**2 - 27. Let m(o) be the second derivative of w(o). Factor m(n).\nAnswer: -2*(n - 6)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7580310?\nAnswer: 2, 3, 5, 29, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/498 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 423 * 382.\nAnswer: 161586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -13 + (7 - 12) + (-8 - (2 - 6)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -284\/5 - -1031\/20. Let x = -139\/28 - u. Let c = 6\/5 + -8\/15. What is the biggest value in c, 0, -5, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 690880358?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*k - 56 = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3160369038 to the power of 1\/3, to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -68131 greater than or equal to -1158216\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 237979 is divided by 237959.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -2.7, 2\/5, 0 in ascending order.\nAnswer: -2.7, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 73014 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -477 + 813. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ljjj when four letters picked without replacement from {l: 1, j: 4, q: 5, a: 3}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5028536 is divided by 2508.\nAnswer: 2504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 19899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*v - 1091 = 1119. Solve v - 20 = 30*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5484432*t - 2*t**4 - 1 + 5484433*t + 3*t**4 - 6*t**2 + 17*t**3 as b + o*t**3 + r*t**4 + z*t**2 + w*t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11239 - -12071. What is the remainder when w is divided by 167?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-10)\/6*3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 6*y**3 + y**2 - y + 1. Let j be v(1). Let w = -897 + 1016. Calculate the highest common factor of j and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-206)\/2884)\/((-2)\/(-980)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -170657401685.59 less than -56?\nAnswer: 170657401629.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -6  (b) 0.4  (c) 0.1  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1484651.\nAnswer: 7, 41, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -277004, -1108026, -2493048, -4432058, -6925044?\nAnswer: -9971994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**4 - b + b + (2 - 2 + 2*b)*(1 - 1 - 2*b**3) - 2 + 2 - 2*b**4 + 21*b**4 + 12*b**4 - 11*b**4 - 124*b + 23*b**4 + 124*b.\nAnswer: 38*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 17 = -3*k + 2*u, 5 = k - 2*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(-2\/19)*r)*r*r*r**(1\/8))**(-32) assuming r is positive.\nAnswer: r**(-1356\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 132.4501227 nanoseconds to weeks.\nAnswer: 0.00000000000021899821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.86 and 1678.\nAnswer: 1678.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -6, -5, 1, 0 in descending order.\nAnswer: 3, 1, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 180 and 438012.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*s - 7124 + 1874 = 281*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 285696.1 milliseconds in nanoseconds?\nAnswer: 285696100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 425230?\nAnswer: 2, 5, 13, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -2, -2\/9, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = 0, -r - 318 = 2*g - 5*g. Suppose 19*a = -11 + g. What is the tens digit of (1\/(-2))\/(a\/(-1030))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 + 11*y**2 + 14. Let n be w(-11). Suppose -3*m = -n + 5. Solve 0 = -5*h - 3*g - 23, g + 4 = m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 7*x = 1368. Find the third derivative of 164*i**2 - x*i**3 + 197*i**3 - 109*i**3 wrt i.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -971626, -7773079, -26234166, -62184703, -121454506, -209873391, -333271174?\nAnswer: -497477671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of -28*v**2 - 1. Let t(i) be the first derivative of -i**2\/2 - 14810. Determine t(w(o)).\nAnswer: 56*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x + 9 + 7 = 0. Solve -14 = -x*h + 9*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0576275l to millilitres.\nAnswer: 57.6275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/3617, 2, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.704 and -3.\nAnswer: -2.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 divided by -4623.\nAnswer: 11\/1541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - 1.3137.\nAnswer: -22.3137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (45\/(-10))\/((-6)\/32). Let y = 28 - q. Solve h - 18 = -y*a, -4*h = 5*a + 14 - 42 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - 16*g**2 - 4*g + 56. Let i be a(16). Does -8 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2 - 4647*i + 195570.\nAnswer: -3*(i - 41)*(i + 1590)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*m*p**4 - 357472*m*p**3 + 7*m*p - m + 8*p + 27 wrt p?\nAnswer: 36*m*p**2 - 2144832*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, d: 4, m: 2, i: 4, e: 2}. Give prob of picking 1 d and 1 i.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180 = o + 4*o. What is the highest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 6 = 4. Suppose q - 55 = -5*j + 36, 0 = c*q + j - 200. Let a = 143 - q. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 + y**2 - 53*y + 31. Let j be n(-8). Let i(l) = -l**3 + l**2 + l + 1. Let p be i(0). What is the greatest common factor of p and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 99\/(-36) + 1 + 0.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -89, 2\/3, -3\/46, 3, -0.2, -2\/11?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*w - 65 + 65.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 AM and 6:59 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1799 and 10724.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31 + 13. Let p = h - -54. Calculate the highest common factor of 252 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-140)\/(-15) + (-16)\/2)\/((-495)\/30 - -16)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-1 + sqrt(1584)))**2 + sqrt(1584) + -1 + 0 + (sqrt(275)*-3 + sqrt(275) - (sqrt(539)*-5)**2).\nAnswer: -11891 - 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (-10 - -5 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0179525 to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 - 5*w**2 + 5*w - 1. Let u be m(4). Let k be (u\/5 - 2) + 1. What is the nearest to 3 in -4, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h*h**7)*h)\/(h\/h**(-9)*h))**(6\/11) assuming h is positive.\nAnswer: h**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2879764761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 25 = r, a = -a + 3*r - 5. Let n(f) = -2*f**3 - 2*f**2 + 2*f + 6. What is the remainder when n(-2) is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 773080 divided by -3514\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 551581826 to the power of 1\/4, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of ((-34)\/24 - (-8)\/(-24))*-44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100645026?\nAnswer: 2, 3, 43, 390097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15762 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the third derivative of -h**5\/40 - h**3\/2 + 10*h**2. Let l(j) be the first derivative of t(j). Let r(a) = 6*a**2. What is l(r(p))?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 - 12*j**2 - j + 9. Let k be c(-12). Suppose -3*i + k = 4*i. What is the closest to i in 0.5, -2\/7, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 40410 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-24)\/40*(-5)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence los when three letters picked without replacement from {b: 1, o: 5, r: 1, s: 1, l: 1}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z**3 + 1723*z**2 - 5180*z**2 + 1725*z**2 + 3*z**3 + 1732*z**2.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(57)*1*2 - sqrt(57))\/(sqrt(192)\/sqrt(4)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -118 - 487. Let c = s + 248. Suppose -7*r + 258 = -c. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51 (base 13) to base 5.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(1331) + sqrt(1331)*2)**2 - sqrt(11)) - (((sqrt(88)\/sqrt(4))\/sqrt(2))**2 - -6*sqrt(176)))*2 + 5 + 3.\nAnswer: -23972 - 46*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21400702 is divided by 166?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156*r - 162*r + 18 = 0. Put 0, r, -3, 2 in descending order.\nAnswer: r, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -47467*b**2*i - 2*b**2 - 2842 with respect to i.\nAnswer: -47467*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 11:43 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -16*m**2 + m + 46. Let n(i) = 0 + 3*i**2 - 9 + 0*i**2. Let k(b) = -11*n(b) - 2*y(b). Suppose -2*d = 10, 0 = 3*w - 5*d + 4 - 14. What is k(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 + 158*j**2 - 830*j + 132. Determine y(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 317\/5 - 64. Put d, -0.01, 2 in descending order.\nAnswer: 2, -0.01, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 109 and -12.167?\nAnswer: -1326.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14\/551681 - -165134122385\/13240344. Let f = 12474 - b. Calculate the common denominator of f and 17\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 106 (base 7) to base 3\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-12)\/(156\/65))\/(-1))\/(-6)*12\/255.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -2\/65, -114, 1.35, 0, 13?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.012 + 25.012. Let v = 388 - 413. Let f = v + g. Sort -1\/3, -3, f in ascending order.\nAnswer: -3, -1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/65*(-42)\/(-42).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8480924 or -8480925?\nAnswer: -8480924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + 9 - 11\/1. Which is the fourth biggest value?  (a) 4  (b) -5  (c) z  (d) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from llmallllmmmmmlmmllm.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -58774804*s**4 - 67508292*s wrt s.\nAnswer: -705297648*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19086 is divided by 2120.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 95*u - 3. Determine f(3).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9739 divided by -1.\nAnswer: -9739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of -3*k**4 + 6*k + 3. Differentiate l(m) wrt m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35 - -3305. Suppose -2*n = 4*f - 1000 - 670, 0 = -4*n + 3*f + p. Suppose -264 = 5*c + 2*w - n, -15 = -5*w. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8.18*-3.4\nAnswer: 27.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -824 * 72814\nAnswer: -59998736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 1 - 3. Suppose 0 = -3*u - 3*d, -a*d = -4*u + d. Suppose u = -3*m - 15, 0*k + 108 = 4*k - 4*m. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 3*d - 5*l = 682, 5*l + 10 = 0. Let p = d + -142. What are the prime factors of p?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5*((-100)\/24)\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 2*k**2 + 5*k + 3. Let a(g) = g**2 - 12*g + 16. Let x be a(11). Let w(b) = -2*b**2 - 6*b - 4. Give x*w(c) + 6*t(c).\nAnswer: 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8459 (base 16) to base 14.\nAnswer: -c4c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from rrqrrqrprr.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17210 and -18.2.\nAnswer: 313222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 95\/(-5) + 0 + -1. Let w be (-86)\/(-6) + (n\/15 - -1). Find the second derivative of w*t + 15*t - 6*t**4 - 10*t wrt t.\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 69525149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 + 41. What is the highest common divisor of 25 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -u**2 + 34704*u + 34705 = 0.\nAnswer: -1, 34705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 115 is divided by 62.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -469, -1007, -1545, -2083, -2621?\n\"Answer: -538*v + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from drcawws.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i - 2*i + 23 - 25 + 9. Suppose -2*g - 1 = 3*p, -p - 3*g + 0*g = -9. Let x be r(p). Calculate the highest common divisor of x and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -9*h**2 - 95*h - 3. What is s(3)?\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 d when three letters picked without replacement from vddvxddkvdxkx.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2 + 5*p - 4. Let m(f) = 2*f**3 - f**2 + 1. Let o be m(-1). Let x = o - -10. Let k = -3 + x. Give y(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d**2. Let l(b) = -40*b**2 + 156*b**2 + 43*b**2 + 2*b - 2*b. Determine l(y(c)).\nAnswer: 636*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34554 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times -3526575\nAnswer: -1763287.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -141, -5 in descending order.\nAnswer: 0, -5, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by -10639471?\nAnswer: 7\/10639471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -97 - -24. Let o = -32 - q. What is the remainder when o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of p**5\/40 + p**4\/12 - p**3\/4 - 17*p. What is w in y(w) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 58 - 30. Suppose 83 = q - k. Suppose 0 = -v - 4*v + q. Calculate the lowest common multiple of v and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a - 15. Let p be k(-5). Let j = -11 - p. Let n be (3 - (-3)\/j) + 3\/(-9). Solve q - n*q = 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 5*x - 4, -v + 22 = -5*x + 8. Let k(u) = 8*u + 4. Let n be k(v). Suppose 3*h + 159 = 5*r, 2*r + 5*h - n = -0*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 18 = -54*n + 51*n, 3*q - 5*n = 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-5))\/((48\/72)\/(10\/(-6)))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -400*i + 2946. Calculate o(7).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.14, 1, 5636?\nAnswer: 5636","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -6*v + 123. Let c be t(20). Suppose 0 = 3*l - q + 18, -2*q - 3*q = l + 6. What is the tens digit of 119\/c - 2\/l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -664\/371 - -110\/53. Which is the closest to h?  (a) 1\/70  (b) -2\/11  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/(-12))\/(3 + (-321)\/108). Let s be (-4)\/32*k\/3. Which is the third biggest value?  (a) s  (b) -0.4  (c) 8  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**3 - 2*s**2 - s - 18. What is v(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tuct when four letters picked without replacement from ddudcdddttddtd.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 193279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 5*s**2 + 11*s + 21. Let y(b) = b**2 + 2*b + 4. Let u(h) = 2*c(h) - 11*y(h). Let q(a) = a**3 - 2*a**2. Let i(x) = q(x) - 3*u(x). Give i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c = -7*d + 8*c + 55, 87*c + 6 = 89*c for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 0, -20 + 46 = -n + 5*b. Let i be (-4)\/3 + n\/(-6). Solve -5*w = -g + 9, -2*g - 3*w = -i*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -3*w**3 + 1527*w**2 - 12024*w = 0.\nAnswer: 0, 8, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 85 - 116 - 96 - 111 - 3*u as f + l*u and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 48 = 2*n, l + 4*n = 21 - 12. Solve 0 = -5*v + l - 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -98.9 + 99.5. Let j(y) = 18*y - 5. Let h be j(0). What is the fourth biggest value in -0.2, -4, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + 1 - -1) + (-24 - -5) - 4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -7968 divided by 1328\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 11617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/3))**(-42)*(c**(-2\/23)*c)\/((((c*c\/c**(-1\/2))\/c*c)\/c)\/c*c) assuming c is positive.\nAnswer: c**(-1315\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 168 and 1684968?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 3 - 3)*(-363*v**2 + 7*v - 5 + 180*v**2 + 181*v**2) in the form p*v**2 + t + g*v and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j + 7. Let l(b) = b + 4. Let v be l(5). Let s = v - 4. Let t be o(s). Calculate the greatest common divisor of t and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3983\/130 + 306\/13. Let z = -617\/79 + 4\/395. Find the common denominator of b and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -r - 234. Let v be (75\/21 - 3)*14\/(-4). What is the hundreds digit of v\/11 + (-3)\/(r\/15918)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/((-3)\/2))\/(-1). Find the second derivative of 7*x**2 - 8*x**3 - 3*x**t - 13*x - 4*x**2 wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9\/25 + 197\/200. Suppose 0*k + 5*k - 3 = x, 0 = -3*k + 3. Is x < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of 2533*b**4\/4 + 3572*b + 532. Differentiate j(f) with respect to f.\nAnswer: 7599*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h - 5. Let m be r(9). Suppose 4*v + 352 = 4*z, 4*z + 135 = -m*v + 495. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -646*t - 219*t - 253*t - 160*t + 135*t to n + d*t and give d.\nAnswer: -1143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -74, -143, -212, -281?\n\"Answer: -69*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 929294 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/2)\/(19 - (-3405)\/(-180)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.63 - 45.0726430475.\nAnswer: -38.4426430475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to 1\/6466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2. Let i(n) = 2*n - 2. Let g(h) = -i(h) + s(h). Determine g(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4987957141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.172 and 13607.43?\nAnswer: -2340.47796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - 6. Let p = -2107 - -23169\/11. Is i less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-63)\/14*8\/(-12). Solve 3*i = -4*c + 4, -2*c + 18 = 4*i - f*c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {x: 3, r: 5, l: 6, e: 5, z: 1}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -32*k**3 - 11*k**2 + 8*k - 10. Let d(m) = 38*m**3 + 12*m**2 - 8*m + 12. Let a(j) = -5*d(j) - 6*r(j). Solve a(n) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 848 and 29256.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5\/(-20) - 25\/(-4). Let i = j - 4. Suppose -1 = -0*f - f. Put f, -1, i in decreasing order.\nAnswer: i, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 193*x**2 + 2 - 2 + 728*x**2 in the form r*x + l + g*x**2 and give g.\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 5:48 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11 and 119970.8?\nAnswer: 1319678.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -128419 divided by -135\nAnswer: 128419\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -1 + (14 - (7 + (0 - 4)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7 and 14369.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes before 8:44 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 + 2*t)*(19 + 16 - 42) to o + g*t and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 8\/7*x**2 - 60\/7*x - 36\/7 + 8*x**3 + 4*x**4 + 4\/7*x**5 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -3*o - 73. Suppose -27 = -5*q + o. Suppose -a + q = -31. Calculate the greatest common divisor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-23)\/(-3) - 7 - (-260)\/6. Let l = -29 + 33. Suppose -s = -5*n + 429 - 104, -n = l*s - y. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0\/2 + 1)*8\/(-28). Put -3\/4, -22, g in decreasing order.\nAnswer: g, -3\/4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-18) + (-122)\/18. Let o(p) = -p**3 - 8*p**2 - 6*p + 4. Let y be o(t). Let h(n) = -5*n**2 - 4. Let j(v) = -4*v**2 - 3. Determine y*h(q) + 4*j(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06470037544 rounded to 3 dps?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.657 - 10.143. Let c = -0.082 + 7.882. Let g = c + n. Which is smaller: g or 6\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1176 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000 + -10010?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6.48 and 3.5?\nAnswer: 22.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-55058)\/14*(-138)\/(-782). Let n = -694 - f. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a millisecond in microseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -23\/2 in 3, 0.5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4400 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-152)\/(-140) + (-2)\/7. Suppose 0 = -3*j + 2*q + 20, 2*q = -10 + 2. Let a be (-18)\/12*j\/(-6). Which is greater: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 911 + 1064 = -79*s. Let r = 130 - 133. What is the third biggest value in s, 5, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*d + 294*d - 2403 = 5724 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 628305479 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -4*u**3 - 6*u**2 + 6*u + 63. Let o(p) = -p**3 - p**2 + p + 1. What is c(v) - 6*o(v)?\nAnswer: 2*v**3 + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (10\/10)\/((-1)\/(-3)). Which is the second biggest value?  (a) 4  (b) -2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 53367855?\nAnswer: -1\/17789285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f**5\/5 + 384*f**4\/5 - 31848*f**3\/5 + 673166*f**2\/5 - 3220167*f\/5 + 4431042\/5 = 0 for f.\nAnswer: 3, 23, 77, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 2*z = -22, -3*f + 8*f - 4*z - 21 = 0. Suppose 5*u = -2*i, 0*u - i + 13 = -4*u. Let p = f - u. What is p rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -13*m**2 - 4*m + 1. Let r be c(6). Let y = 758 + r. What are the prime factors of y?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 3*l - l. Let c be ((-16)\/(-16))\/(3\/9). Solve -l = -5*h - 5*i, 4*h + c*i = 12 + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 411907457?\nAnswer: 13, 139, 227951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 249116 and 67704.\nAnswer: 19431048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6436086539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7227.114 kilograms in nanograms?\nAnswer: 7227114000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -2*j**2 + 14*j - 39. Determine s(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -22*o**4 - 138*o**3 + 263*o**2 + 3169393 with respect to o.\nAnswer: -88*o**3 - 414*o**2 + 526*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-1))**(4\/25))**(-16)\/((w**(1\/3)\/(w\/(w*w*w*w\/(w\/(w**1\/w))*w)))\/(w**(-1\/7)\/w*(w**(3\/4)\/w)\/w)) assuming w is positive.\nAnswer: w**(-6649\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -11*u**2 + 892*u - 75. Determine q(81).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*f**2*h**2 - 13*f**2*h*w + 39*f**2*k + 2*f*h**2*w - f*h + 2*f*k - 3*h**2*k*w - 30*h**2 + 15*k*w wrt f.\nAnswer: -26*h**2 - 26*h*w + 78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-735)\/(-28))\/15*2\/14. Put c, -5, 0.015 in ascending order.\nAnswer: -5, 0.015, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 610*q - 157*q - 7701 = 0 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -158, -420, -822, -1406, -2214, -3288?\n\"Answer: -7*k**3 - 28*k**2 - 129*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = 49 + 5. Let w(p) = 2*p - 6 - 6 + 0*p. Let i be w(g). Solve b = i*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 1068*i + 0 + 1.\nAnswer: -1068*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 2*a + 10. Let q(w) = 4*w**2 - 27*w - 18. Let t be q(8). Let n = -32 + t. Determine c(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/21 and 4\/(-14) + 1328\/924.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*m**2 + 10*m**2 - 151*m**2 + 0*m**3 + 9*m**2 + 129*m**2 - 2*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 291*f + 81813. What is p(-282)?\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 82, 80, 74, 64, 50?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2 - 78*v + 144.\nAnswer: 3*(v - 24)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*m - 16*m**3 + 6*m**3 - 2*m + 16*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -17188*x - 4107930. What is s(-239)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*a - 5*q - 281 + 244, 2*a - 3*q = 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3\/7 - 48*y**2\/7 + 234*y\/7 + 676\/7.\nAnswer: 2*(y - 13)**2*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4198.84996 + 4199. What is i rounded to three dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 731 divide 122775105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 43*o - 42*o - 4*m - 28, o + 2*m = -2 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 10, 3, 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3209 - 1607 - 1602 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - 1 - (-2 + 4 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 294771 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qnqunnauhundaaqqh. What is prob of picking 1 d, 2 h, and 1 q?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -4\/9  (b) 0.3  (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4320030 + 3?\nAnswer: 4320033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82076 is divided by 228?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*(-2 + 3)*-1. Solve 2*b = i*r + 6, -4*r - 4*b = r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -28 in 0, -0.3, -37, 0.5, 0.02?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -12a + -51?\nAnswer: -17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of -f**3\/3 + 5*f**2 + 6*f - 2. Let x be m(10). Calculate the greatest common divisor of 42 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 9 + 11. Let o = 10 - p. Suppose 6*f - 3*h = f + 275, -o*h + 27 = f. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 186175 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/11)\/d*d*d\/d**3)\/(d\/(d**8\/d*d)*d\/(((d*(((d*(d**(1\/7)*d)\/d)\/d*d)\/d)\/d)\/d)\/d)) assuming d is positive.\nAnswer: d**(151\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 PM and 8:00 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*u - 51. Suppose u*b - 9*b - 4 = 0. Calculate the greatest common factor of b and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3693006 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-90)\/25)\/(1\/(-5)). Let z be 0 + (q - 0\/1). Let u = z - -11. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 322*v**2 + 10*v + 8. Let h be y(-1). Suppose -2*m = -l - h, 2*m + 162 - 498 = -3*l. Calculate the greatest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 AM and 6:18 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = t, 2*q = 4*q + 5*t + 16. Suppose 3*p + 2*h = -1, -3*p + q = h - 2. Let l = 4 - 8. What is the closest to 0 in 0.1, p, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -263*f = -244*f - 38. Solve 3*k = 0, k + 6 = -f*h - 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*p - 2*p - 5*p)*(-3 - 2 + 2)*(106 - 53*p - 106).\nAnswer: -159*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/(-1))\/3 + 4. Suppose -w = l*w - 15. Let a(u) = u**3 - 4*u**2 - 3*u + 6. What is the remainder when a(w) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3206 at least as big as -3209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1272554 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 741.4193 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2*m**2 + 51*m - 42. Determine v(24).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 880\/(-660)*25\/(-40)*(-8)\/25.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 - 2)\/(-2) + -4. Let o = -29 - -85\/3. Put -3, o, l in ascending order.\nAnswer: -3, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 64537 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/(-12)*4*-1. Solve p*g - 14 = 2*z, z = 6*z + 25 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h - 3 + 3)*(-1 - 1 + 0)*(-1 + 4 + 0) + (2*h + 0 + 0 + 0*h - 2*h + h + (-2 - 1 + 2)*(0 + 0 - 2*h) - 2 + 2 + h)*(0 - 2 + 0)*(-4 + 1 - 1).\nAnswer: 50*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 15658627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 11616 = 2*v - 6*v, 2*b - 5815 = -5*v. Let g = 1939 - b. What is the units digit of 3\/6 + g\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -26229351*s - 20382111 wrt s?\nAnswer: -26229351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12263, 12265, 12267, 12269?\nAnswer: 12271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 23\/6 + (-58)\/(-348). Suppose 5 = d + 4, -5*d = n - 11. What is the greatest common divisor of j and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gug when three letters picked without replacement from bgjjbjbgbjjgjgbbu?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + y**2 - 1. Let v(i) = i**2 + 6*i - 1. Let h be v(-6). Let b be z(h). Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*50\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 352890\/(-65648) + 5\/(-5). Let c = j + 2\/4103. Calculate the common denominator of 137\/48 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 109 + -76. Let q = 33 - m. Which is smaller: -10\/23 or q?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 14, r: 4}. Give prob of sequence rmrm.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w + 1. What is t(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u, -2*b - 54 = 3*u - 366. Let l = b + -86. Suppose -2*a + l = 3*a. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -18*j + 133. Let u be o(7). Find the first derivative of u - 7 - 38 - 47 - 123*s wrt s.\nAnswer: -123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-88)\/(-836)*(-1 + 0).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 724 divided by -5\nAnswer: -724\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 19051 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/98 and -89\/361592.\nAnswer: 2531144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 18*q**2 - 8)*(15 - 11 + q + 19).\nAnswer: 18*q**3 + 414*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7692386 tonnes in milligrams?\nAnswer: 769238600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, i: 1, p: 6, x: 6}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (66\/(-4))\/((15\/(-4))\/5). Suppose u - g + 20 = 0. Suppose w - 110 + 24 = 2*m, -u*m + 94 = w. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1367291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 100.1307258 milliseconds?\nAnswer: 0.0000001655600625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 5 - 5)*(-3*p**2 + 2*p**4 + 3*p**2) + 8*p**4 + 7 - 7 + 0*p**4 - 3*p**4 + 5*p**4 to the form a*p**2 + s*p**4 + j*p + m + n*p**3 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -730, -5849, -19750, -46825, -91466?\nAnswer: -158065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125559 is divided by 172.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnmunmmumwmmmmmdmmm. Give prob of sequence mumd.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2106 is divided by 988?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2716 minus -54.9?\nAnswer: 2770.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 17, k: 1}. Give prob of sequence okoo.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 202 (base 6) to base 5.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -8902569 to the nearest 100000.\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 12 = -j - 59, -4*j = 4*o + 156. Let c = j + 72. Calculate the remainder when c is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 - 0. Let g(o) = o**3 - 7*o**2 + 2*o - 9. Let s be g(6). Let k = s - -97\/3. Which is the second biggest value?  (a) k  (b) -3\/4  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 + 13*d + 4. What is c(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, 37, -5, 1 in decreasing order.\nAnswer: 37, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 84227\/112292 + -2\/28073. Let h = 0.07 - 0.37. What is the smallest value in 32, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mqmmqmmmqmqmmqqqmmqq. Give prob of sequence qmm.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 8:15 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*s**5 - 172*s**4 + 16*s**3 + 688*s**2 - 384*s = 0 for s.\nAnswer: -2, 0, 3\/5, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 7 + -8 + 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1257.962 + -517.4. Let p = l - 740.5239989. Let x = -0.038 + p. What is x rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 - 8. Let v(u) = u - 1. Let k be v(z). Suppose 4186269 = -k*p + 1326269. Round p to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (3 + (9 - 3))) + 165 + -273.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -30, -64, -100, -138?\n\"Answer: -m**2 - 31*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2*a**5 - 3)*(3 - 3 + 8 - 4 + 1 + 4 - 3 + 2 + 0 + 3 - 3 - 1 + (2 - 6 + 2)*(5 - 1 - 3)).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-6*1*(0 + 1 + sqrt(192) + -5*(0 + sqrt(192)) + (sqrt(192) + (0 + sqrt(192))*-3)*3))**2.\nAnswer: -92160*sqrt(3) + 11059776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/8, -0.1, -1, -6\/7, -155\/3, -0.31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -2*k + 154, -4*k - 5*g = -42 - 221. Is 24 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -4*z. Let r = 9 + -4. Suppose r*y = -0*y + 10. Let j(c) = c**y - 2*c**2 - 3*c**2 + 7*c**2. Determine v(j(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -4. Suppose 0 = 5*u - m*u + 70. List the prime factors of 9\/21 - 78\/u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*x - 3*x = 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 + 41*t**2 - 76*t - 10. Let p be f(39). Let z be (p\/(-170))\/(3 + (-138)\/10). Which is the third smallest value?  (a) -5  (b) 0.2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (29 - (-29 + 28)) + -61 - 7\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4)\/(-8)*46 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x**5\/4 + 4652*x**4\/3 - 28842395*x**3\/12 - 19247909*x**2\/6 + 800833*x + 1603734 = 0. Calculate x.\nAnswer: -1, 2\/3, 3102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 142*p**2 - 24*p**2 + 58*p**2 + 40*p**2.\nAnswer: 216*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffqqqqfqfq. Give prob of picking 1 f and 1 q.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1450, 2896, 4346, 5806, 7282?\n\"Answer: a**3 - 4*a**2 + 1451*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9 + 35)\/(4\/2). Calculate the greatest common divisor of a and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.420965 - 2.41. Round l to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {t: 9, n: 11}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -2*r - 4*x, -5*r + 2*x = -1 + 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + 6 + ((-1398)\/(-48) - (-4)\/(-32)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1030765*g**4 + 1476874*g**2.\nAnswer: -24738360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 AM and 10:33 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28.7 - 29.1. Let g = -29 + 27. What is the fourth biggest value in -0.5, g, -1, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2203 (base 4) to base 12\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -5*y**2 - 4*y. Let a(u) = 5*u**2 + 3*u. Let q(h) = -4*a(h) - 3*g(h). Let n(w) be the second derivative of w**3\/6 - 3*w. Determine n(q(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 5912892, 11825782, 17738662, 23651526, 29564368, 35477182?\n\"Answer: -n**3 + n**2 + 5912894*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.01?  (a) -2\/9  (b) -7  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*h**2*t**3 + h**2*t**2 + 26*h**2*t + 16*t**3 - 7 wrt t?\nAnswer: 54*h**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6324 and 8308.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 43011 - 7?\nAnswer: 43004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -23*i**2 - 2075*i - 2074. What is j(-1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n + 4*n - 7*n)*(-2 + 2 + 2*n**2)*(-11*n + 7*n + 9*n) - 2*n**2 + 0*n**2 - 2*n**4 + n**4 to the form z*n**2 + f + x*n**4 + k*n**3 + c*n and give x.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 148 - 88. Let o = 20 - m. Let l be (16\/o)\/((-1)\/(-10)). Which is the biggest value?  (a) -0.2  (b) -4\/3  (c) l  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 949, 862, 717, 514, 253, -66?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 116692103 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11*(50\/(-5))\/(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nknkknkk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xeebkuqq. What is prob of sequence qkeu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x - 5*x + 3*x + x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111*p**3 - 94*p**3 + 2*p**2 - 119*p**3 - 2*p**2.\nAnswer: -102*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/23)\/a**(-21))\/((a**33\/a*a)\/a**(9\/4)) assuming a is positive.\nAnswer: a**(-905\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*a + 277 = 438. What is the highest common factor of 2653 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20 is divided by 210\/18 - (-4)\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -1167, 3, 16 in increasing order.\nAnswer: -1167, 3, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from bxbxvvzzvzv.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3600178631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + -a0?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4, 2, -2, 3, 19 in ascending order.\nAnswer: -4, -2, 2, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -627*m - 377 = -598*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -2. Suppose i = -2*c - 4*a - 8, 32 = 4*c + 3*a - 7*a. Sort c, -2, 0 in decreasing order.\nAnswer: c, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-33)\/(-6))\/(-11)*6\/27?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) 0.4  (c) 0.3  (d) 14537\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 8 = 0, 3*t + 2*q + 20 = -3*q. Suppose t = -5*m - 3*m + 24. What is the units digit of (-2 + m + -2)*-46?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 6865070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 17370 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 37 + -13. Let y be (t\/10)\/(2\/10). Solve i = 5*i + y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 5*i - 24. What is the smallest common multiple of h(6) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3739163878 to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 take away 4.4?\nAnswer: 29.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 16843 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6088 + 391*j**2 + 546*j**2 + 6088 to m*j + q + r*j**2 and give r.\nAnswer: 937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 6, x: 9, c: 1, y: 1}. Give prob of sequence cx.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*u - 30 = -2*l, -1 = 4*l - 4*u + 5 - 26 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*i + 20*i - 2*t - 506 = 0, 5*t = 25. Which is smaller: i or 134?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14964869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -240, -215, -190, -165, -140?\n\"Answer: 25*j - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 193, -167, -545, -947, -1379?\n\"Answer: -y**3 - 3*y**2 - 344*y + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 48265001 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 116858\/119 + (-1)\/(-3)*(2 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v**4 + 7*v**3 + 19*v**2 - 163*v + 210 = 0. Calculate v.\nAnswer: -5, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 745 + -752 - (-31 + 4)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -17*f + 91. Let q be v(5). Let p(w) = 68*w**3 + w**2 - w - 1. Let o be p(-1). Let i = -31 - o. What is the highest common factor of q and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (292\/10)\/((-7)\/735). Let p = 7729 + l. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -91676, -91653, -91614, -91559?\nAnswer: -91488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 1. Let n(g) = -g**3 - 6*g**2 + 3. Let b be (-1 + 0)\/(1\/6). Calculate the remainder when x is divided by n(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4247 - 2765. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*a + 124089 - 123849 = 0 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 3*a - 0*a - 160, -205 = -5*i + 5*a. Let m = i + -26. Let y(h) = 43*h + 2. Let v be y(2). What is the greatest common factor of v and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, 0.1, 146 in decreasing order.\nAnswer: 146, 2\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.3 and 0.024.\nAnswer: -0.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -479*w = -475*w - 264. Find the second derivative of -127*d**2 - 7*d**2 - 4*d - 6*d + w*d - 23*d wrt d.\nAnswer: -268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 52, 92, 170, 286?\n\"Answer: 19*f**2 - 17*f + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 4*i = i, 0 = -3*i + 3. Suppose -c*k + 3*p = 5, 2 = 2*k - p + 3. What are the prime factors of 3 + 154\/k - 1*-3?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26013586 divided by 3\nAnswer: -26013586\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a millisecond in microseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 358615?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.67083 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 less than -22?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - -1. Suppose d*n = -6*n + 11265. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144 = 4*l + 3*k, -4*k = -l + 17 - 0. Let a = -14 + 36. Calculate the highest common factor of a and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1084 - 1084.0000057255. What is c rounded to 7 decimal places?\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -33 + 37, 4*g - 24 = -2*f. What is the closest to -1\/2 in -3, 3, 8, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/333 and 4\/407.\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 22*p**2 + 17*p + 5. Let t be m(-2). What is the greatest common divisor of t and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-45)\/(-10) - 5)*-46. Find the third derivative of 12*x**3 - 11*x**3 + 7*x**2 + 1 + u*x**3 wrt x.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k**(-22)*k)*k**4)**(-11\/5) assuming k is positive.\nAnswer: k**(-286\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4 + (-51)\/(-17) + 6. Suppose 0 = -5*p + 4*g - 6, 2*p = -5*g + 5 + 19. Suppose -137 + 7 = -p*w. What is the highest common divisor of u and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 5*g = -2*u + 12, 3*g - 12 = 2*u. Suppose -g*i - 316 = 152. Let y = i + 451. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19285 (base 12) in base 16?\nAnswer: 8f45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 - 11*w**2 + 5*w - 12. Let y be f(11). What is the highest common divisor of 129 and y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 212386613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = 19*j + 3*i, -1017*j = -1016*j - i - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1857138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 15106?\nAnswer: 15106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (-1 - (-1 + (8 - 3) + 4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -961?\nAnswer: 2\/961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*x - 26*x - 407 = 0. Suppose -3*o + x = 107. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from njjngbngxjg. Give prob of sequence jj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.4, 4\/3, 3\/94, 6 in descending order.\nAnswer: 6, 4\/3, 0.4, 3\/94, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 4*h = -5*x - 16, 31 = 2*h - 5*x. Does 29 divide 2\/h - (-425)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 73 + -73. What is the third smallest value in -4\/5, -0.06, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 38\/486287 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-2)*(52\/20)\/13*306\/17?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -3 + 0 - b + 0 + 0*b. Give q(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8998874mm in micrometers?\nAnswer: 899.8874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 5 = 10, -2*p + f + 5 = 0. Suppose -256 = 2*b - 0*b. Let r = -894\/7 - b. Sort -2, p, r in descending order.\nAnswer: p, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 4389*c**2 - 8*c + 4. Let u(q) = -8777*q**2 + 18*q - 8. Let n(a) = 2*u(a) + 5*z(a). Is n(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 843\/5 + -2879\/15. Let j = g - -25. Let q = 2 - j. Sort -5, 5, q in decreasing order.\nAnswer: 5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**2\/7 - 380*d\/7 + 384\/7.\nAnswer: -4*(d - 1)*(d + 96)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3868 - -3917. What is the least common multiple of 2 and m?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 212189.\nAnswer: 424378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11001110 - 1?\nAnswer: 11001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 + 186*b**2 + 335*b + 539. Is x(-84) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 23, -41, 30 in descending order.\nAnswer: 30, 23, -8, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -2*n + 8. Let r(x) = -485*x - 160. Let h(u) = -5*r(u) - 100*s(u). Let i(j) = -2*j. Determine i(h(y)).\nAnswer: -5250*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -37973239\/786 - -48312. Let x = l + 11611\/1965. What is the common denominator of (423\/6)\/(168\/8) and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 7, n: 1, k: 3, h: 2, m: 5}. Give prob of sequence xx.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 2 j when four letters picked without replacement from lhlhldjlddllhdlhdj?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + c2c?\nAnswer: c33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 205 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11451 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + q - 789 = -819, p + 5*q = -30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -0*h - 2. Does 17 divide (4\/(-8))\/(h\/(-68))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 537 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - -8) + 9 - 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + o + 1 = 0, -39*i + 3*o - 6 = -36*i. Solve 3*v = -0*v, -f - i = 2*v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/924 and 89\/187176.\nAnswer: 1310232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-16) - 516*4\/(-256)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*t - 51*t = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1997601 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -5, 0, 6111, 2\/1085, -4?\nAnswer: 2\/1085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-136)\/(-476) - 7548\/24752.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (55*l - 354 + 709 - 354)*(3 + 10 - 3 + 8) to the form p + z*l and give z.\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-100)\/(-12) + -7)\/(1\/3). Solve -3*u - 2*q = -12, 3 + 17 = 5*u - l*q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-3)\/(-21) - (4 - (-47278)\/(-49))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*y + 154 + 122 = 60 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -315*p. Let l(r) = 105*r. What is -3*h(v) - 8*l(v)?\nAnswer: 105*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2*h - 16. Let y be c(-9). Let p(r) = -r**2 + 9*r**y - 3*r**2. Let s(b) = 8*b**2 - b**2 - 3*b**2. Calculate 3*p(k) - 4*s(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8 and 20848.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 9 = -2*s. Suppose 4*t + 5 = s*t. Let a be (5 + t)*(-1)\/(-2). Solve -3*y + 6*y = a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2, -45, 2, -31, 58 in increasing order.\nAnswer: -45, -31, -2, 1, 2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-332)\/72 - 6\/9 and 109\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5375 is divided by 1140.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 PM and 1:35 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -j**2\/4 + 711*j\/2 + 240250 = 0.\nAnswer: -500, 1922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-20))\/((-12)\/15).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o - 198. Let i(y) = -21*y**2 + 22*y**2 + 26*y**2 - 30*y**2. What is i(r(g))?\nAnswer: -12*g**2 + 2376*g - 117612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 8*z + 3. Let m(o) = 2*o**2 - 7*o + 2. Let s be m(4). Let u(p) = -9*p - 4. Give s*u(n) + 7*f(n).\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17*5\/((-50)\/(-1))*10.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 213007382 to the power of 1\/2, to the nearest integer?\nAnswer: 14595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59 + 55 = -4*u + 3*j + 112, -6*u - 6 = -3*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xnxxxjjxnj. Give prob of sequence xxx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.645002 - -2303811.\nAnswer: 2303810.354998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -367 * 2\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -21 less than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of -2905*((-909)\/45 + 16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - 2115917?\nAnswer: -2115919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*p - 8*p - 14*p + 44*p - p**3 in the form m*p + h*p**3 + c + q*p**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -16*l + 4*r - 5*r + 45, 3*r = -l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2 + 3228243*m + 3228244.\nAnswer: -(m - 3228244)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*i**2\/2 - 391607295*i - 51118757832405675\/2 = 0. Calculate i.\nAnswer: -130535765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-12))\/(18\/135).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(539)*-3 + 0 - -5*(sqrt(539) + 1))**2 - (sqrt(539) + sqrt(539) + sqrt(539)*5*-2)*2) + 5.\nAnswer: 252*sqrt(11) + 2186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 4 + -4*((-5*5*(sqrt(110) + -1*((sqrt(110) - ((1*sqrt(110) - sqrt(110)) + sqrt(110) + sqrt(110))) + sqrt(110)) + sqrt(110))\/sqrt(10))**2 + 0)*-1.\nAnswer: 110009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*q, 30 + 50 = 4*u + 4*q. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 109058?\nAnswer: 2, 31, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 27*l + 21. Let x(y) = -y - 1. Let m(u) = 3*n(u) + 63*x(u). Let h(p) = -2*p. Give h(m(o)).\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4430\/21 - 31579\/105. Let f = -2419\/30 - c. What is the common denominator of f and 32?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*j - 3*j - 3*j)*(2 + 0 + 7) - 16*j + 12 - 12.\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 158226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.116 times -0.27?\nAnswer: 0.03132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-70)\/(-8)*6376\/3985?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -13687 - 1?\nAnswer: -13688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**2 - 126*a - 602. Let l be u(-5). Solve l*x - 4*o = 17, -5*x - 3*o = -2 - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7372307*f**2 - 1911436*f wrt f.\nAnswer: 14744614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 204*g + 19*g - 9984 = -33*g for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 48 = 5*d. Suppose 4*v = 21 + 75. Suppose -3*o + 5*o - v = 0. What is the smallest common multiple of d and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-818 + 818 - 28*h - 3*h + 2*h + 0*h + (2*h - 2*h + 3*h)*(2 + 1 - 4))*(2 + 4 - 2) in the form p + g*h and give g.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t**3\/5 - 368*t**2\/5 + 743*t\/5 + 222 = 0.\nAnswer: -370, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 131208 divided by -43736\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**2 + 23*j - 40. Suppose 4*n - 1 = -5. Let z be (17 + -10)*(-3)\/n. Let o be k(z). Solve -3*r + 5 = o*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 229640863?\nAnswer: 857, 267959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/17, 1, 19, -0.048, -4?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -4*v**2 + 14*v + 1. Determine j(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -294793*-7.\nAnswer: 2063551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.045 - 0.807. Let p = 0.148 - u. What is the biggest value in 0.4, 10, p?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -4*x - 456, 4*s + 3*x - 253 = 2*s. Suppose c - 42 = 3*b - 4, 4*c = b + s. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = 264*m - 212 - 1143 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2744629?\nAnswer: 2744629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10661 - 11553.8. Let x = a - -893. Let w = -0.1 + 0.1. Sort -2\/9, x, w, 4 in increasing order.\nAnswer: -2\/9, w, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 29, 2 in descending order.\nAnswer: 29, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 51*g**2 + g + 5. Let j = -8 + 2. Let w be s(j). Suppose 12014 = 11*o - w. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 88 + -90. Let i = 17.96 + -1.36. Let q = i - 1.6. Sort -3, x, q in decreasing order.\nAnswer: q, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 1*4*((sqrt(68) + 2*sqrt(68) + 2)**2 + 1).\nAnswer: 96*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 2*s = 8 + 4, 5*s + 15 = 2*w. Let g(j) be the third derivative of j**5\/60 - j**4\/24 + j**3\/6 + j**2. List the prime factors of g(w).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 36. Let w = c + -11. What is the remainder when w is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 92352, 369424, 831216, 1477728, 2308960, 3324912?\n\"Answer: 92360*b**2 - 8*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 AM and 12:05 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*n + 26*n + 110 = -2*x + 82*n - 23*n, n = 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3 <= -1432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33402, -33396, -33368, -33312, -33222, -33092, -32916, -32688?\nAnswer: -32402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 + i + 7. Let a be (-4 - -5)*(-1 + 1). Let h(s) = a*s**2 - s + 3*s**2 - 4*s**2 - 4. Calculate -5*h(k) - 3*u(k).\nAnswer: 2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 84444 and 534.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(68)*5*-4)\/((-4*(sqrt(40)*-2 + sqrt(40)))\/sqrt(10))*6 + 2.\nAnswer: 2 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -100 + 99. What is the remainder when (9\/(-6))\/(a\/84) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-76 - -46 - -81) + (-2 - 6)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -4*v**2 + 9*v + 1. Let g(u) = -3*u**2 - u + 4. Let r(h) = 5*h**2 + 2*h - 7. Let i(f) = -7*g(f) - 4*r(f). Determine -b(z) - 6*i(z).\nAnswer: -2*z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.0647983 grams?\nAnswer: 0.0000647983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 3426192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-132)\/594*(-18)\/10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 10:22 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2089214847190 + 2?\nAnswer: -2089214847188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - 0. Suppose y - 3 = -0. Let j be (-76)\/80 - 4\/(-20). What is the second smallest value in j, y, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 465 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/12 and -37\/53148.\nAnswer: 53148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.07*-0.05183\nAnswer: -0.0036281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.8 - -2.2. What is the closest to 0.9 in 4, c, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 944 and 15184?\nAnswer: 895856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r - 44*r - 16 + 17*r + 10*r. Calculate n(5).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*d**3 - d**3 - 578 + 581 - 16*d**2.\nAnswer: 11*d**3 - 16*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2604561, -5 in increasing order.\nAnswer: -2604561, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 6*v. Let i be z(1). Let y = -10 + i. Let a = y + 6. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4 + 9)*324\/60. Solve p*j = 38*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cbwobobbcbbcbboooc. What is prob of picking 1 c, 2 o, and 1 w?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3786521.\nAnswer: 3786521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 401102 < 400987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - -9. Let y = 84177 + -84176. Which is the closest to y?  (a) j  (b) 4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1380582 is divided by 4897.\nAnswer: 4525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 151 + -47. Let l = b + 569. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 534201766 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -15 * -1607.2544\nAnswer: 24108.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert c5b4b (base 16) to base 10.\nAnswer: 809803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 AM and 11:36 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5 - -2784778244\nAnswer: 2784778249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 225455774.00001264 + -225455932. Let u = 158 + t. Round u to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4037 + 4037. Which is greater: x or -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 6, u: 6, g: 4, z: 3}. Give prob of sequence ll.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-68)*(7 + -5) - (-6100)\/170?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -670400 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/18598 and 47\/4182?\nAnswer: 2287554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + 17 + -11 - 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 1 = 10*j, 2*k + 4 - 22 = 2*j for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 216 + -214. Let r(y) be the third derivative of 0*y + 0 + 4\/3*y**3 + 4*y**d - 3\/8*y**4. Differentiate r(n) wrt n.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 520\/260*2*1\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 5*r. Let m = 27 + r. Suppose 5*f = -3*x - 10, m = 5*x - f - 3. Solve 4*j - 2 = -3*n, 3*j - 8 = -x*n + 6*n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -349 - -350. Is -154 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3118 = -13*n + 145. Suppose -10 = 2*v, 3*a - n = 4*v - 0*v. What is the greatest common factor of a and 1309?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/388 and -5\/291?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -216*r + 570 = -210*r. Solve 19*m = -0*m + r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*w - 90 = w. Calculate the highest common divisor of 489 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/143 and -71\/161287958.\nAnswer: 1774167538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5501 by -56.\nAnswer: -5501\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 115*x**2 - 115*x**2 - 94*x**3 + 0*x**3 + x**3 + x**3 + (x - 1 + 1)*(-3*x**2 + 2*x**2 + 0*x**2) - 4*x**2 - x**3 + 4*x**2.\nAnswer: -94*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 280026645.\nAnswer: 3, 5, 83, 224921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 + 6*n**2 + 18*n - 7. Let t be (-21 - -22)*(-2)\/(4\/(-2)). Let s(x) = 5*x + 3. Let h be s(t). What is the units digit of p(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 57 + -56.81. Let n = q - 1.19. What is the biggest value in -3\/5, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -1837\nAnswer: 918.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 + 12*s**2 - 11*s + 24. Let u be o(-13). Let w = -1003 + 1002. Which is the third biggest value?  (a) w  (b) u  (c) 0.2  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 7:30 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 + -24.8. Let y = -1.2 + r. Do y and -2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 45353414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of 83*m**6\/660 - 499*m**5\/165 + 251*m**4\/11 - 24*m**3\/11 - m**2 - 714*m. Find s, given that u(s) = 0.\nAnswer: 2\/83, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 3*p - 36 = 0, -37*p + 39*p + 32 = -4*d - 8 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2856 + -2855. Put o, -0.3, -1 in increasing order.\nAnswer: -1, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*k - 5*k - 2*k)*(-2 - 4 + 4)*(15 - 15 + 4*k) to y + r*k**2 + j*k and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 5 = -60. Suppose -r = -2*t + 1. Let m = t + 2. Is 9 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88362 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of 4*o**5\/5 + 14*o**4 + 48*o**3 + 68*o**2 + 44*o + 699. Factor q(f).\nAnswer: 4*(f + 1)**3*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-11)\/w**(-13)*(w**(-1\/5)*w*w)**42 assuming w is positive.\nAnswer: w**(388\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 + 6. Let b(i) = -i**2 + 7. Let x(k) = 6*b(k) - 7*r(k). Let o(g) = -44*g + 283 - 283. Calculate o(x(f)).\nAnswer: -44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 PM and 4:14 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 107 and 222346.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 13 = 5*v, 4*v - 4 = -0*v. Let k = 88 + -88. Suppose 0*x - x = 5*r - 24, k = 3*r + x - 16. Solve f = -m - c, -r - 6 = 2*m + 3*f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 - 8*v**2 - 6*v + 8. Let x be s(-7). Let q be (-4)\/x*1\/(-1). Suppose 0 = b - 4*y - 24, -2*b - 2*y + 37 = y. Solve -q*p = b - 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = -0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -57*n - 55. Let d be a(-1). Solve 0*g + 2*g - q + 7 = 0, 0 = -2*q - d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -0*m + 211. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - 2*b**2 - 6*b - 4. Let r be t(4). Suppose -r*v + 3*v = 30. Let d = v - -37. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -176 = 2*q - 172, -3*q - 14 = -2*p. Suppose -4*v = 5*t + 24, p*v + 16 = 26*t - 29*t. Let f = 4 + -3. What is the nearest to 0 in f, -1\/3, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 127648258 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 9.76751nm?\nAnswer: 0.000000976751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (11 - 366\/30)*1200\/(-9). Solve 163*m = p*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 81 - 167 = 0. Suppose -5*z - 6 = -k. Suppose 0 = z*b + 5*s - 190, -2*s + 188 = 4*b - 7*s. What is b rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1213715*l - 404929*l - 403851*l - 404930*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-48)\/(-14))\/(-6))\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -8*m**2 + 19*m**2 + m - m**3 - 12*m**2. Let r(y) = -12*y**3 - 9*y**2 + 9*y. Calculate -9*f(k) + r(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, n: 1, e: 2, v: 1, a: 1, g: 1}. Give prob of sequence agv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (14\/42)\/((-8)\/(-60) + (-3)\/10). Let z(a) = a + 8. Let p(j) = 3*j + 23. What is h*p(v) + 7*z(v)?\nAnswer: v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 40257672 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/(-6))\/((-3)\/12). Suppose -r - 4*w = -9, -3*r - 3 = 3*w - w. Put r, 0, s in descending order.\nAnswer: 0, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 51448\/11 + -4672. What is the common denominator of n and 29\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.026813993 rounded to 3 dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 38461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.35 + -0.05. Let w be (-57)\/(-60) + 2\/(-4). Let u = -1\/4 + w. Which is the third smallest value?  (a) m  (b) u  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = -4*w, -7*w = -2*w + 5*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > 2\/257911823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 4*r - 14 = 0, o = 6*o + 3*r - 15. Let s(l) = -l**2 + 7*l - 3. Let t be s(o). Is 1\/(-2)*(t + -1537) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50374517 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*m + 3227 = -823. What is the lowest common multiple of 225 and m?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62824543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hxxu when four letters picked without replacement from hixiihusxxx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2001\/6670*((-1)\/(-3) + -1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of -5\/7*w**2 - 8\/21*w**3 + 2 - 4\/7*w - 1\/14*w**4. Factor m(r).\nAnswer: -2*(r + 1)**2*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of 16*o**2 - 1\/60*o**5 + 3\/8*o**4 - 7\/6*o**3 + 0*o + 0. Give l(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 3, q: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 18 + -139?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k**5 + 8*k**4 + 416*k**3 + 3600*k**2 + 11664*k + 12096 = 0. Calculate k.\nAnswer: -6, -2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 91932 divided by 53.\nAnswer: 91932\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - t - 3*k, -t - 2*k + 12 = 0. Let l(p) = 2*p**3 - 1 - t - p**3 - 4*p**2 + 3. Is 23 a factor of l(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2334612 + 2?\nAnswer: -2334610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -3*d - 1. Calculate the least common multiple of d and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3906043 + 3906043 + 170*q**3.\nAnswer: 170*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4069188*y**5 - 4204575*y**2 wrt y.\nAnswer: -244151280*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of h**5 + 1149*h**4 + 26*h**3 + 125919*h**2.\nAnswer: 60*h**2 + 27576*h + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1495\/(-2340) + (-8)\/72?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -77 - -22. Let d = w + 76. Solve 4*y + 0*y + d = -5*c, -y - 6 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 + 30*h - 65. Is 5 a factor of v(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 7 = -f, 3*f = -n - 0*n - 9. Suppose -2*c + 3*v + 31 = 0, -2*v = 3*c - 8 - n. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7, -15, -41, -71, -105, -143?\n\"Answer: -2*y**2 - 16*y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**4 - 146*s**3 - 1816*s**2 + 4224*s.\nAnswer: -s*(s - 2)*(s + 16)*(s + 132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of -2*g**6\/15 - g**3\/2 - 4*g. Find the second derivative of m(z) wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*z**4 + 2384*z**3 + 705648*z**2 - 2851264*z + 2860832 = 0. What is z?\nAnswer: -598, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/14*(-588)\/168. Which is the third biggest value?  (a) -12  (b) k  (c) -5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 859 is divided by 832.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1064.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 328458?\nAnswer: 2, 3, 13, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -358*j = -4993 + 4130 + 38453 for j.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 22638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12531 is divided by 368?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 11\/10 of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -7*(-1150)\/(-875) + ((-4)\/10)\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**16\/(m*m*m**(-5\/2))*m**(-3\/7)*m**(-1\/2) assuming m is positive.\nAnswer: m**(109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the third derivative of a**7\/630 - a**6\/36 + 17*a**5\/180 - a**4\/9 + 2*a**2 + 58*a. Factor l(x).\nAnswer: x*(x - 8)*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3167.1 minus 2?\nAnswer: 3165.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 - r**2 - r + 314. Calculate c(0).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1020, 1863, 2706?\nAnswer: 3549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 k, and 1 q when three letters picked without replacement from zzzxzeeqevqkvvqzvq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 greater than 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t. Let s(k) = -67*k - 76*k + 138*k + 0 - 3. Give s(c(q)).\nAnswer: 5*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26678, 213545, 720762, 1708505, 3336950, 5766273?\nAnswer: 9156650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of 17*y**8\/84 + 2*y**6\/15 + 3853*y**4\/24 - 4048*y**2. Find the second derivative of w(p) wrt p.\nAnswer: 1360*p**3 + 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1713.576 and 9?\nAnswer: 1722.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 206 + -126. Suppose 5*m - 5*n - 26 = 74, -5*m + n = -a. Suppose -2*h = -8, 2*g + 3*h - m = 31. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 21\/(-18) + (-470)\/(-188). Solve 0*u + 0 + j*u**3 - 2*u**2 + 2\/3*u**4 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of l**4\/2 - 4*l**3\/3 - 100*l**2 - 90. What is the second derivative of g(r) wrt r?\nAnswer: 12*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 262 (base 12) to base 6.\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + (sqrt(77) - (-1*sqrt(77) + sqrt(77)))\/sqrt(11) + sqrt(84)\/sqrt(12)*-1)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 873770492 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 + 24\/(-4)*1. Suppose -3*f + 2 = 5*d, d = 2*f - d + 20. Let v be (x\/4)\/(f\/24). Solve 2*r - v + 8 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -86*d**3 + 2*d**2 - 74?\nAnswer: -258*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 13. Let c(j) = -23 + 16*j**2 - j**3 - 9*j + 6*j + y*j. Let m be c(16). Calculate the highest common factor of m and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2232)\/(-4836) + (-9)\/((-117)\/202). Suppose -295\/3*y**3 - 76\/3*y**2 + 196\/3*y - f + 25\/3*y**4 = 0. Calculate y.\nAnswer: -1, 2\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6166.09 + -6166. What is the closest to 0 in -2, -4, l, -18\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3087, 2539, 1991?\nAnswer: 1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4*o, 0 = 5*v + 3*o - 6295. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -23*h**2 + 3*h - 4. Let m(r) = r**2 + r - 1. Let i(p) = 4*m(p) - z(p). Let y(d) = 276 - 276 + d. Determine i(y(a)).\nAnswer: 27*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + 0 + sqrt(11))**2*-5*-5 - ((0 + sqrt(11) + -5 + sqrt(11))**2 + 4 + sqrt(44) + sqrt(11)).\nAnswer: 17*sqrt(11) + 1027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhxhxxhxhhxx. What is prob of picking 1 h and 3 x?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-2)*2352\/(-840).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -49, -48, -45, -40, -33, -24, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -54*z - 18781. Calculate v(-348).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 260 + -146. Let a(i) = i**2 - 3*i + i**2 - 2 - 7*i**3 + 2*i**2. Let c be a(-2). Calculate the highest common factor of x and c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 3*r - 494 = r, s - 170 = 4*r. Suppose -4*w + s = 5*d + 40, -d - 2*w + 28 = 0. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -138595\/63776018 + -1\/46654. Let l = g - 154429\/19138. What is the common denominator of 89\/2 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/18 + 13\/(-6). Let q be k - 3\/((-36)\/8). Let j = 6.1 + -6. Which is the closest to 2?  (a) -1\/5  (b) j  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2*v. Let b(u) = -109*u. Determine b(d(m)).\nAnswer: 218*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*l + l + 0*l)*(-4626*l - 35*l**2 + 42*l**2 - 1 - 8*l**2) to o*l**2 + u*l + s + c*l**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 - 1619*u - 22862. Give d(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2727, -5460, -8195, -10932?\nAnswer: -13671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/80 of a century?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 63243, 505959, 1707627, 4047723, 7905723, 13661103?\n\"Answer: 63246*d**3 - 6*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*o - 68*o**2 - 10*o + o**4 - 45*o**2 as t*o**3 + f*o**2 + j + s*o**4 + a*o and give f.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189 is divided by 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 11457.962221 to the nearest ten.\nAnswer: 11460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -220313 + -1?\nAnswer: -220314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-13 + -4)*-1 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12?  (a) -4  (b) 12.1  (c) 1\/11  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*m - 14*m = -16*m + 161 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 351\/(-26)*(0 + 38\/(-3)). Let f = 226 - y. Calculate the remainder when f is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 75 = -z + 107, 5*z = -v + 988. List the prime factors of z.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((14\/(-12))\/7*-2)\/((-610)\/1830)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 7*g**2 + g - 3. What is the hundreds digit of l(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -58a38 (base 12) to base 4\nAnswer: -131003030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 9\/(6\/2) + 4. What is the greatest common factor of m and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4499, 9000, 13501, 18002, 22503?\nAnswer: 27004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -26*k + 1. Let y = 21 + -16. Suppose -y + 1 = 2*a. What are the prime factors of p(a)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 142*x - 558. Give t(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3303 in -0.1, -3\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 7*r - 107. Let k be v(16). Which is the biggest value?  (a) -0.1  (b) 3  (c) k  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1325 + 1330. Solve 5*o + 10 = s*d - 10, 2*d = 5*o + 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 6 - 2. Suppose -u*t - 5 = 3. Let o be 0\/t*1\/2. Solve o = j - 5 + 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 4*x - 3*j + 37, -3*x - 2*j = 32. Let g be (-118)\/x + 8\/40. Suppose -g + 34 = l. Calculate the highest common factor of l and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4 + 4 + -1 - (-6 - -3). What is the closest to 13 in -0.3, l, 1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5963557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-204)\/(-14) - 18\/(-42). Suppose 7*h + 20 = -o. What is the closest to -1\/3 in 2, 3, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -697 + 1075. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -33*t**2 + 23*t + 418778 = 0. What is t?\nAnswer: -3706\/33, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12774*h**4*q**3 + h**2*q**2 + 7817*h*q**3 wrt h?\nAnswer: -153288*h**2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2 - 96620*s + 10252956.\nAnswer: -(s - 106)*(s + 96726)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 44\/38 + (-3 - -2). Suppose -4*f - 32 - 24 = 4*v, 4*v - 63 = 3*f. Let u = -17 - f. Is u bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -47*x**5 - 1150*x**3 + x**2 - x + 3172?\nAnswer: -2820*x**2 - 6900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 5*c = 3*m - 76, 3*m + 4*c = 56. Suppose -2*o + m = -0*o. What is the remainder when 35 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*n**3 - 2*n**3 + 0*n**3 + (8*n**2 + 8 - 8)*(-1 - 2*n + 1) + (-2*n**2 - 4 + 4)*(2*n + 1 - 1).\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -2*p**3\/11 - 10*p**2\/11 + 12*p\/11 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 544200 = -10*h. Is h\/8*(-2)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 6*r = -38, 3093*r = -p + 3102*r - 55 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -175.59 * -73.3\nAnswer: 12870.747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 AM and 8:06 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 + 39\/8*j**2 - 189\/8*j = 0. What is j?\nAnswer: 0, 63\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -4*p + 4 - 11 + 1 + 3. Calculate the remainder when 14 is divided by h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 22. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*y + 11*y + 3*y**3 - 2*y**3 wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -555, -2184, -4909, -8730, -13647, -19660, -26769?\nAnswer: -34974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 1470, -7\/2, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 165\/8 at least as big as 2913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -458 - -467. Which is the closest to i?  (a) -3  (b) -0.5  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.2 - -1.2. Let p = -16 + 95\/6. Suppose 6 = -5*l + 2*s + 34, -s - 16 = -3*l. Which is the second biggest value?  (a) y  (b) l  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 531270.\nAnswer: 2, 3, 5, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 35 = 5*d - 36, -4*n + 4*d + 12 = 0. Suppose n*b = 211 - 179. Let i = 92 + -60. What is the smallest common multiple of b and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 l when four letters picked without replacement from {b: 3, a: 8, u: 2, v: 4, l: 2}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 x when three letters picked without replacement from {l: 1, y: 3, i: 4, s: 1, x: 5, n: 6}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9)\/12 + 195\/4. Let l = 1 + 4. Suppose 2*o = l*a - 4, -4*o = o + 2*a - f. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**4 + 25*v**2 + 2 + 0*v + 9*v - 49*v**2 + 29*v**2 as g + m*v**2 + y*v**3 + x*v + u*v**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 211\/1084578 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 355026608 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/2*(-4)\/(-7)*2\/(-4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3 and -0.668878.\nAnswer: -3.668878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1347 + 627. Let l be (v\/8)\/(1\/(-32140)*-6). What is l rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2499674 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 4 = 20. Let t = -11 + g. Solve 4*v = -4*b - 27 + 3, 4*v = -t*b - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63.57902nm in millimeters?\nAnswer: 0.00006357902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 7*b**2 - 6 + 6 + 9*b + 9. Let u(l) = 3*l**2 + 4*l + 4. Let z(i) = 4*t(i) - 9*u(i). Let j(d) = 14*d. Determine j(z(c)).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7485441 is divided by 1871360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2713394 = -2*d + 19*r - 17*r, 2*d + 2*r - 2713406 = 0. Round d to the nearest ten thousand.\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s**2\/2 - 12616527*s + 53058917847243\/2 = 0. Calculate s.\nAnswer: 4205509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1000980768.\nAnswer: 2, 3, 173, 60271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -172*g**2 - 5 + 5 - 73*g**2 - 2 to f*g + z*g**2 + o and give z.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-528)\/968 - (-70)\/(-33)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -5, 135.1, -251, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 + -13. Suppose g*k = -k + 16. Solve 0 = 3*d + k - 19 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 108761 = -5*h - 2*w, 3*w + 65247 = 3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1254090100 rounded to the nearest one million?\nAnswer: -1254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*u**3 + 29*u**3 + 18*u**3 + 44*u**3 + 31*u**3.\nAnswer: 145*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/24)\/(1\/2). Let u be (-1)\/1 + (-15)\/(-13). Let d = -71\/198 + 3\/22. What is the nearest to -0.1 in u, d, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7560 divided by 28?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most -1434\/22937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are -9247 and -9198 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of x**4*y + 47447786*x**3*y - 2*x*y + 72462670*x + 1 wrt x.\nAnswer: 12*x**2*y + 284686716*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1130 (base 5) in base 9?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/(q**(5\/4)*q))*q)\/(q\/q**(-7)*q)*(q*q\/(q*q\/(q*q**(-2\/5)*q)*q))**(-33))\/((q**(2\/9))**(1\/59)*q**(1\/8)*q*q**3*q) assuming q is positive.\nAnswer: q**(-651617\/21240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1594  (b) 5  (c) -0.2  (d) -4  (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*m - 20 = 48. Solve m*g - 23 = -4*b + 7*b, -3*g = -6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*q - 135 = 185. What is the lowest common multiple of q and 18?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 424 divide 1003209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 3*k + 5, c + 15 = 3*k + 2. Let r be (2\/c)\/((-2)\/(-4)). Suppose -4*a + 4*v = -72, 4*a + 3*v - 72 = r*v. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 134*u - 135*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 266*a = -130*a - 134*a + 18, 6*f - 3*a = 48 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m + 4 + 16 = 0. Suppose 12 = y + m*y. Let i = -24 + 23.4. Which is the nearest to 1?  (a) i  (b) y  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 194 + -18?\nAnswer: 17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5*2\/(0 - -2). Suppose k - j*k + 8 = 0. Suppose m - 7 = -2*u - 0*u, -k*m = -4*u + 2. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 338 times 71070?\nAnswer: 24021660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 216160 to the nearest one thousand.\nAnswer: 216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4248929?\nAnswer: 17, 109, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1661, -1653, -1617, -1553, -1461?\nAnswer: -1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 10*i + 230. Let w be s(-21). Solve 7*d = w*d + 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, h: 4, b: 9, i: 4, x: 2}. What is prob of picking 2 x?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(6) - sqrt(54) - sqrt(6)))\/(sqrt(27)\/(sqrt(36)\/sqrt(4))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6964 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 505 or 502?\nAnswer: 502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1ab9a (base 14) in base 2?\nAnswer: -10000101000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4136?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xwuueffwuf. What is prob of sequence wxuu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 511, 1059, 1737, 2611, 3747, 5211, 7069?\n\"Answer: 11*f**3 - f**2 + 474*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -70446 to the nearest 1000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -5*i - 12. Let h(q) = -3*q - 6. Let r(c) = 7*h(c) - 4*u(c). Let p be r(4). Suppose -5*y + 8 + p = 0. What is the highest common factor of y and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-5)*o*o)**(1\/7)\/(o**2)**(-22\/9) assuming o is positive.\nAnswer: o**(281\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.8521 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 4*y**3 - y**2 - 19*y - 2. Determine c(4).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 4:24 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of 0 - 1\/3*t**3 + 0*t**2 + t. Let g(x) be the first derivative of 3*x**2\/2 + 6. Give g(o(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*w**2 - 5*w**2 + 32*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2097 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 22, -67, -230, -467?\n\"Answer: -37*d**2 + 22*d + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 4 = -2*h, -2*j - 5 = -2*h + 1. Find the third derivative of -57*a**2 + 33*a**6 + 84*a**2 - h*a**6 wrt a.\nAnswer: 3000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -3*a - 22, 3*d - 49 = 3*a - 13. What is the remainder when 22 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 6, -3, -6, -102, -4 in ascending order.\nAnswer: -102, -6, -5, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 608936 is divided by 398.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a minute in seconds?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*g**3 - 12*g**3 - 25*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001074799575 to six decimal places.\nAnswer: -0.001075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 + (-425)\/68)*16\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 8.54 from 1666.\nAnswer: 1657.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -913 - -960. Suppose -g = -2*j + 415, -5*j - 51*g = -k*g - 1070. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from vmwmwmmwmwwwmwwmwmmm.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/3 + 24227*l\/3 + 24224.\nAnswer: (l + 3)*(l + 24224)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3663, 7482, 11305, 15132, 18963, 22798?\nAnswer: 26637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28302 - 19728 = 2047*z + 11333 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from bipbbqpbvpbbbpbbqbb?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, 5, -5, -8, 3 in descending order.\nAnswer: 23, 5, 3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 85 - 12*a + 7*a.\nAnswer: -5*a + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 30*i**3 - 4713*i**2 + 482*i - 1729. What is m(157)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -552729, -2211060, -4974945, -8844384, -13819377?\n\"Answer: -552777*m**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 79*u + 7. Let h(g) = 513*g + 2 - 286*g - 201*g. Give -7*h(f) + 2*q(f).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(-3))\/((-11)\/(-33)). Let l = 9 + -20. Let s = 10.8 + l. Which is the closest to s?  (a) 0.04  (b) q  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8548346 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 735 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1.6  (b) 2\/9  (c) 0.6  (d) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o - 1. Let r be b(-8). Let l be 695\/r + (-2)\/(-9). Let y = -71 - l. Is 9 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vxxxxxvxvxvvvj. What is prob of sequence vvxj?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 3*a + 74 = 376, d + 5*a - 38 = 0. Suppose -3*s - 5*p = -d, p - 15 - 51 = -4*s. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, v: 2, c: 3, q: 10}. What is prob of picking 2 v?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 AM and 11:07 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206190 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 537202825?\nAnswer: 5, 21488113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-226)\/(-3))\/((-14)\/(-21)). What is the second derivative of -128*a + k*a**5 - 14*a + 38*a**5 wrt a?\nAnswer: 3020*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/1361, 78, 1 in increasing order.\nAnswer: 4\/1361, 1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(136)*2 + sqrt(136) + sqrt(136)*-3*-6)\/((sqrt(80)\/sqrt(80))\/(sqrt(2) - (sqrt(20)\/(sqrt(10)*2) + sqrt(2)))))**2.\nAnswer: 35972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -27 + 14. Let r = c + 34. What is the remainder when r is divided by (-6)\/(4\/((-48)\/9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 88 + -67. Suppose -d*i + 17*i + 8 = 0. Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:47 PM and 9:36 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 7:58 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4618 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/6, -0.3, 0.5, 23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 AM and 1:11 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 126, 127, 128?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 16 = -5*m - 0, 3*j = -3*m + 12. Let n(i) = 4*i**3 - 28*i + 1. What are the prime factors of n(j)?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 14396437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-6*-1*sqrt(204) - (sqrt(204) + (-2*sqrt(204) - sqrt(204))*-2)))\/((sqrt(108) - -3*sqrt(108))\/sqrt(9) - sqrt(288)\/sqrt(6)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 342 and 7038?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 19678 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3463098 to the power of 1\/2, to the nearest integer?\nAnswer: 1861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(25)\/sqrt(5)*4 + 0 + (sqrt(245) - sqrt(5)))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 481, 470, 443, 394, 317, 206?\n\"Answer: -q**3 - 2*q**2 + 2*q + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11178*l**2*r - 7*l**2 - 45*l - 56767708*r wrt l.\nAnswer: 22356*l*r - 14*l - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 15*v**3 - 6.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 5. Suppose z = 5*s + 20, 0 = 5*t + s + 3*s + 181. Let b be (-3)\/t*1*-2. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/3 or 480883687?\nAnswer: 480883687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -91161464770 from 0.2.\nAnswer: 91161464770.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*n + 11790 = 206*n + 367*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cggggygccccytgy. Give prob of sequence ccgg.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -252, -232, -206, -174, -136?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37.105 + 37. Let g = y + -1.655. What is g rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 55?  (a) 1\/6  (b) -1.1  (c) -54\/353  (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18920671.\nAnswer: 7, 11, 245723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000030955 to 7 dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 228738345 and 1023?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23147963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 4, y: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24\/365 - -17713\/24820. Let t = -2483\/612 + j. Let v = 465877\/20 - 23288. Find the common denominator of t and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3\/13 + 232*u**2\/13 - 6728*u\/13.\nAnswer: -2*u*(u - 58)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 67085.96 millilitres?\nAnswer: 67.08596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 898 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -3*o + 8 - 3*o + o + 6*o. Let y(v) = v + 1. Let n be y(5). Suppose 5*f = -11 + 31, a + 3*f = n. Calculate c(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -317*a + 419*a - 357*a to m + r*a and give r.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 + t + 1. Let v(z) = 4*z**2 - 2*z - 1. What is -2*r(u) - v(u)?\nAnswer: -6*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.5905 to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -35 + 173\/5. Let h be -1 - -1*(-5)\/(-2). Which is the smallest value?  (a) h  (b) l  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -8, 799, -43\/4?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9117\/63 - 5\/((-105)\/6). Suppose 389 + c = 3*v. 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 40797 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: Suppose -3*p = -2*u - 17, 2*p + 298 = 4*u + 320. Solve -p*m + 5*l = 22, -2*m = l - 6*l + 23 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1001101100111 (base 2) to base 11\nAnswer: -3806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g**5 - 393*g**4 + 10089*g**3 - 19011*g**2 + 9312*g = 0. Calculate g.\nAnswer: 0, 1, 32, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 PM and 4:06 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 358*i**4 + 319 with respect to i.\nAnswer: 1432*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 479, 1127, 1775, 2423?\n\"Answer: 648*i - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.059 and -4.\nAnswer: -0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24607906 divided by -12.\nAnswer: 12303953\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -4 times -446\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - -1122?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1828315 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - m + 4)*(-3 + 3 + m)*(22325 - 3*m - 22325) in the form y*m + s*m**2 + r*m**3 + c and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2011 + -10101021210101?\nAnswer: -10101021201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + 6 + -3 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21 and 38349.\nAnswer: 268443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -473.923.\nAnswer: -47.3923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -4, -6, -14, 333, 2 in decreasing order.\nAnswer: 333, 4, 2, -4, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15*(-98)\/1050)\/((-6)\/15)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10794*h**2 - 3229?\nAnswer: -21588*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 87.53 + -88. Let f = 0.07 + d. Let h(g) = -g - 9. Let m be h(-8). Which is the second biggest value?  (a) f  (b) -4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (30\/(-16))\/(6*80\/(-192))*(-2448)\/(-27)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 13155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2607 plus -0.33?\nAnswer: 2606.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 41*m + 5. Is f(3) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -89\/2 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -24*3*4\/(-18). Let c = n - 10. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*y - 163679 + 66514 = 233578. What are the prime factors of y?\nAnswer: 7, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -40 and -32\/4489?\nAnswer: 4489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence us when two letters picked without replacement from uussuyuusyyy?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -4. Suppose -2*x - 5*r + 46 = -f*r, 0 = 3*x - 2*r - 55. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -831 divided by -28?\nAnswer: 831\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 7 - 14 = 0. Calculate the highest common divisor of s and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 9*v**2 - 642*v + 232. Let o be b(71). Solve -13*t - 42 = -o*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 0)*(-4*f + 0*f + 2*f) + 0 + 0 - 2*f + (0*f + 3*f - 2*f)*(-89 + 8 + 8)*(0 + 2 + 0)*(1 - 6 + 2).\nAnswer: 434*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the second derivative of -j**3\/6 - 2*j**2 + j. Let k be -5 - (10 + -6) - (0 + -1). Let o be q(k). Solve 15 = -i + o*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 4*y = -371, 5*y + 41 = -2*s + 186. Let g = -32 + s. Suppose -g = -5*b + 32. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/(-14))\/(2\/(-3)*(-18)\/(-432)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(160) + sqrt(160)*2)*-6)\/(sqrt(320) + sqrt(320)*-1 + sqrt(320)).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-618)\/44187)\/((-2)\/(-22)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 7:22 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 200 * -1400.836.\nAnswer: -280167.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 - -2 - 2\/4*-6. Let i be k\/(-9) - (-329)\/(-63)*-1. Which is the fourth smallest value?  (a) i  (b) 2\/15  (c) -1\/4  (d) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 8*y**3 + 3*y**2 - y + 3. Is 8 a factor of a(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 75954949 and 3087?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -213819*a**2 + 107455*a**2 + 108758*a**2.\nAnswer: 2394*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 263374985?\nAnswer: 5, 52674997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = 5*c - 120. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10*((-132)\/(-360) - (-2)\/15). Suppose -5*f + g*v + 10 = 0, 5*v = -3*f - 4 - 6. Solve 2 = -2*z - f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 100 + -123. Let n = -4675\/4 - -1169. Which is the nearest to n?  (a) 3  (b) g  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -32933*x + 230311. Give h(7).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -72 + -385?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 55596*p**5 - 13*p**2 - 1539*p wrt p.\nAnswer: 3335760*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 784 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 34 = -r + 3*r, 18 = 2*r + j. Suppose n - 40 = -5*c, -2 = -2*c + n + r. Suppose -c*f - 145 = -502. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32.08554 years to millennia.\nAnswer: 0.03208554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -413135, -413168, -413223, -413300, -413399, -413520, -413663?\n\"Answer: -11*t**2 - 413124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 - 24. Suppose -w + h*w - 81 = 0. Suppose -4*s = -w - 15. What is the highest common divisor of 48 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 2:02 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34934?\nAnswer: 2, 17467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10968\/20 + (-3)\/(-5). Suppose -4*y = 5*m - p, 6*y + 129 = m + 2*y. What are the prime factors of m?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (4 - (-3 - -8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) 5\/16  (c) 8.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/81  (b) -2\/3  (c) 28.4  (d) 0  (e) 17  (f) -0.3  (g) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 61173802 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -11 and 2772212015?\nAnswer: 2772212026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 + 8*o**2 + 6*o + 7. Suppose 2*w - 11 - 57 = 0. Suppose 4*c + w = 6. Does 14 divide h(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 plus -1442?\nAnswer: -1441.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 - 10*k - 8. Give z(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-7)\/4*3)\/(276\/(-2450144)).\nAnswer: 2, 7, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*u + 3*r - 5, 4*u - 9 = 34*r - 33*r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 + 3 - 3. Suppose -18*j = -17*j + 1. Let h(i) = 4*i**3 + i - 1. Suppose 4*z + 10 = -3*g - 1, -5*z - 10 = 3*g. Calculate g*k(w) + j*h(w).\nAnswer: w**3 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/(x\/(((x**(-7)*x)\/x)\/x)))\/x)\/(x**23\/x))\/(x**(-2\/15)\/x**2) assuming x is positive.\nAnswer: x**(-433\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -118, 0, 1, -51, 5 in descending order.\nAnswer: 11, 5, 1, 0, -51, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/238 in 0.5, -5\/3, -0.14, 2, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**5\/19 - 34*k**4\/19 + 7840*k**3\/19 + 63800*k**2\/19 + 160192*k\/19 + 128384\/19 = 0. What is k?\nAnswer: -68, -4, -2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4053842 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: In base 11, what is -4 + -22856a?\nAnswer: -228573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 9*y + 5. Let f be z(5). Suppose u = 3*u - f. Solve 6*x + u = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13529749.\nAnswer: 47, 287867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 308*d = 127*d + 96*d + 2720 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3188507 and 84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10132 + 221332333?\nAnswer: 221322201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 2*a + 241 = 75, 3*y + 4*a = 84. Suppose -35 + 7 = -k + 2*m, 4*m + y = k. What is the highest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 - (-294)\/2 - 0. Suppose 7*g = 12538 - 12517. Suppose 2*p - y = -g*m + 25, 3*p = m + 236. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/(55\/(-5))*-7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 12573 = 7*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1954 and 26432735.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1044601 and 665.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*c + 4 - 4)*(-1 - 2*c + 1) + (-4175 - 5261 + 10370)*(c**2 + c**2 + c**2) to the form d*c + i + q*c**2 and give q.\nAnswer: 2806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*l + 66. Let t = -7 + l. Solve 3 = 4*h + 2*v + 21, -2*h - 2*v = t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + -46 - (-2412)\/(-201). Sort z, -7, 3 in ascending order.\nAnswer: z, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 4*q - 2, 0 = -q - 0*i + 3*i - 3. Solve 3*j = -3*g - 6, -3*j - 2*g = q*g + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 662024, 1324047, 1986070, 2648087, 3310092?\n\"Answer: -m**3 + 6*m**2 + 662012*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/934554 and 89\/159558?\nAnswer: 6541878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -53*u - 308. Let h(s) = 54*s + 308. Let p(q) = -2*h(q) - 3*n(q). Let i be p(-6). Solve -g - 8 = -4*a, -4*a = -i*a + 5*g - 26 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(1584) - ((0 + sqrt(1584))*2 + sqrt(1584))) + 4 + (sqrt(1584) - (sqrt(1584) + 0 + 4 + sqrt(1584)) - (sqrt(1584) + -4*-2*sqrt(1584))))**2.\nAnswer: -576*sqrt(11) + 228100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(2))*5 - (sqrt(18)\/(3*sqrt(9)) + sqrt(2) + sqrt(2) - sqrt(2))**2.\nAnswer: -122\/9 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g**2 - 9736*g - 205338 = 0. What is g?\nAnswer: -21, 4889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 151076 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56155, 114352, 174595, 236884, 301219, 367600?\nAnswer: 436027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59605888?\nAnswer: 2, 19, 24509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of 4487*x**3\/6 + 324*x**2 + 2*x + 1891. Factor q(f).\nAnswer: (7*f + 2)*(641*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*x + 41*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1056\/9)\/(-22))\/((-2)\/(-3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, s: 2, v: 2}. Give prob of picking 2 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 AM and 10:33 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand j**2 + j**2 + 1 - 4*j**2 + j**2 - 5*j**2 + 3*j**2 - 4 - j**2 + 4 + (-2 + j + 2)*(-1 - j + 1) - 6*j**2 + 3*j**2 + j**2.\nAnswer: -7*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 PM and 12:48 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 95934, 95946, 95958, 95970, 95982?\n\"Answer: 12*q + 95922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 35912 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1433564, 1433590, 1433628, 1433678, 1433740?\n\"Answer: 6*r**2 + 8*r + 1433550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -145 + 1013\/7. Which is smaller: b or 10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 65*b + 91. What is l(5)?\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g**2. Let h(o) = o**2 - 7*o - 2. Let t be h(7). Let s be z(t). What is the highest common factor of 88 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 5\/1219, -118, 5?\nAnswer: 5\/1219","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -60 (base 8) to base 11\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.5 + 12.1. Let j = x - 9.1. Let o = -2 - -2.5. Which is the nearest to 0.3?  (a) j  (b) 0  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.9 - 7.3. Let s be 8\/6*(-2)\/(-8). Which is the biggest value?  (a) s  (b) n  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 1\/4, -16, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12529488 divided by -24.\nAnswer: 522062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24757, -49175, -73593, -98011, -122429, -146847?\nAnswer: -171265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1216 - 41347\/34. Put c, -1\/3, -2\/7, -0.4 in increasing order.\nAnswer: -0.4, -1\/3, -2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7*(-72)\/56)\/(4114\/(-2058) - -2) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m + 2 - 1 + 1)*(-120 - 180 + 6).\nAnswer: 1176*m - 588","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100101 + 11001001110111001?\nAnswer: 11001001111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 4*v**2. Let i(c) = -25*c**2. Calculate f(i(z)).\nAnswer: 2500*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 7212, 7151, 7092, 7035, 6980, 6927?\n\"Answer: u**2 - 64*u + 7275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v - 1. Let q(l) = -l + 2. Let k(b) = 4*q(b) + 3*u(b). Let n be k(5). Let r(j) = -3*j - 13*j + 1 + 17*j + n. Let t(d) = d + 6. What is 6*r(f) - t(f)?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -5*p**3 + 20*p**2 - 3*p - 20. Let m be w(3). Solve -m*t + 37*t + 63 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -294.3 - -294.2997732. Round r to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/2*(-1)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2788424024 + 7*z**3 + 2788424024.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*a - o = -30*a + 7, -2*a - 31 = -5*o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 24 = -3*p - 0*f, 0 = -4*p - 5*f - 13. Sort -1, -3, 0, p in decreasing order.\nAnswer: p, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 2*a - 6 = -2*q, 4*a - 3 = -q. Let j(i) = 14*i - i - 3 - 10*i. Determine j(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 5 = -5*n, -5*w - 2 = 2*n - 6*n. Let f(r) = 6*r**2 + 7*r - 4. Suppose -2*u = -u - 24. Calculate the remainder when f(n) is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 + 303*z**3 + 24 - 290*z**3 + 3.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 94, 95, 96, 97, 98, 99?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 divided by 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5\/(-39)*(-240)\/6000. Is 0.4 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*w + 95 - 23. Let b be 16\/12 - (-8)\/w. Find the first derivative of 2 + 7 + 4 + 16*v**b - 11 wrt v.\nAnswer: 32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 14 = -u, 9 = 4*z + 2*u + 1. Let a(b) = b**3 + b**2 - b - 1. What is the lowest common multiple of 24 and a(z)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -24729 at most as big as -17800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -40 - -1413?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b. Let d(g) = g**2 - 3. Suppose 0*k + 2*k = -4. Let j(m) = -2*m**2 + 2. Let y(p) = k*d(p) - 3*j(p). Determine i(y(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 60 - (3 + -7 + 4). Suppose -2*g + 7*g - f = 0. Suppose 0 = -9*l + g*l + 255. Round l to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (59085\/(-20 - -35))\/((-6)\/(-44000)). What is b rounded to the nearest 100000?\nAnswer: 28900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -972 - -6?\nAnswer: -968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1*-143250\nAnswer: -143250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/8*-2*8. Let z be (a + 7)*3*1. Find h, given that 0 + 3*h**4 - 6 - 13*h**3 - 11*h**3 - 15*h + 27*h**3 - z*h**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 132149 + -77212. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10844927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 44\/146415 and -23\/129.\nAnswer: 146415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 69696\/7 + 100\/7*g**2 + 5280\/7*g.\nAnswer: 4*(5*g + 132)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 53 + -31. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 3 + 3*s**4 + 23*s**3 + 3 + 3*s**2 - 49*s**3 to the form p*s**2 + i*s**4 + o + d*s**3 + m*s and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*z**3 - 2*z**3 + z**3)*((2*z - 2*z + 2*z)*(3 + 1 - 3) + 4*z - 3*z + z + z + 3*z - 3*z).\nAnswer: -35*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -156 divided by -12\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((sqrt(33) - sqrt(66)\/sqrt(2) - sqrt(33))\/sqrt(3) - sqrt(11)) + sqrt(11))**2.\nAnswer: -4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -73 + 186 + 58 + -111\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -6 - (7 + -2 + -3). Let g = -0.03 - -4.03. Let s = -4928 + 4928.5. Put g, s, z in increasing order.\nAnswer: z, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70 = 5*a + 17*q, -a + q - 261 = -253 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 81 - 106. Let o = x - -25.009. Let u = -0.669 + o. Round u to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -94.8 and -0.40932?\nAnswer: 38.803536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 35507 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(4*sqrt(21)\/sqrt(3) + sqrt(7)) - (-5*(sqrt(567) + -1 - sqrt(567)))**2.\nAnswer: -10*sqrt(7) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4923*v**2 - 4919*v**2 + 9844*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 - -58. Let a = -22 + s. Suppose 3 = -4*w + a. Solve 4*l = l + 6, w*f = l - 22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 3:32 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) -13  (c) -0.09  (d) 0.97  (e) 2\/5  (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -3*v**3 - 5*v**2 - 3*v. Suppose -5 = -2*f + 3*d - 16, -2*f = -d + 17. Let k(p) = p**3 + 2*p**2 + p. Give f*k(s) - 4*g(s).\nAnswer: 2*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 + 426. Let d = -59 + t. Is 31 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-130)\/195)\/((-4)\/9678).\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -275.3 - -271.089. Round w to 1 decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 173 + 3?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, -3, 2, 5 in descending order.\nAnswer: 5, 3, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9360 + -65510\/7. Suppose -2\/7*q**2 - m*q - 12\/7 = 0. Calculate q.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 3*j**3 - 3 + 2.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 502 divide 50141768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -q**2 + 1018 + 123 + 1221 as z*q + a*q**2 + o and give o.\nAnswer: 2362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 2*q**2 + 579699852*q + 42006489801102738 = 0.\nAnswer: -144924963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 4. Let u(q) = 2*q**p + 2*q**2 - 5*q**2. Let s(j) = -j. Determine s(u(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 67, 122, 163, 190, 203?\n\"Answer: -7*s**2 + 76*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 + y - 1. Let p = 13 - 11. Let a(t) = t - 1. Let z(j) = 5*j**2 + 1. Let w(c) = -2*a(c) + z(c). Determine p*q(g) + w(g).\nAnswer: 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**4 - 780*p**2 - 20425730 + 20425730 - 776*p**3.\nAnswer: 4*p**2*(p - 195)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -78*t. Let b be q(-1). Let p = b - 52. Calculate the remainder when 74 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.95 + 0.05. Let z = 1.5 + -15.5. Let d = 12 + z. Which is greater: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 42623133\/2 or 21311568?\nAnswer: 42623133\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 3*l**2 - 17720*l + 563972. Give s(32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*t - 19 + 12 + 3.\nAnswer: 24*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 0*h**2 + h**2 + 0*h**2 + 0*h**2. Let m(t) = -20*t**2 - 3. Let a(o) = 21*o**2 + 4. Let j(n) = -3*a(n) - 4*m(n). Calculate j(r(d)).\nAnswer: 17*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 + (1 + -1)\/(-1). Suppose -21 = 4*y - x, m*y - x = -0*x - 15. Let p be (-9)\/y + (-66)\/(-4). Solve 3*k = -2*z + 20, -z = 2*k - p + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2052 - 30222 = 6*d. Let j be (d\/(-5) + 2)*11. Suppose 0 = 4*i + 3291 - j. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2, -4, 22, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(114)*2)\/(sqrt(216)*1) - 2*(sqrt(2736) + 2)*3.\nAnswer: -74*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 9*c**3 - 2*c**3 - 40*c**3 + 3*c**4 = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1191602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -15431612 at most -15431605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 8)*(-2*n - 238 + 200 + 126).\nAnswer: 10*n - 440","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -5, 4, -16, 2 in descending order.\nAnswer: 4, 2, -5, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 538709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18 - -12. Let w(s) = 2*s - 12. Let y(m) = -6*m + 35. Let z(p) = c*y(p) - 17*w(p). Calculate z(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(100)\/sqrt(40))\/(sqrt(245)*-2).\nAnswer: -sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 44, 167, 350, 575, 824, 1079?\n\"Answer: -3*v**3 + 48*v**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 22659*p. Let v(f) = 514*f. Give y(v(z)).\nAnswer: 11646726*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/6*12\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3\/2 - 267*s**2\/2 + 5805*s\/2 + 6075\/2.\nAnswer: 3*(s - 45)**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*u**3 + 0*u + 0 + 1\/2*u**5 - 3\/2*u**4 + 0*u**2.\nAnswer: u**4*(u - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10873759, -10873739, -10873719, -10873699?\nAnswer: -10873679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 1:22 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 114.25 times 0.177?\nAnswer: 20.22225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 2*i + 25, -x - 2 = -5*i + 4*i. Find the third derivative of 5*q**4 - 10*q**4 - x*q**2 + 6*q**2 wrt q.\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/4*150\/(-1800)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 47 - 42. Let f = -103\/136 - -1\/136. Put -1\/3, w, f in decreasing order.\nAnswer: w, -1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21117292769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 5*i - 37, 4*i + 69*q = 64*q + 40. Put 0.6, i, 134, 1\/5 in decreasing order.\nAnswer: 134, i, 0.6, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2712371 tonnes to grams.\nAnswer: 271237.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 times -3.5405?\nAnswer: -0.21243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41197 - 41197 + 0*o**3 + 5*o**3 + 5*o - 5*o.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + ((6 - 13) + 5 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1398771, 2797543, 4196315?\n\"Answer: 1398772*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 20913777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-15)\/10 - (-7)\/10. Let w = 284\/2355 - -2\/157. What is the nearest to m in -3, w, 4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 158 + -99. Calculate the remainder when u is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -10, 3, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 228 + -227.9598. What is u rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1221 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 197.9 + 9.1. Let s = j - 299. Let q = -7 + 7.1. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*p**2 - 2*p**2 - 3*p**2 + 0*p**2 - 4*p**2 + 2*p**2 + (p + 5*p - 4*p)*(-2*p + 4 - 4) - p**2 + 0 + 0.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86*n**3 + 10*n**3 + 325 + 326 - 648.\nAnswer: -76*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from toobkkooo. What is prob of sequence okk?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*c**3 + 415*c - 415*c.\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7750 + -7755. Sort -745, -1, k, -4 in increasing order.\nAnswer: -745, k, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000051 to six decimal places.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**3 + 24632*d**2 - 442208*d + 785920.\nAnswer: -4*(d - 6140)*(d - 16)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2098 + 1134. Let b = -964.2964 - q. Round b to 2 decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 500?  (a) 9  (b) 0.5  (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -548153*l*o - 1207441*l wrt o?\nAnswer: -548153*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jji when three letters picked without replacement from {j: 2, i: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -5 - 5*b + b - 2*b**2 + 3*b**2 + 11. Let u be i(3). Suppose 3*t - 421 + 55 = -l, u*t - 354 = -5*l. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 609 is divided by 101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v - 10*v + 10*v - 3*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 (base 15) in base 2?\nAnswer: 1111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8 + 1\/5*t**3 + 42\/5*t**2 + 81\/5*t.\nAnswer: (t + 1)**2*(t + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3\/6 + 3392*p**2\/3 - 2384334*p + 1604770056.\nAnswer: -(p - 3436)*(p - 1674)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 AM and 11:38 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2 - 6*m + 3. Let n be a(-6). Let x(s) = -s**2 - 5*s - 3. Let g be x(-4). Calculate the greatest common divisor of g and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s**2 + 7*s - 15. Let w be j(4). Let g = 767\/17 - w. Determine t, given that -2\/17*t**3 + 4\/17*t**2 + g*t - 4\/17 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2103 (base 9) to base 12\nAnswer: -a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c + 20, -2*k = -5*c + 3*c - 16. What is the highest common divisor of k and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 4*g**2 + 11. Let n(z) = 3*z**2 + 7. Let v(s) = 8*n(s) - 5*r(s). What is the first derivative of v(t) wrt t?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 926856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*g**5 - 48415*g**4 + 5793815*g**3 - 163785390*g**2 - 440395200*g - 178524000 = 0.\nAnswer: -4959, -2, -1\/2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 182?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 24605287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 6\/8*(-504)\/567\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1, 2\/7, 132.7, -5, 5\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of -1\/60*i**5 + 0 + 0*i + 0*i**3 + 1\/120*i**6 - i**2 + 1\/210*i**7 - 1\/24*i**4. Find b, given that x(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1808489.5 + -483.3.\nAnswer: 1808006.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 3:43 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.48 + 3.52. Let m = -15 + 9. Let d be 11\/3 - 2\/m. Which is the closest to 2?  (a) 1  (b) d  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 17270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 27 + 81. Let t = -44 + m. Let v = t + 39. What is the greatest common factor of v and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/6*7*(-12)\/(-14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 + 904 + -1 - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, -2\/7, 3, 20 in decreasing order.\nAnswer: 20, 3, 0, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -5816.84 rounded to the nearest ten?\nAnswer: -5820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 9*v - 1. Let t(k) = -2*k - 4. Let y be t(1). Let m be h(y). Are -54 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 - 6*v + 2. Let s be n(-6). Let g = 63 + s. Suppose -9*x + 4*x + g = 0. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -58.5 - -5.5. Let s = l + 52.824. What is s rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -3*a + 3. Let i = 12 - 10. Determine z(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 3\/2*m - 3\/8*m**2 + 9\/2 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = 240 + 288. Let g = f - -92. Let d be 18 - -6*1\/(-2). Solve 0 = k + g*k - d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {j: 1, y: 2, l: 2, g: 1, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23\/95 - -3\/19. Let j be (((-2)\/7)\/2)\/1. Let f = -14 - -12. What is the closest to 0.3 in k, f, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -255*q**3 + 193*q**2 - 2*q + 2. Let t(p) = -1018*p**3 + 773*p**2 - 9*p + 8. Let i(v) = 9*g(v) - 2*t(v). What is the third derivative of i(y) wrt y?\nAnswer: -1554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 15\/6*-2*(-1)\/1. Let u be ((-25)\/(-5))\/q + -1. Factor 1\/3*j**4 + 0*j - 1\/3*j**2 - 1\/3*j**5 + u + 1\/3*j**3.\nAnswer: -j**2*(j - 1)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.798 take away -350157201?\nAnswer: 350157201.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 272 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/k**(5\/2)))\/k)**11\/(k*((k*k**(-6))\/k*k)\/k)**11 assuming k is positive.\nAnswer: k**(143\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7019783, -3, -2 in descending order.\nAnswer: -2, -3, -7019783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.09, 5\/2, -1049, 100, -2 in increasing order.\nAnswer: -1049, -2, 0.09, 5\/2, 3, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -250 - -15725377138?\nAnswer: 15725376888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 86 - 52. Let c = 88 - q. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2871341?\nAnswer: 11, 261031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -2\/13, -4, 1\/6, -6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/15255 and 83\/3390?\nAnswer: 30510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4593*n - 4575*n - 378 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 15*u**2 - 252*u - 1504. Give w(21).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-1*1)\/(22725\/(-40905))\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 470 - 470 + 20*y**2 + (-y - y + 3*y)*(0 - y + 0) + (0 - 1 - 1)*(7*y**2 - 3*y**2 - 3*y**2) + 5*y**2 - 3*y**2 - y**2.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**3 - 4*u**2 - 2*u. Let n(z) = -2*z**2 - 3*z - 4. Let d = -21 + 19. Let a be n(d). Let i = 4 + a. Calculate h(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 9\/20, -7\/4, 0?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1696326 is divided by 852.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 807 = -0*k - 3*t, 3*k + t = 2451. Suppose 30*q - k = 26*q. List the prime factors of q.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 2 s when four letters picked without replacement from {s: 2, o: 2, x: 4, y: 8}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 + u - 1. Let b(r) = 9*r**3 + 5*r**2 + 2*r + 3. Give b(l) + 3*d(l).\nAnswer: 9*l**3 + 2*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -15, -671 = -4*k - 6*o + 5*o. What is the remainder when k is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*u = -8*u + u, -2*x + 42 = -4*x - 4*u for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c + 19. Let p be f(11). Suppose -p + 3 = -y. Solve -27 = 5*o - 4*m, -4*m + y + 10 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48695545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3162 - -2?\nAnswer: -3160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 3 = -3*z. Let t = z + 47. What is the highest common divisor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 565 = -2*j + 3*j, 0 = 4*j + 5*n + 2293. Suppose -7*k + 3*k - 1092 = 0. Let l = j + k. Round l to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -188777 - -268777. Round w to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 - 11. Suppose -36*o - 6 = 2*o - 82. Let i be o\/a + (24\/9 - -3). Solve -38 + 13 = -i*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 393190291*a**3*m + a**2*m + 11*a**2 - 913900*a*m + 2*a - m wrt a.\nAnswer: 2359141746*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 + 31 = -9*y. Let z = -4 + y. Solve 5*w - z = 17, -2*w - 12 = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 5*d**2 + 2 - 2 + 5 + 4.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -5*n + 55. Calculate m(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -157\/7518 and -29\/12530?\nAnswer: 37590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 161 + -160.91. Let p = 0.51 + x. Which is the nearest to -0.1?  (a) p  (b) -2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 415 + -1243\/3. Let h = -5 + 11. Let v = -12 + h. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 297 + 1593 = -3*l. What is l rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*a - 30*a - 80 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -362773950 divided by -345499.\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 + 5*d - 1. Let z be g(-5). Let k be z\/(-2)*(-1 + -23). Which is bigger: k or -13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + (-5 - 2) - (-104)\/(-18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -6*l + 165. Solve -5*g + 41 = l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -107 divided by 13419.\nAnswer: -107\/13419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.002  (b) -6\/29  (c) -2  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(32)\/sqrt(4) - sqrt(8)) - (sqrt(8) - sqrt(144)\/sqrt(2)))\/(6*(sqrt(4) + sqrt(4)*-3*-3)))**2*-4.\nAnswer: -2\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of -6*q**2 + 35. Let g(x) = -x**2 + 3*x - 3. Let l(r) = -r**2 + r - 1. Let w(d) = g(d) - 3*l(d). Give w(o(a)).\nAnswer: 288*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 31587.83km in meters?\nAnswer: 31587830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 155 = -14*d - 223, 0*p + d = p + 3*d + 55 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0*-9*(-2)\/18. What is the nearest to -0.35 in 3, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1072, -2180, -3184, -4084, -4880?\n\"Answer: 52*v**2 - 1264*v + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 - -19. Let q(p) = 6*p - 16. Let h be q(3). Solve 0 = 2*b - v, -5*k + 0*k = -4*b - h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 82685039 and 1.33524.\nAnswer: 82685040.33524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, x: 4, f: 3, z: 4, o: 3, a: 2}. What is prob of sequence yzx?\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -57\/20 and -88\/315?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 + 71*q**2 - 3716*q - 247. Determine x(-106).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.5  (b) -248\/5  (c) 1\/7  (d) 1  (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of 37*v**4\/8 - v**3\/3 + 2*v**2. Let k be d(-8). Round k to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 4  (c) 2  (d) 3  (e) -0.2  (f) -1\/3193\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12*(2\/(-4) - -1). Find the common denominator of (31\/(-32))\/(3\/a) and (-2)\/(-9) - 2325\/(-594).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 6:13 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7 and 5257669.\nAnswer: 36803683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 33.87906 + -33.63. Round u to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -484.15 and -7936?\nAnswer: 7451.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 2:12 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 315*l**3 - 2850*l**2 + 6020*l + 1960.\nAnswer: 5*(3*l - 14)**2*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2 + s - s**3 + (-2*s**2 + 5*s**2 - s**2)*(-3*s - 2*s + 4*s) - 9*s**3 + 4*s**3 + 4*s**3 to i*s**3 + z + w*s**2 + u*s and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/70 and -81\/12230.\nAnswer: 85610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.202 - 1.098. What is the fourth biggest value in 2, 3, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -25  (b) -3  (c) -0.4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -42*z - 51*z - 72*z + 132*z. Let c(q) = -3*q. Let u(i) = -3*i. Let t(n) = -3*c(n) + 2*u(n). Give h(t(v)).\nAnswer: -99*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**3\/k*k)**(-5\/2)\/((k*k*k**2)\/(k\/(k*k**(-12)*k))) assuming k is positive.\nAnswer: 1\/sqrt(k)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 22507*y + 77*y**2 - 22507*y + 0.\nAnswer: 77*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 893828 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 v(o) = o**2 + 10*o - 1. Let y be v(-5). Let j = y - -28. Suppose -j*d + 169 = 5*l - 22, 0 = -3*l - 4*d + 109. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 2*v = 4*l, -4*l + 4 = -4*v. Let c be ((-660)\/l)\/((-3)\/(-12)). What is c rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 289*x + 6 - 7 as u*x + j and give u.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 + (-55)\/(-11) + (2 - -420542) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 11*h - 23*h + 13*h. Let x(c) = -13*c. Determine s(x(l)).\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (8 + (-21 - (-8 - 2)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 69833*x - 11944?\nAnswer: 69833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -6490 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4465749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -775, -847, -977, -1171, -1435, -1775?\n\"Answer: -h**3 - 23*h**2 + 4*h - 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from ydkdesaks.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 6*d + 2. Determine c(-12).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 4)*(15 + 13 - d - 30) - d + 4*d - 2*d.\nAnswer: 3*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1719 is divided by 96?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -727221, -727222, -727223, -727224?\n\"Answer: -l - 727220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*k**3\/4 - 7*k**2\/2 - 13*k\/4 - 1.\nAnswer: -(k + 1)**2*(5*k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**2 - 152795*f + 12255600.\nAnswer: -5*(f - 80)*(f + 30639)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 39 = -3*w. Let d be (-5)\/(-15) - w\/6. Solve 2*n + 8 = -2*n, d*n + 8 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -9*s**2 - 2*s. Let a be p(2). Let y be a\/(-18) - 6\/27. What is the greatest common divisor of 8 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/2 - (-16)\/6. Let m = -714 + 717. Let x = -1.2 + 0.2. Which is the second smallest value?  (a) m  (b) x  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 4*b**3 + 3*b**2 + b + 2. Let w = -15 - -10. Let u(f) = 7*f**3 + f + 4. Let m(k) = -k**2. Let i(s) = 5*m(s) - u(s). Give w*q(d) - 3*i(d).\nAnswer: d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = k. Let j = 110 + -104. Solve k = -3*g + j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11736811 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (13\/(52\/(-8)))\/(-2). Solve t + 2 = r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - -5. Let v be 14\/6 - 4\/o. Let -y**3 + v*y**3 + 4 + 3*y - 3 + 3*y**2 = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 1961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7\/4?  (a) 0.0135  (b) 304  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 3:10 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -24 + (265\/5 - 22). Sort -5, l, 2, 0, -11 in increasing order.\nAnswer: -11, -5, 0, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 819 a factor of 15973844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 113111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*o + 33 - 47 - 38*o + 82*o to the form p*o + k and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 306 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 431290853 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {z: 1, s: 1, q: 1, a: 6}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -13 - (-2 + -2 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4.038 - 0.038. Which is the third smallest value?  (a) h  (b) -0.5  (c) -4  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4070327944 to the nearest integer?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 12*r**2 + 6*r + 2. Let f(c) = 2*c**2 + 10*c + 6. Let a be f(-4). Calculate the remainder when g(a) is divided by -39*(2 - 7\/3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4.1 and 1445.\nAnswer: 1449.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*i - 2835 = -27*i. Which is smaller: i or -316?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (-3 - -3 - 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 + 4. Suppose t = 3*x + 2*x - 80. Find the common denominator of 87\/20 and ((-2)\/(-18))\/(x\/(-1128)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 83.8 + -45.2. Let x = s + -38.7. Let h = -0.1 + 0.3. Put 0, x, -2\/9, h in decreasing order.\nAnswer: h, 0, x, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 21*z**2. Let j(c) = -24*c**2. What is j(f(s))?\nAnswer: -10584*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(110) - sqrt(110))\/sqrt(10)*2.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -0*l - 6. Find the third derivative of -50*k**3 + 7*k**l + 66*k**3 + 10*k**2 + 4*k**2 - 1 wrt k.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.199 rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 82740 divided by 5910.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 192 + -114. Suppose 81*m = w*m + 3165. Is m 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 pfhffcphffcffcp. Give prob of sequence pf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f = 7*f + 3. Let j be (0 - 0\/(-1))*f. Solve -m + 2 = -j*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 387599.\nAnswer: 347, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-32*w - 5 - 2*w + 6)*(3*w**2 - 2*w**2 - 2*w**2) to the form h*w + l + z*w**3 + u*w**2 and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 80\/2457 and 94\/2457?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1815961 or 1815958?\nAnswer: 1815958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = j - 18. Let h be (-4)\/(-14) + (-48)\/j. Let p = 0.03 + -0.33. What is the third biggest value in 2\/5, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**6*h)\/(h**(-1\/2)*h)*h**(-2)\/(h*h\/h**6)*(h**(4\/7)\/h)\/(h\/(h\/(h*h\/(h*(h*h**(1\/8))\/h)*h)))*h\/h**(-1)*h*h**(2\/11) assuming h is positive.\nAnswer: h**(6393\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hbf when three letters picked without replacement from {n: 3, b: 3, h: 6, f: 7}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 2*n - 29. Let w be h(12). Sort 2, -2, 3, w in increasing order.\nAnswer: w, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v + 0*v - 3*v)*(-3*v - 2*v + 19*v) + (5 - 4 - 2)*(4*v - 4*v - 2*v**2).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*((16\/(-28))\/((-90)\/(-2037)))\/((-12)\/90)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 1 = 1. Let a = -6 - r. Let d = a - -20. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1116?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v + 4. Let r be x(5). Let c be -6 + 6 - (3 + r). Let n be c\/(-1) - (-3)\/(-1). Which is smaller: 1\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -3*c**2\/5 + 792*c\/5 - 52272\/5 = 0.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - r - 1)*((-2 + 0 + 3)*(r**3 - 3*r + 3*r) - 71*r**3 + 105*r**3 - 167*r**3).\nAnswer: 132*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 8, -3*c + 2*z = c - 52. Suppose -c*r = -15*r + 1508. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-270)\/2520)\/((-13)\/((-910)\/30))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 6*c**2 - 7*c - 6. What is q(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1919?\nAnswer: 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 z when three letters picked without replacement from zzzzzzazzajj?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1.2, -5, -4\/3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n - 7*n**4 - 2*n)*(2 - 2 + 2*n) + n**5 + 3*n**5 - 3*n**5 + (4*n**3 + 2*n**3 - 5*n**3)*(2*n**2 + 3*n - 3*n) - n**5 + 2*n**5 - 2*n**5.\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of 25*n**5 + 2*n**4 - 825*n - 1413. Find the first derivative of a(v) wrt v.\nAnswer: 500*v**3 + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(648)\/sqrt(9) - (sqrt(242) + sqrt(242) + 1*sqrt(242) + sqrt(242))**2 - (((sqrt(50) + -2)**2 - sqrt(2)) + (sqrt(8)\/sqrt(4))**2*4 + sqrt(2)))*6.\nAnswer: -23604 + 156*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -44127, -176505, -397127, -705987, -1103079, -1588397, -2161935, -2823687?\n\"Answer: d**3 - 44128*d**2 - d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 14*x**3 - 32*x**2 + 8*x - 8. Let h(r) = -5*r**3 + 11*r**2 - 3*r + 3. Let m(d) = -17*h(d) - 6*p(d). What is m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -l - 3*l - 3*y, 0 = -3*l + 4*y + 20. Suppose -k = -m + 4 - 29, 5*k = 2*m + 38. What is the units digit of -3 - m\/1 - l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.712027*5.8\nAnswer: 4.1297566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 456792 - 456794 - 6*h**2 + 2*h**3 - 16*h + 52*h in the form u*h + f*h**2 + r + k*h**3 and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3973 and 7730037.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8)\/(-6)*(-375)\/(-10). Let z = 50 - w. Factor 3\/5*t**5 - 12\/5*t**4 + 12\/5*t**3 + z + 0*t**2 + 0*t.\nAnswer: 3*t**3*(t - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 102*d - 27. Suppose 4*t - 12*t + 40 = 0. List the prime factors of u(t).\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 3 - (-40 - -13)) + -38 - -110.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-28)\/21)\/((-2)\/3). Suppose -5*k - 4*i = -30, 0 = 4*k - 3*i + 8 - 1. Find the third derivative of 2*n**k + 0*n**2 - 3*n**2 - y*n**4 wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -1160*i - 10675. What is p(-9)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert a36480 (base 13) to base 15.\nAnswer: 5049ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 + -5. Suppose -4*j = -4*l + 32, t*l - j - 10 = 4*j. Calculate the remainder when 18 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - 7*a - a)*(0*a**4 + 2*a**4 + 0*a**4) + (a**2 - 3 + 3)*(11*a**3 + 9*a**3 - 14*a**3).\nAnswer: -8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 11 + -2 - (4 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the first derivative of -y**3\/3 + 5*y**2 - 12*y - 3. Let d be f(8). Solve 5*r + 5*s = 0, d*s + 10 = 2*r + s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the first derivative of -f**4 - 64*f**3\/9 + 22*f**2 - 56*f\/3 + 74. Suppose b(n) = 0. Calculate n.\nAnswer: -7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.5 - 0.039.\nAnswer: 2.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 20 = -24. Suppose -3*v + 12 = 3*z - 9, -5*z - g = -4*v. Is z greater than 27\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32518604.\nAnswer: 2, 127, 64013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 2:57 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - 0. Let a(m) = -m**2 - 13*m + 6. Let f be a(-12). Suppose r - f + 4 = q. What is the lowest common multiple of r and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*x**2 + 4*x + 2*x**2 + x**2 + x**2 - 2*x**2 - x**2 + (x - 2*x + 2*x)*(0*x - 3*x + x).\nAnswer: -7*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 24 = 3*d, -m + 915 - 3972 = 509*d - 0*m for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4355?  (a) -6  (b) 2  (c) -1\/10  (d) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*2*sqrt(2)*5 + 3 + ((4*(-1 + sqrt(200)) + sqrt(200) - sqrt(200))**2 - (-2*sqrt(200)*4 - sqrt(200))**2))*-2.\nAnswer: 540*sqrt(2) + 25962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -268.56 - -273. Let k = p - 4.4. Let v = -4 + 0. What is the biggest value in v, 2\/3, k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/1*1*12\/(-54). Suppose -d*h + 8\/9 + 2\/9*h**4 - 4\/3*h**3 + 26\/9*h**2 = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7*(-10 - -4)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2552 is divided by 284?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (22 - -1) + (5 + -19 - (41 + -2 + -47))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -713017371.\nAnswer: -713017374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*f - 23*f - 6, 4*x = -f - 398. Let w be 35008*((-44)\/x + 56234\/36). Round w to the nearest 1000000.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wuuywwcubwlbuwubb. What is prob of sequence wc?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of -2\/3*r**3 - 3\/2*r**2 + 1\/30*r**6 + 1\/6*r**4 + 5*r + 1\/5*r**5 + 0. Determine a so that w(a) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8451, 8453, 8457, 8463, 8471, 8481, 8493?\nAnswer: 8507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 + 6*g + 8. Let x be u(7). Let o be (-14)\/(-6) - (-4)\/6. Suppose 0 = -o*n - 2*n. Is n equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of -5*v**4\/12 + 131*v. Let b(z) = 122*z. Determine t(b(p)).\nAnswer: -74420*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 394496208 divided by -36?\nAnswer: -10958228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 90915017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 12, 261, 952, 2307, 4548, 7897?\n\"Answer: 37*j**3 - j**2 - 7*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 841712 and 54304?\nAnswer: 1683424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 389552000?\nAnswer: 2, 5, 97, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -1 + 168*c + 168*c - 337*c. Let r(g) = 6*g + 0 + g + 4. Let q = 0 + 1. Determine q*r(f) + 4*j(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 48\/21 + -2 + (-9)\/105\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from {j: 10, d: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*j - 78 - 38 = 0. Which is the third biggest value?  (a) j  (b) -5  (c) -1  (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -70579 minus 3?\nAnswer: -70582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2050 and 42650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 39683*h**2 + 79370*h - 9. What is b(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 181324883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, u: 1, j: 1, e: 5, b: 1, g: 3}. Give prob of picking 2 g, 1 b, and 1 e.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -77, -140, -193, -230, -245, -232, -185, -98?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -54*u - 251 - 197 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 154116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 + (4575\/(-285) - -7))*2*(-6)\/(-3)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 61550361*x**3 - 54998036*x**2?\nAnswer: 369302166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-18)*-4*12\/16?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -16\/1465 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from rgmgm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 499795217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1446 a factor of 86130062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2765835*d**3 + 4*d**2 - 68928315*d wrt d?\nAnswer: -16595010*d + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 18 = -j, 4*c = -j - 0*c + 21. Solve j*f = 208 - 217 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48038.\nAnswer: 2, 24019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 17\/4625?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -137 - -142. Let h = 18219\/55 - 2810\/11. Let x = h - 75. What is the third biggest value in p, 2, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 6772\/8 - (25\/(-10) + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, t: 1, w: 1, n: 3}. Give prob of picking 1 w and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1113165 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 + 18 + (2 + 1 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 934.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*d**2*q + 2*d**2 - 4*d*q - 70*q + 6846 wrt q?\nAnswer: 3*d**2 - 4*d - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 177 - 165. Let l(x) = 44*x**3 + x**2. What is the remainder when l(1) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 117151 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -6878087\nAnswer: -2\/6878087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12 in 7, 2\/11, 1\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 - 7. Let o = b - -2. Put 0.3, o, -1\/10 in decreasing order.\nAnswer: o, 0.3, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(6*-1)*-6)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -5*(56\/(-175))\/(2\/5). Let z = 1 + 0. What is the second biggest value in 3, z, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - (-3 + -2)) + 63 + -95.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 53535 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: Is 50584271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 968*j**2 - j**3 - j**3 + j**3 + 2 - 23*j**3 - 970*j**2. Determine z(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2087 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - 3 - 54 - (0 - (-1 - -3))) + 1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19260.\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1502481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lqdmetlqd. Give prob of picking 1 d, 2 l, and 1 e.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -160*y + 1. Let j(a) = 167*a - 1. Give -4*j(s) - 3*u(s).\nAnswer: -188*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 14322403 - 31?\nAnswer: 14322342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -38 + (-3 + 8 + 14 - 17).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.44237417 - -2080.43248417. Let y = z - 2078. What is y rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-875)\/14)\/(8\/(-16)). Calculate the highest common divisor of 550 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -303\nAnswer: -2\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -3*o - 8. Let h be d(-8). Let s = -22 + h. Let x(z) be the first derivative of z**2\/2 + 4*z - 80. What is x(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*j + 100 = -7*j. Let v(d) = d**2 - 4*d + 9. Let t be v(7). Suppose j = -i - t. Round i to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 - 3. Let l = q - 12. Let u be 8\/60 + l\/15. Solve u = -2*i - 5 - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/7)\/((-76)\/266).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 82599431 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (1 + -2)*(-114)\/84 and -55\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 6*t - 12 = 0. Let l be (8 + -12)*(3\/t + 1). Let a(d) = d**3 + 4*d**2 - 2*d. Give a(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, c: 1, s: 2, z: 3, q: 1, h: 1}. Give prob of sequence sc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8 - 14*q**3 - 50 - 208*q + q**4 + 170 - 3*q**3 + 96*q**2.\nAnswer: (q - 8)*(q - 4)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*-0.3\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-2)\/35)\/(1\/(-25)) and 166*8\/(-6 + -90).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -34*n**2\/11 - 42404*n\/11 - 7482\/11.\nAnswer: -2*(n + 1247)*(17*n + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 533144832 by -266572416.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**4 + 2*s**4 + 0*s**4 - 3*s**4 + 2*s**4 + 3*s**4 + (-5*s + 6*s + 0*s)*(-4*s**3 + 4*s**3 + s**3) - 8*s**4 + 6*s**4 + 9*s**4.\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -217*p - 2218059 = 630717. Which is bigger: -13127 or p?\nAnswer: -13127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 262531644 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 - 12*n**2 - 13*n - 15. Let j be w(-11). Suppose j = -3*x + 1. Which is bigger: x or -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 88781618 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 2\/7, 19\/2, -17?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 195875 and 10597621.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7350 and 4?\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of 0*r - 1\/12*r**4 + 7*r**2 + 1\/60*r**5 + 0 - 1\/6*r**3. Give o(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 146?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/(-8))\/((-3)\/3*(-6039)\/(-2196))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - 1. Let d(c) = c + 14. Let m(p) = -p. Let v(n) = d(n) - 3*m(n). Let z be v(f). Sort 2, z, 0 in increasing order.\nAnswer: z, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b + 2. Let v be u(2). Let q be 2\/v + 236\/(-6). Let y = -64 - q. Find the common denominator of 41\/8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 + -10. Factor m**x - 3*m**2 + m + 0*m**2 - 3*m.\nAnswer: -2*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*h**4 - 6*h**3 + 32*h**2 - 166*h + 111375894 wrt h.\nAnswer: 20*h**3 - 18*h**2 + 64*h - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*p - 2*p, 5*h + 3*p = -107. Let m = -17 - h. Solve 0 = m*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/8 - 1)*0. Suppose n = 4*s - 2*z - 378, -s - z + 139 - 37 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqkccqqkkkcqqkqc. What is prob of picking 3 c?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 20*z + 80. Calculate a(5).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 90*j**2 + 3339*j + 3402994?\nAnswer: 180*j + 3339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 1 - 15 = -2*i, 0 = 5*i - s - 17. Suppose 0*d + i = d. Suppose 3*b + d*b = 570. Is b a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/289051 and -11\/354417.\nAnswer: 2090705883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-1*sqrt(17) + 3 + 3 + sqrt(68)\/sqrt(4))**2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24619, 49247, 73911, 98611, 123347?\nAnswer: 148119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 684231156 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 173805.\nAnswer: 3, 5, 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 9 = 51. Suppose 4*t = -t + r. Let n(w) = -2 + 4*w**2 - 4*w - 1 - 2*w**t + 4*w**3. Let b(z) = 2*z**3 + 3*z**2 - 3*z - 2. Determine 3*b(d) - 2*n(d).\nAnswer: 2*d**3 + d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(30)\/sqrt(490) + sqrt(12)\/(sqrt(8)\/sqrt(2)).\nAnswer: 8*sqrt(3)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 9*l**2 + 99*l + 284. Let p be h(-3). Solve 0 = 71*k - p*k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 3*d**3 - 23*d**2 + d + 14. Let j(x) = -7*x + 121. Let a be j(18). Let t(l) = 4*l**3 - 34*l**2 + l + 21. Let c(h) = a*t(h) + 7*g(h). Determine c(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 11*a**2 - 2. Let j(u) = 3*u + 1793. Give j(g(o)).\nAnswer: 33*o**2 + 1787","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (12677 + 24209 - 6545 - 2349)*(3*s**4 - 3*s**2 + 3*s**2) in the form x*s**4 + w*s + u*s**2 + h + r*s**3 and give x.\nAnswer: 83976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**2 - 7*d - 12. Let x be q(-7). Is x > -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = m - 2, -2*m + 2 = 2*x. Suppose a - 3*i = 17, 4*a + 3*i + 4 = -x. Solve -3*b - 10 = a*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 12*i + 17. Let p(x) = -1. Let t(o) = -6*p(o) + z(o). Let b be t(7). Suppose 2*m - 315 - b = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*a*n*q + 15*a*q**3 - 2*n*q**2 - q**3 - 52*q wrt a.\nAnswer: 5*n*q + 15*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(((-2)\/20)\/((-28)\/35)). Let v be 2200\/(-6) - (j\/(-12) - 2). What is v rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 77883?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 683 + -342. Let c = y - 336. Solve 0 = -4*v - v - c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.0454 + 0.0454. Let z = 653\/4 - 163. What is the nearest to z in 0, -3\/5, -29, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 144829, 289665, 434501, 579337, 724173, 869009?\nAnswer: 1013845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03984680713 to 6 decimal places.\nAnswer: 0.039847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -621 + 675. Suppose 0 = 36*h - s*h + 2430. Calculate the highest common divisor of h and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 12, 0.1, 2\/15, 0.68, -5, -0.2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*y - 0. Let h(j) = 2*j + 6. Let u(w) = w + 5. Let z(x) = y*h(x) + 3*u(x). Let b(r) = r**3 - 4*r**2 + r. Let l be b(4). What is z(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 5*m - 8538, 127*m = 123*m - 8. Calculate the remainder when f is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 - 5*d**2 - 5*d - 3. Let u be r(6). Suppose -5*o + 4 = u*s + 1, -4*s - o = -21. What is the greatest common factor of 54 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40705, 81425, 122145, 162865, 203585, 244305?\nAnswer: 285025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 84 and 133?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 276 and 22800636.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -301 + 34111231?\nAnswer: 34110430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 AM and 3:27 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13270880*c**2 - 10711087 wrt c?\nAnswer: 26541760*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 877 - 70. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(363) + 2*sqrt(363) + sqrt(363))*-1)**2.\nAnswer: 5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 56 + -54. Let t(k) = -k**3 + 8 - 3*k**3 - 3 - 2*k. Let a(m) = -13*m**3 - 7*m + 15. Let d(j) = c*a(j) - 7*t(j). Differentiate d(f) wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 3*p - 433 = 0, -x - 3*p + 427 = 4*x. Let f = -61 + x. Let o = 41 - f. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 175*m**5 + 7*m**2 wrt m?\nAnswer: 10500*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 301383 is divided by 272.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/2 of a day in minutes?\nAnswer: 39600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*87\/72 - -3 - 3\/6. Let h(l) be the third derivative of 0*l**3 + x*l**4 + 0*l + 0 - 4*l**2. Let o(b) = -3*b**2. Determine o(h(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.048 * 3\nAnswer: 0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 584953 * 5.\nAnswer: 2924765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -2 + -3 + 16 + -11\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1*44)\/4*-8. Let g = f + -99. Let z(l) = -l**2 - 14*l - 11. Give z(g).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z - 29. Determine o(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -547797 or 0.081?\nAnswer: -547797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 5 = -9*x. Let s = 31 - 26. What is the derivative of n + 3 - x - s - 6*n wrt n?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 10 = 3*r + 2*l, l - 1 = -r. Suppose 2*i = -r*i + 870. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 145097\/8 + -18168. Let r = c - -31. What is j in -1\/4 - 3\/8*j - r*j**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -2. Let g = 151 - 150. Let y(h) = h + 10. Let o(v) = g*y(v) + 5*j(v). Let s(n) = 40*n. What is o(s(c))?\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 377 + -b?\nAnswer: 36a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 74 - 6 = 0. Suppose -3*k + 5*s + 214 = 0, -4*k - 4*s + 203 = -29. What is the remainder when k is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and 342.\nAnswer: 34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5.6 + 6. Let l = 758 + -753. Which is the second biggest value?  (a) j  (b) 0.5  (c) l  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (84\/(-105))\/((-2)\/9). Suppose 3*s = 4*y - 21, -s + 10 = 4*y + 1. Is u greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -23 + 37. Let p = 13 - w. Let m be -5 - p - (-102)\/17. Solve -6 = 2*n, -m*n - 3*n - 23 = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (133\/49 - 3)*(-28)\/10.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -2.8, 1634, -0.3, -44.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 143557?\nAnswer: 89, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.1 - -0.1. Let o be (-4)\/((-48)\/(-44)) - -3. Which is the closest to -1\/2?  (a) t  (b) o  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9694 (base 10) in base 13?\nAnswer: 4549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-40)\/(-75))\/((-10)\/25)*3. Calculate the remainder when 5 is divided by (0 + 3\/(-4))*v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 411184.8cm?\nAnswer: 4111848000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -134 + 142. Is ((289704\/32)\/3)\/(2\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**2\/9 + 509564*t\/9 - 32456933762\/9 = 0 for t.\nAnswer: 127391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j**4 - 28*j**3 + 72*j**2 - 80*j + 32 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1948 and 0.4.\nAnswer: 779.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 0 + 3)*(-2*f**2 + 3*f**2 - 3*f**2) - 4*f**2 + 149 + 5*f**2 + 33 as j*f**2 + p + w*f and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2244, 4450, 6656, 8862, 11068, 13274?\n\"Answer: 2206*m + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 453064.1 nanograms?\nAnswer: 0.0004530641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 + 4*m**2 - m + 9. Calculate t(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1102 (base 4) to base 9.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/17 and 6\/1012367.\nAnswer: 1012367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 77277894247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 13, a: 1, r: 3}. What is prob of picking 2 i?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2736140 is divided by 256?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.0676 - -0.06760549. Round r to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 3*u - 8 = -108, 0 = u. Suppose -5*s + k = -15. Let r(c) = 2*c - 6. Let g be r(5). Calculate the greatest common factor of s and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 2)*(-1 + 2 + 1)*(4*n**3 + 3*n**3 - 3*n**3).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 285 + -35?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 (base 8) in base 9?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -205*z - 70. List the prime factors of o(-5).\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1770023530 rounded to the nearest one million?\nAnswer: 1770000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (49\/21)\/(19\/36537) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 - -29. Solve 3*c + t = -p, -2*p - 4 = 2*p - 2*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5440 - 3359. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of -3*q**4\/20 - 7*q**3\/5 + 21*q**2\/5 + 144*q\/5 - 37. Determine f, given that u(f) = 0.\nAnswer: -8, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 46534386 - -2?\nAnswer: 46534388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11583916 divided by -9?\nAnswer: -11583916\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 27*c + 46 - 31 - 21 - 5*c**2 - 13 + 4*c**2. Give j(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29904.843 months to years.\nAnswer: 2492.07025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*3\/1*1)\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 173 + 9. Suppose 156 = a*r - 15*r. What is the greatest common factor of r and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -4*f - 303, -3 = f - 1. Suppose -3*d - m - m + g = 0, 0 = -4*d - m + 87. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 81177090 divided by 2\nAnswer: 40588545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2401*q = 2619*q + 372*q + 1167*q + 360745 for q.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 1454 divide 9592098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 + 5*s**2 + 6*s + 3. Let i be o(6). Suppose -2*f = -i*f - 5. Let b = -7.9 + 7.7. What is the nearest to b in 1, -2\/23, f?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2640*d + 24050 = -235*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 135\/12*(-6)\/15*(84\/(-2) - -48).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -622100 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12024432.886 + -12013527. Let m = n + -10915. Let y = 0.186 - m. What is y rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6947\/900 - 7\/225. What is the common denominator of -3 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -365*h**4 - 11*h**5 - 32*h**5 + 365*h**4 + 32*h**3 + 55*h**3 + (-2*h**2 + 3*h**2 - 4*h**2)*(-4*h**2 + 4*h**2 + 2*h**3).\nAnswer: -49*h**5 + 87*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7 or -797\/124?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1477723 + 22277 = -3*d. What is d rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 111516.99999833274 - 111517. Round x to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 PM and 9:09 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.37 + -0.01. Let l = 0.02 - g. Let z = 2.4 - l. Which is the smallest value?  (a) -0.3  (b) -4  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of 5*g - 6*g - 3*g - 10*g**2 - 18 - g. Differentiate o(z) wrt z.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, -294, -7, 4, 12 in ascending order.\nAnswer: -294, -7, -4, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1.1  (b) -4  (c) 1\/2  (d) 1\/3  (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -238*x*z**2 - 15*x*z + 4*x - 82484*z**2 + 20128*z wrt z?\nAnswer: -476*x - 164968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 382922 and 382919 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3556.903725 rounded to the nearest integer?\nAnswer: 3557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 140\/3*15\/(-10). Let h be (1 - 0)\/((-10)\/r). Solve 0 = 5*l + 4*c - 6 - h, l - 17 = 4*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**2 - 5*h - 3. Let z(a) = -2*a - 9. Let c(q) = -q - 5. Let w(l) = 9*c(l) - 4*z(l). Let o be w(-6). What is b(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l\/(l*l**(1\/4)\/l*l))**(-2\/43)\/(l\/l**2)**(12\/5))\/((((l\/l**(-1\/8))\/l)\/(l\/(l**1\/l)))\/(l**2\/(l\/(l**(-1\/4)*l)))) assuming l is positive.\nAnswer: l**(8583\/1720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 340800 to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1722347 is divided by 3636?\nAnswer: 2519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 + -71022?\nAnswer: -7101f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-1\/4)\/p*p)**(-2\/7)\/(((p*p\/(p*p*p**0))\/p)\/p*p)**(-5) assuming p is positive.\nAnswer: p**(-73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 3*d + 4 - 5*d + 2*d**2 + 3*d + 2*d. Let m be j(-1). Suppose -3*b = m - 6. Solve u - 2*u + b = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > -2\/1165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 226 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1335, -1331, -1325, -1317, -1307?\nAnswer: -1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 + 2*n**2 - 2*n - 8. Let j(d) = d**3 - d**2 + d. Let f(m) = -2*j(m) - z(m). Differentiate f(o) with respect to o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 46\/8 - (-1)\/4. Let a = 3 - g. Let c be 2 + 3\/(2 + a). Is -3 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 5. Let x be 20\/(-25) + (-1)\/z. Is 11 a factor of (x - -2 - -12) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 18521, 2, 6, -4.\nAnswer: -10, -4, 2, 6, 18521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 311653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (2\/4)\/(1*10\/(-4))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20472.606 minutes to weeks.\nAnswer: 2.0310125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 90767 - 58826. 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 remainder when 13123898 is divided by 185?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6206 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*d**2*j - 171*d*j - 10215*d - 652890*j wrt d.\nAnswer: 4*d*j - 171*j - 10215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 33964 less than or equal to 33957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1016 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7142*y**2 - 7129*y**2 + 21412*y**2 - 7*y + 8*y - y - 7137*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(49)\/((-1*sqrt(84))\/sqrt(12))*-4 + -3 + -1*(sqrt(56) - 6*(sqrt(56) + sqrt(896)))\/(-1*sqrt(800)).\nAnswer: -3 + 11*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (75*p**2 + 29*p**2 + 114*p**2)*(57 - 21 + 28).\nAnswer: 13952*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.3  (b) 59\/2  (c) 11  (d) -1\/182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 5*t**2 + 597*t + 934. Calculate f(-116).\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-9)\/(27\/6))\/(-6)*0. Let g(t) = -t**3 - 2*t**2 + 1260. Is g(v) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 7) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7278 by -6.\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 33\/5 of a kilogram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) + -3 + (3*sqrt(18))\/sqrt(9) + -2)**2 + sqrt(98) + -2*(4*sqrt(98) - sqrt(98)) + -2 + 3 + sqrt(98).\nAnswer: -178*sqrt(2) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-6*((sqrt(5472) - (sqrt(5472) - (sqrt(5472) - sqrt(5472)*-4))*-6) + sqrt(5472) - sqrt(5472))\/(1*sqrt(162) + sqrt(32)\/sqrt(4)))**2.\nAnswer: 52104989\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -97*y + 330*y + 169*y - 15678 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5072418 to the nearest integer?\nAnswer: 2252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5470.65998 + -3.00002. Let z = o - -5429.66049. Let g = z - -44. Round g to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -3*f + 3. Let v be d(-1). Suppose 5*b + 10 = v*b. Suppose -10*s + b = -20. Solve -3*o + 2*t = t - 3, -s*t + 11 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(4\/13)*y*y)**(-10\/9)*(y**(-10))**12 assuming y is positive.\nAnswer: y**(-14470\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cta. Give prob of picking 1 a and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**5 - 17*r**4 + 68*r**3 - 100*r**2 + 48*r.\nAnswer: r*(r - 12)*(r - 2)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32489273 is divided by 361?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87 = 38*m - 141 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 404, 819, 1234, 1649, 2064, 2479?\nAnswer: 2894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -87.8 + 15.8. Let j = v + 72.000054. What is j rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2905454?\nAnswer: 2, 1452727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -b**3 - 206028*b**2*c**2 + 58*b*c**2 - 2*b - 614*c**2 wrt b.\nAnswer: -6*b - 412056*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 324640*h**3 - 325309*h**2 wrt h?\nAnswer: 1947840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 + 14*k + 12. Let s = 17 + -4. Suppose -s*u = -17*u + 36. Is 18 a factor of o(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 7*h - 30. Let a be (-2)\/(-3)*(-3)\/2. Calculate the remainder when (-1)\/((-2)\/(-22)*a) is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10131, -19503, -28873, -38241, -47607, -56971, -66333?\nAnswer: -75693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1462 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 118 and 1062.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 56 - -10?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 2091457.\nAnswer: -3\/2091457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**3\/2 + 1059*s**2\/2 + 11040*s + 55950.\nAnswer: -3*(s - 373)*(s + 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -37 + 14354. Suppose 0 = h + 4*v - 2849, 0*h + o = 5*h - 4*v. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 851296001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*m - 3*l, -2*m = -4*m - 4*l - 10. Let f(k) = 1 - 3*k**m + 2*k + 2*k**2 - 2*k**3 + 6*k**3. Let q = 74 + -76. What is f(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 2*u - 12 = 0, -u - 89 = 4*k - 109. Suppose -29*d + k*d + 2000 = 0. Calculate the remainder when d is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -2*h - 4. Let z(p) = 10*p + 21. Suppose 5*c + 4*w = -22, 0 = -0*c - 4*c - w - 11. Calculate c*z(s) - 11*m(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 5*u**2 - 5*u + 27. Let b(p) = 8*p**2 - 7*p + 40. Let v(d) = 5*b(d) - 7*t(d). Let w(q) = -52 + 30 + 28 + 3*q**2. Determine -6*v(m) + 11*w(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2*o. Let v(h) = 7*h + 13. Let y(d) = 3*f(d) + v(d). Let n be y(-8). Suppose -n*z = -1234 - 1176. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -329, -439, -551, -665, -781, -899, -1019?\n\"Answer: -i**2 - 107*i - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 - 8*l**2 + 3*l - 11. Let h be c(8). Suppose -4*s + 11 + h = 0. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-7)\/(-3))\/(8\/144)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*5*((sqrt(80) - (-5 + (sqrt(80) + 1 + sqrt(80) - sqrt(80))))**2 - sqrt(80)) + -2.\nAnswer: -80*sqrt(5) + 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 + 17. Let k = -0.3 + 0.2. Let o = -1.11 + -2.89. Which is the closest to k?  (a) s  (b) 5  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of -r**3\/6 + 5*r**2\/2 + 10*r. Give x(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44308 is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 - 15.1. Put o, 0.05, -2 in descending order.\nAnswer: 0.05, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21 + 24. Let g(p) = -p. Let l be g(-11). Suppose -l - 1 = 3*w. Sort -8, v, w in decreasing order.\nAnswer: v, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 44 + -527\/12. Let y(r) be the first derivative of -1 - g*r**3 + 1\/4*r + 0*r**2. Let y(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-12)\/(-3)*18752\/(-256). Put 5, 1, o in increasing order.\nAnswer: o, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*k**3 + 5*k**2 - 5*k**2)*(3 - 3 - 2)*(-2 + 2*k + 2).\nAnswer: 28*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**3 + 5*a**2 + 7*a + 12. What is w(-6)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64960771?\nAnswer: 1931, 33641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1888 + -982. Let d = l + -902. Solve -5*r + 9 = d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-1*(5 + sqrt(11) + 1))**2.\nAnswer: 12*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 0)*(2*s - 1 + 1) + 27*s + 60*s - 38*s.\nAnswer: 45*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -3*r**3 - 2*r**2 - r. Let h be w(-1). Let u be h\/1 + 3*20\/(-24). Let d = 0.07 + 4.93. What is the closest to d in -3, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 38749, 77501, 116261, 155029?\n\"Answer: 4*w**2 + 38740*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 2*j + 66, 2*x - 3*j = x + 37. What is the remainder when x is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (178 + -108 - 114) + 91?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - 2) + 1 - (1 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*c - 5*c - 27*c**3 - 3*c - 3*c - 8*c.\nAnswer: -27*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 993 plus 1173?\nAnswer: 2166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1441*j - 48117 = -2560*j for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -156 + 1406\/9. What is the biggest value in 0.7, 0.3, g?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -161 - -176. Solve 2*s - 18 = 4*r, 6*r = 4*r + 3*s - p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - 0. Let b = -4154\/3 - -1384. What is the closest to -0.01 in b, a, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.6 + 5.6. Let y = -9 + 6. Which is the closest to 2?  (a) -3\/7  (b) y  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -12, -8, 6, 36, 88, 168, 282, 436?\n\"Answer: p**3 - p**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 45 (base 6) in base 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*g**2*w**3 - 209*g**2*w**2 + 21*g*w**4 - 62*w**2 wrt w?\nAnswer: 36*g**2 + 504*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {j: 1, n: 2, m: 3, f: 5, h: 7}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0753803366 rounded to three dps?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + 43e?\nAnswer: 43d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, x: 1, z: 5, y: 12}. Give prob of picking 1 x and 1 y.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 66 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -2*n - 2*u - 33, -4*u - 46 = -3*n. Let q(b) = -b + 1. Let r be q(3). Sort n, r, -4 in descending order.\nAnswer: n, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 31302 + -10?\nAnswer: 31242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nii when three letters picked without replacement from bbdbbbbjnjinnidgn.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -7*t. Let j be p(1). Let o = j + 0. Let k = 3 - o. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 32\/8 - -1*1. Which is the third smallest value?  (a) 1\/6  (b) q  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 67*w + 170. Let b(y) = -67*y - 180. Let f(d) = -3*b(d) - 2*k(d). Give f(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r + 23 + 43 - 2)*(-2*r - 2*r + 2*r).\nAnswer: 8*r**2 - 128*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 108 + 153. Let z = w - 43. Calculate the greatest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -243*q**3 + 348.\nAnswer: -729*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 624*l = 580*l - 264 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5134221 (base 8) to base 5.\nAnswer: -321423334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (21 - 0 - (30 + -27) - 8) + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9671670?\nAnswer: 2, 3, 5, 113, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1577 times -8670\nAnswer: -13672590","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -9*y**3 + 21*y**2 - 60*y - 18. Let b(c) = 13*c**3 - 32*c**2 + 89*c + 27. Let m(r) = 5*b(r) + 7*v(r). Does 58 divide m(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1\/25 + -31\/2025. Sort -0.3, h, 5 in ascending order.\nAnswer: -0.3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -143 + 206. Calculate the remainder when h is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.882781 litres to millilitres.\nAnswer: 1882.781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.3634463 seconds?\nAnswer: 363.4463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.1  (b) 0  (c) -10  (d) -2\/33233  (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 0*f + 312 = 0. Let c = -5075 + 5101. Calculate the highest common divisor of c and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 222.\nAnswer: -1\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23 + 100012?\nAnswer: 100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve v = -o + 3, -23*o + 4*v - 24 + 16 = 139 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 16647, 33273, 49897, 66519, 83139, 99757, 116373?\n\"Answer: -t**2 + 16629*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.038 - 0.421. Let f = j + 0.059. What is the fourth biggest value in 0.2, f, -2, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llllglgnlgg. Give prob of sequence llnl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - -5) + 12 + -3 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 855167 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42, -855, -2336, -4389, -7002, -10163, -13860?\nAnswer: -18081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 + 9*q**2 + 2*q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y - 50 = -4*l, 0 = -y + 2*l + 15 - 44 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/((-2)\/(-8)) + 0. Let a be 8\/r*(-1)\/(-1). Put a, 1, 4 in ascending order.\nAnswer: 1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32 + -11. Let k(s) = 11*s**2 - 5*s - 6. Let y(o) = -o**3 + o**2 + 3*o + 7. Let h be y(3). Calculate the remainder when k(h) is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40559245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 26 = 5*p, -5*p - 3*m - 8 = -3*p. Suppose -3*a + 440 = 5*x + a, -p*x = 5*a - 193. Suppose 0 = 4*y - 0*y - x. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, v: 2, a: 1, x: 1, i: 1, h: 2}. Give prob of sequence xv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 - (-1)\/1*-2. What is the units digit of (b - 5)*45\/(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f**3 - f**3 - f**3)*(3*f - 3*f - 7*f)*(1 + 2 - 1).\nAnswer: 70*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**2 + 6*k - 3. Let w be y(5). Suppose 0*q = -w*q + 72. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 5*b - 9 = 0, 0 = -0*b + b + 2. Suppose -3*j + 11 = -f. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-20))**(-2\/39)\/(r*r**(-3\/10))**(1\/5) assuming r is positive.\nAnswer: r**(-791\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -25 in -0.2, 3, -1\/60?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zkyykjkkyjj. Give prob of sequence yzy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5.13 + -5.1. Let j = c - 0.13. What is the closest to 0 in 1\/2, -0.05, j?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/154*(-3895)\/123 and -81\/176?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -30042*s**3 + 6*s**2 - 1201*s - 2 wrt s?\nAnswer: -180252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 22398*n**2 + 2. Let l(r) = 15*r. Calculate l(f(s)).\nAnswer: 335970*s**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11256997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1269264 and 744?\nAnswer: 1269264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (12\/(-8) - -2)*(25 + -3). Let n = 24 - 10. Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.3021 + -124.3021. What is the nearest to -9 in -0.5, h, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2055 + -1808?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7183149 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(272) + -1.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kxe when three letters picked without replacement from {k: 4, e: 6, x: 3}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 5*f + c + 23, 9 = -3*f + 3*c. Let w(s) = 22*s + 1. Let u(j) = 43*j + 2. Let p(l) = -6*u(l) + 11*w(l). Is p(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5*2)\/((-4)\/(-2)). Let m be (y - -2) + 8 - 1. Let a be (-3)\/(-2) + (-2)\/m. Solve -4*k - a = -5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29044?\nAnswer: 2, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4200727236.\nAnswer: 2, 3, 350060603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -0.06  (b) 2\/3  (c) -1  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12.8 + 14. Let g = 0.2 - 0. Let s = p - g. Which is the smallest value?  (a) 1\/3  (b) 2  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 8 = -4*o + 184, 4*o - 192 = -2*w. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + 4403?\nAnswer: 4411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/8 at least as big as -1621\/1431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m**2 + m**2 + 4*m**2)*(4*m**3 + 14*m**3 + 8*m**3).\nAnswer: 52*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 + (-21 - 2) + 23 + -25 - (-2 - -1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-2)\/(-7)*45\/61920*112.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29214 + 107122. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 954797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 11 and 35.9.\nAnswer: 46.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of -13 - k**2 + 7 + 6*k + 1 + 0. What is the first derivative of l(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -5*g + 3*b, -6*b + 2*b + 33 = g. Suppose -4*o + 5*r = -g, o + r = -2*r + 16. What is the remainder when 19 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 1956*c = 1954*c + 18, c = 5*j - 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10001112200 (base 3) to base 10.\nAnswer: -60174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 2 = -2*v, -5*q - 22 = -5*v + 13. Let y be 9\/15*-1 - (q + 1). Which is the nearest to -0.1?  (a) 1  (b) 0.5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -7*i**2 - 42*i + 105. Let h(f) = 3*f**2 + 20*f - 53. Let x(s) = -4*d(s) - 9*h(s). Let q be x(6). Calculate the highest common divisor of q and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25 + -35. Let l = 3\/2704 - 5429\/18928. Sort l, w, -0.2 in descending order.\nAnswer: -0.2, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36*0.0682198.\nAnswer: 2.4559128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 3619990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -61*a**2. Let j(i) = -2*i**2 - 258. Calculate j(d(z)).\nAnswer: -7442*z**4 - 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 15*w**2 + 124*w - 122. Calculate t(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18851 - -810563\/43. Find the common denominator of 38\/71 and y.\nAnswer: 3053","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000015333 to 7 dps.\nAnswer: 0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (48 - 5) - -68) + -37?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -5*i + 720, 6*i + 3*g + 268 = 8*i. Suppose i*c = 120*c + 13420. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2*v**2 + 5*v - 94. Let o be d(-9). Let k = o - -322. Solve -3*y + 3*l = k, -2*l = -2*y - 6*l + 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 123197016, 246394034, 369591052, 492788070, 615985088, 739182106?\n\"Answer: 123197018*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/9355  (b) -7\/19  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5039, 5034, 5027, 5018, 5007?\nAnswer: 4994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/41 or -659?\nAnswer: -659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 4279, 8546, 12799, 17038, 21263?\n\"Answer: -7*c**2 + 4288*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -3*f + 9. Suppose 0 = 4*x + 34 - 94. Let m(u) = 5 - 22*u + 35*u - x*u. Determine 3*c(o) - 5*m(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 9*u - 4*j + 17 = 0, -4*u = 4*j - 8. Let b(k) = -72*k - 1. Let a be b(u). What is a rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1001101 (base 2) to base 12\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -626*z - 60. Let d(r) = -628*r - 92. What is -2*d(g) + 3*l(g)?\nAnswer: -622*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do 40 and 3936\/95 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-34)\/8 + 3\/12. Let i = g + 6. Solve -h = -3*h + i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**2 - 10*j - 3. Let d be i(10). Let q be d*((-16)\/(-3))\/(-4). Find n, given that -7*n + 130 + 15*n**3 + 28*n - 136 - 3*n**q - 27*n**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.01 - -0.09. Let g = 102.58 + -39.58. Is g less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 0*f**2 + 6978 - 6929 + 13*f - f**2. Give l(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of -641*v**4\/4 - 235*v**3 + 876. Find the third derivative of s(h) wrt h.\nAnswer: -3846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eek when three letters picked without replacement from {e: 11, k: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1246 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -3*q - 2*d, 2*q = 2*d + 7 + 7. Suppose 19 = -k - s + 6*s, -5*s = -5*k + q. Suppose 7 = u - k. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 2*g + 48. Let r be d(-15). Suppose -r = -2*i + 2*c, -i + 25 = 2*i - 4*c. Let p = i - 8. What is the lowest common multiple of p and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -1505*j - 6026. Give r(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.17438 and 0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-846 - -868)\/(22\/26)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22.47 + 0.53. Let u = 28 - n. Let v = 334\/7 + -48. Which is the nearest to -6?  (a) v  (b) u  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -155731, -311457, -467183?\nAnswer: -622909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 1:56 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -363.07309264 + 0.00179264. Let z = u - -363. What is z rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1769, 1980, 2201, 2438, 2697, 2984, 3305, 3666?\n\"Answer: f**3 - f**2 + 207*f + 1562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -22.463 - -22.49. Which is the closest to -0.1?  (a) 1\/3  (b) 2\/3  (c) 3\/7  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24057 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.012048655419 to 4 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 2*c - 3*z - 689, 3*c - z = 411. Calculate the highest common factor of 14 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (38 + 11 + 15 + -7)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -28*a**2 - 6*a - 24. Let v(t) = -25*t**2 - 5*t - 20. Let r(n) = -6*v(n) + 5*y(n). Let f(b) = -3*b**2 + b. What is r(f(i))?\nAnswer: 90*i**4 - 60*i**3 + 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -12113022 (base 9) to base 2\nAnswer: -10110100011110001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 43196, 43195, 43194, 43193, 43192, 43191?\n\"Answer: -s + 43197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 57 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.0138, -1\/4, 0.33?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (4 - -42)\/(-2 + 5\/2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v - 1. Let k be r(5). Suppose 3*u - k = u. Let f(n) be the second derivative of -n**4\/6 + n**3\/6 + n**2\/2 - n. Calculate f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 20. Let y = 11 - t. What is the closest to 0.1 in -3, y, 10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -2*p + 346221*c - 346222*c, -15*c + 12 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -129675*d**2*w**3 + 2*d**2*w**2 - 35974*d - 4*w**3 wrt d?\nAnswer: -259350*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 667*w + 12 = 670*w, -r = -3*w + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the third derivative of -d**5\/60 + 7*d**4\/24 - d**2 + 1506*d + 30. Let z(i) = 2*i**2 - 2*i + 3. Let o be z(2). What is s(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-17)\/17)\/(1\/(-5)). Let j be (-4 - (-10)\/o)\/2. Let f(c) = -8*c**2 - c. What is f(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4980*o + 5607 + 5016*o - 5607.\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42986 (base 10) to base 15.\nAnswer: cb0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5935.658ng to grams.\nAnswer: 0.000005935658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 12*q + 5. Let l be y(2). Suppose -3*x = -2*m - 30, -5*x + 3*m = -l - 21. Calculate the lowest common multiple of (2\/(-1))\/(1 + -2) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 2*d - 3. Let s be w(2). Let o(i) = -i + 6. Let a be o(4). Let m be ((a - 2)\/2)\/(-2). Put s, m, 5 in increasing order.\nAnswer: m, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -117, -114, -111, -108, -105, -102?\n\"Answer: 3*b - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 0.05.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15258, 20910, 26562, 32214, 37866, 43518?\nAnswer: 49170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 103 + -84. Let y(h) = h - 8. List the prime factors of y(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 2) + 3 + 1 + 1. Suppose 3*o - 144 = 5*t - 429, -186 = 2*o - 2*t. Is o\/4*m\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/28 + (-38)\/(-14). Let y = -1 + o. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4102, 8178, 12254, 16330?\nAnswer: 20406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 533 and 10673.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 PM and 2:02 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*b + 9 - 9)*(4 - 3 + 2 + (3 - 3 - 2)*(-3 + 2 + 0)).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to -4707111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 28*j - 3. Let z(c) be the first derivative of -c**3\/3 + 1582. Calculate h(z(y)).\nAnswer: -28*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(8)\/(sqrt(4) + sqrt(4) + 2*sqrt(4)*5) + (-4 + -1*sqrt(2) + 2*sqrt(2)*-2)**2.\nAnswer: 481*sqrt(2)\/12 + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.56 - 26.44. Let q = o + 32. Which is the nearest to 1?  (a) 1\/9  (b) q  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 205, 885, 1997, 3523, 5445, 7745?\n\"Answer: -3*j**3 + 234*j**2 - j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -8*r**3 + 3*r**2 + 2*r + 3. Let n be c(-2). Determine g so that 630*g**4 - 10 - 59*g**2 + 285*g**3 - 30*g**2 - 21*g**2 - n*g = 0.\nAnswer: -1\/3, -2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73894?\nAnswer: 2, 36947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + -2 + -6*3. Let y = 117 - 55. Is (b - -13)*y\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 241687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 + -14. Suppose d - 3 = 4*h, -5*d - 5*h + k + 12 = 0. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-88*u + 151 + 87*u + 426)*(-2*u**2 + 0*u + 0*u) to the form r*u**3 + o*u**2 + l*u + d and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -9 + (5 - 3) - -1. Let g be 1 - ((-28)\/(-15) - (-10)\/75). Is (-703)\/(-114) - g\/z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 33 + -22. Suppose 4*y = s + 16, 2*y - i = -5*s + 19. Let r = 13 - 12.9. Which is the closest to 1\/5?  (a) r  (b) y  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k. Let y(w) = -1. Suppose 10 = -r + 6*r. Let u(v) = -v**3 + v**2 + 2. Let s be u(r). What is s*m(i) + 2*y(i)?\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/21)\/((-430)\/301).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 74505 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 33 + -30. Solve -v*y + 3 - 6 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 5, -2\/3, -4, -10\/19 in decreasing order.\nAnswer: 5, 0.2, -10\/19, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 15 = 0, -12*y - 21 = -9*y - 3*l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 99*x - 19*x + 560 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 49 + -53. Let c(v) = 14 + 13 - 3*v**2 + 27*v + 60*v**2 - 9*v**2. Let a(d) = -7*d**2 - 4*d - 4. Calculate l*c(h) - 27*a(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 13*j = -52. Suppose 2*s - 5*z = 6, -j*s + 12 = 4*z - 0. Suppose s*p - 125 = -5*y, -2*y - y = 2*p - 74. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 855293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12361?\nAnswer: 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11889798?\nAnswer: 2, 3, 59, 33587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*(x*(x\/(x*x**4*x*x)*x*x*x)\/x*x)\/x)\/x*x**(-7)\/x*x)\/(x**(-2)\/x)**47)\/(x**(-3)*x**(-12))**17 assuming x is positive.\nAnswer: x**386","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-120))\/(128\/48).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 38321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -528, -527, -526, -525, -524, -523?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2b838259 + 2?\nAnswer: 2b83825b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = -0*a + 39*a - 8. Let v(r) be the second derivative of -6*r**a - 1\/20*r**5 - 5\/6*r**4 - 14*r - 11\/6*r**3 + 0. Give v(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 266, 262, 258, 254, 250, 246?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u + 2. Let l be g(-3). Let o be -5*(l - (-6)\/15). Suppose -y = 4*a - 25, -2*y + 11 = 2*a - o*y. Calculate the greatest common divisor of 66 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -13*i - 13. Let p = -3 + 1. Let h be p\/(6\/(-2) - -2). Let g(a) = 0*a + 2 + 1 + a + h*a. Determine -2*f(j) - 9*g(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5600\/(-98))\/(-10) + 2\/7. Suppose -1012 + 1654 = f*g. Calculate the remainder when g is divided by 15 - 3\/(-1 + 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of -x**5\/60 + x**4\/4 - 5*x**3\/6 - 14*x**2. Suppose 4 = 3*h - 20. Let m = h - 4. Give n(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a**2 + 128961*a - 14610900 = 0.\nAnswer: -43100, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-20)\/40 + (1 - 182\/4). Do q and -45 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16692 divided by -41.\nAnswer: 16692\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s - 12 + 3*s + 5 + 41. Let h be w(-15). Suppose 5*i + 5*g + 0*g - 10 = 0, 2*g + 2 = h*i. Which is greater: i or 3\/28?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -3*j + 2. Let q be -2*(-7)\/4*60\/(-42). Calculate x(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/(-5*8\/60*(-180)\/(-240))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (8 - 16) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*p - 26*p + 595. Solve 0 = 2*q - 3*c + c - 4, -5*q = 4*c + p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2167120 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -6\/11, 1, -5\/2242?\nAnswer: -5\/2242","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-14\/11))\/((q\/q**(-9))\/q)*(q**14)**(-32) assuming q is positive.\nAnswer: q**(-5030\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -45*c + 1109. Let m be u(18). Solve 0 = l + m - 303 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 s, and 1 h when three letters picked without replacement from gszehfe?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rmrr when four letters picked without replacement from {m: 4, r: 6}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17002 + 16992.039. Round q to 1 decimal place.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -66745 (base 13) to base 6.\nAnswer: -3552044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 13, -4, -27, 1, -7 in descending order.\nAnswer: 13, 1, 0, -4, -7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**4 - 16648*y**3 - 33312*y**2.\nAnswer: 4*y**2*(y - 4164)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1422, -2839, -4252, -5661?\n\"Answer: 2*d**2 - 1423*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/45)\/(1\/5) - (-13 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 141 and -0.05?\nAnswer: -7.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + 0 + 2 - (2 + 26 + -105) - 11.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12786 + 12791. Suppose -4*z = 7 - 15. Let d be ((-5)\/((-10)\/4))\/z. Which is the third smallest value?  (a) q  (b) -14  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 15635940.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 + 25*k**2 - 27*k + 75. Let q be h(24). Let p = 434\/5 - 86. Which is the nearest to 3?  (a) p  (b) -5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = 2*g + 73, 566*g - 13 - 23 = -v + 567*g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 392, 3126, 10562, 25052, 48948?\nAnswer: 84602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 1650*s**2 + 1 - 12*s + 3*s**3 - 1651*s**2 - 2 in the form r + n*s**3 + b*s + m*s**2 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*k**5 - k**3 + 21190*k**2 + 9*k + 15912?\nAnswer: -60*k**3 - 6*k + 42380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, u: 5, i: 3, p: 1, b: 1, q: 1}. What is prob of sequence ibiq?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7445, 35644, 63831, 92000, 120145, 148260, 176339, 204376?\n\"Answer: -y**3 + 28206*y - 20760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 4*z = 16, -4*h + 9 = 4*z - 3*z. Let q = -11 - -2. Let o = q - -11. What is the nearest to h in o, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.13 - 8.63. Let o = p + 0.5. Let f = o + 11. Which is smaller: -1\/4 or f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13395906 (base 10) to base 4.\nAnswer: -303012133002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -88, -229, -498, -937, -1588?\nAnswer: -2493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -117 + 317. Let d = 204 - f. Sort -5, d, -2 in decreasing order.\nAnswer: d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 544*h - 79 - 3729. Solve 235 = h*v + 263 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-42))\/(36\/(-1176)*-14)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.429029 to one decimal place.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -43*b - 2 + 20*b + 20*b - 5. Suppose -20 = 4*q - 0*q. Determine m(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate c**2 - 517773*c*o - 62830*o wrt c.\nAnswer: 2*c - 517773*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 4, 1, -13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 439 + -220. Let u = n + -9. Let x = -131 + u. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-6 + (-135)\/(-9))*(-1 - -7) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*3312.0916.\nAnswer: 993.62748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x - 7*x - 10*x + 7*x. Let m(u) = -9*u. Give p(m(h)).\nAnswer: 99*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181 is divided by 53?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*w - 27 = 6*w. Solve 5*i + 10 = 3*b - 7, -7 = i + w*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/360 and 51\/70?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1375200?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 833 is divided by 148.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 20. Solve 3*r - 2*x - 2 = g, 2*x = 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -80*x**2 + 76*x**2 + 26*x - 9*x as q*x + d + s*x**2 and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11634562 to the nearest integer?\nAnswer: 3411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 51 + -38 + -75 + 0 + 5\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5*(-3)\/6)\/((-36)\/(-144)). Solve 10*l - 15*l + 25 = -3*i, 2*l - s = -i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2 = -j + 2*j, 10 = -2*j. Let p = c - 3. Let y(h) = h**3 - 5*h**2 + 5*h - 4. Let w be y(3). Are w and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + 3. Let b(h) = h**2 - 8*h + 3. Let f be b(i). Let y be -1 + 2 - (1 - f). Sort y, 1, -5 in increasing order.\nAnswer: -5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1284 + 1284. Solve -8*p + 22*p + 14 = f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((8\/(-60)*9)\/((-228)\/(-760)))\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -269 + 390. Let v = p + -121.00047. What is v rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 3*r**2 + 4*r - 165. What is k(10)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3035 + -3036. Put -2, -54, p in increasing order.\nAnswer: -54, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 - 18*g**2 - 18*g - 42. What is the hundreds digit of i(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-7) - 128\/7. Let t be ((-4)\/(-3))\/((-2)\/b). Solve t = -4*v - 4*h, 0*h + 3*h + 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -46*t**2 - 8*t + 436.\nAnswer: -92*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89011161.\nAnswer: 3, 43, 230003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -4*x + 71, 0 = 5*x - 2*c - c - 55. Suppose r - 3*r = 5*j + x, 2*r - 5*j - 6 = 0. What is the smallest value in r, -0.4, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from ircdddrcdcr?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bpp when three letters picked without replacement from pphhhhobbhpbobbbobhh.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 17, p: 3}. Give prob of picking 2 p.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 2)*(-21*c - 2*c - 42*c).\nAnswer: 65*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of -w**5\/20 - 19*w**4\/2 - 722*w**3 + w**2 - 123. Suppose f(m) = 0. Calculate m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 887239.6 micrograms to nanograms.\nAnswer: 887239600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of -d**5\/15 + d**4\/12 + 5*d**3\/6 + 3*d**2. Let q(n) = -1 + 1 + n**2 + n. Let v(f) = 5*q(f) + t(f). Calculate v(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -23 by 11560.\nAnswer: -23\/11560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -26*l**2\/9 - 160*l\/3 + 424.\nAnswer: -2*(l - 6)*(13*l + 318)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2639*l**2 - 6*l - 1. Let f(q) = -7916*q**2 + 17*q + 3. Let s(c) = -6*f(c) - 17*j(c). Is s(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (43 - 106 + 43 - 4*x)*(-83*x**3 + 39*x**3 + 39*x**3).\nAnswer: 20*x**4 + 100*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 102 + (-63 - -203 - 279).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 5, 198\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3234 - -6722. Is 15\/(-105) - u\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 228 and 53309148.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -28*z**3 + 54*z**2 + 313*z + 7. List the prime factors of y(-7).\nAnswer: 2, 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -8*w**3 + 12*w - 4. Let x(n) = n**4 - n**3 + n**2 - 1. Let g(t) = f(t) + 4*x(t). Factor g(l).\nAnswer: 4*(l - 2)*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33217\/91630 - -23\/1078. What is the common denominator of 12\/119 and g?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h**3 + 298*h**2 + 8*h - 1198. Let r be x(149). Sort -15, 9, r, 2 in decreasing order.\nAnswer: 9, 2, r, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:03 PM and 4:18 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1)\/(-3)*-94*(-90)\/60 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-5)\/(-2))\/((-4)\/8). Let a(i) be the first derivative of 2*i**3\/3 - i**2\/2 + 2*i - 23. Let n(d) = -d**2 - 1. Determine o*n(r) - 2*a(r).\nAnswer: r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 4*n + 32 = 0, 10*j - 10*j = 3*n + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4*3\/(12\/5). Let y be (-29)\/(-5) - 4\/5. Solve d*n - 5*f + y = n, -10 = -2*f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 6:08 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -3 + 2*x + 4 + 0*x. Let o be y(6). Let l = 656339\/55860 + 4\/13965. Is o not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -3*i**2 + 2235*i\/4 + 1683\/4 = 0.\nAnswer: -3\/4, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8520 and 170116.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82350188?\nAnswer: 2, 20587547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a**4 + 68*a**3 + 1808*a**2 + 3328*a = 0 for a.\nAnswer: -16, -2, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(245) - 5*(sqrt(245) - (5 + sqrt(245))) - (0 + (sqrt(405) + 2 - sqrt(405))))*6)**2.\nAnswer: 11592*sqrt(5) + 27864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -269609, -538961, -808291, -1077587, -1346837, -1616029, -1885151, -2154191?\n\"Answer: 2*g**3 - g**2 - 269363*g - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -45 + 5?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6.06 - 0.06. Let s = -49 + 73. Let d be (-1)\/3 - 4\/s. Which is the nearest to -2\/7?  (a) 1\/5  (b) d  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -2) + ((-93)\/(-155) - 1*2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 18186870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, h: 2, u: 4, n: 5}. Give prob of sequence xux.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97 = -7*c + 2*c + t, 5*c = -3*t + 109. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 719 and 230.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10*-6*(-1)\/15. Suppose 2*o + 26210 = -0*o - 5*x, f*o = -x - 52402. What is o rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1524 and 19.\nAnswer: 28956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 - -8. Let p be ((-2)\/4)\/(1\/x). Solve 5*d - p*d = 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 988.21 and 1?\nAnswer: 988.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 12 - -197c5e?\nAnswer: 197c70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 27111775, 54223543, 81335311, 108447079, 135558847, 162670615?\n\"Answer: 27111768*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 210556, 842354, 1895388, 3369664, 5265188?\n\"Answer: x**3 + 210612*x**2 - 45*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -k**4\/3 - 5*k**3\/9 + 11*k**2\/9 - k\/3 = 0.\nAnswer: -3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.09 + -14.91. Let v = k + 15.3. Let z be 1\/(-9)*(-2 - 0). What is the nearest to -0.1 in -0.2, z, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -21*(4\/(-3) - -1). Let v be ((-86)\/(-6))\/(x\/14). Let h = 29 - v. Which is the closest to -0.1?  (a) 0.5  (b) -1\/2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 + 14 + 33 + -68 - (-8 + 1 + 0)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-225)\/117*(-7*1064\/(-16170) + 4\/(-66))?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of 0 + 0*t**3 + 0*t**4 + 1\/10*t**6 + 2*t + 1\/2*t**2 + 0*t**5. Find the first derivative of w(d) wrt d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/6*(-1)\/((-20)\/8).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2686*i + 253*i**2 - 11*i**2 + 2946*i wrt i.\nAnswer: 484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122464357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**5 + 21*p**5 + 14*p**5 + (p**2 - 3 + 3)*(-5*p**3 + 3*p**3 + 0*p**3) + 3*p + 2*p**5 - p**5 - 4*p.\nAnswer: 33*p**5 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 12384.907 and 44.3?\nAnswer: 12340.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -c + 2*c + 81, -2*i + 4*c + 58 = 0. Suppose -i*d = -48*d + 48053. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*((-1)\/(-1)*14)\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.034685467 to five dps.\nAnswer: 0.03469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1323505 and -0.007.\nAnswer: -1323505.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -4*z - 40, -3*z + v - 6 - 5 = 0. Let r = 10 - z. Find the second derivative of -3*j + r*j**5 - 7*j**5 + 5*j**5 wrt j.\nAnswer: 260*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y - 7. What is q(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -18*n - 652. Determine x(-37).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + 5*q + 13, -3*q = 5*z + q + 2. Suppose -2*f - 4*a - 100 = 0, -z*f + 3*a - 94 = -29. Let x be -3 - (2 + f\/12). Is -1 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 - 2. Suppose 8 + c = h. What is the remainder when 37 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1525 - 2546. Is t at least -1022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-49 - 0) + (32 + -57 - -9) + 3\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 2*b - 398 = -393, 14 = -2*i - 4*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2459792 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the second derivative of -5*m**4\/12 - 3425*m**3\/3 - 2346125*m**2\/2 - 141*m + 4. Factor z(y).\nAnswer: -5*(y + 685)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*d + 2*d + 187 = 0. Suppose 6*p + d*p - 34 = 0. Solve p*b + c + 0 = -11, -4*b = c + 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2147 divided by -79607?\nAnswer: 2147\/79607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 445 is divided by 67.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1123 - -333121031?\nAnswer: 333113302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 8223271 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -349 - -351. What is the nearest to 0.05 in -2\/11, b, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1326111 is divided by 244?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -2  (b) 1\/12  (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 233487431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7677 - 7674. Let x = -4.3 - -4.2. Let z = 0.7 + -1.1. Which is the closest to x?  (a) 0.1  (b) g  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*d - 138*d - 1 = -239*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**7)**(1\/30) assuming s is positive.\nAnswer: s**(7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*(c*c**(-16)*c*c)\/c)\/c*c**(11\/5) assuming c is positive.\nAnswer: c**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-6)*q\/q**(-8))**(3\/40)*(q**(2\/3))**(-2\/83)\/((q\/(q*q\/q**(1\/4)))\/q)**46 assuming q is positive.\nAnswer: q**(803861\/9960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 35 = 4*j, -14*z + 1 = -16*z + j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3d (base 14) to base 5\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -39 - -63. Suppose h*o - 27*o = -60. Solve -11 = 3*s + 2*t, 2*s + 4*t = -2*s - o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*y + 18 = -64*y - 4*u, 0 = 2*y + 4*u + 24. Suppose 2*g - 8 = 4. Let k(p) = -g*p - 7 - 4*p + 2*p. Let x(s) = -9*s - 8. Calculate y*x(d) + 7*k(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 - 3*i**2 + 2*i - 1. Let c be m(4). Calculate the greatest common factor of c and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23 - 19. Suppose 2*g - 2*i - 4 = 0, 2*g - i - 4 = -0. Calculate the smallest common multiple of g and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 3*m - l + 26, 0 = -l. Let g = m + 13. What is the tens digit of 27 + (-2)\/(-1) + g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 + 2*l - 4. Let f be (-7 - -5)*(1 - -2). Let q be c(f). Solve -4*j + r - 8 = -3*r, 5*j - q = -r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22227 and 4557?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 - ((3 - 3) + -2). Suppose 0 = o*v - 3*q - 12, 3*v - 2*q - 3*q - 12 = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 263 + -125. Suppose -537 = -5*d + j. Does 27 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -71*q + 7. Let i(h) = h + 1. Let o be i(-2). Calculate the remainder when m(o) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 467200964?\nAnswer: 2, 116800241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (8 - 5) + (-8)\/(-2). Let b(u) = -u**2 + 15*u - 10. Let p be b(z). Suppose y - p = -0*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35845*y - 36047*y + 72217*y to the form p + o*y and give o.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 256 is divided by 97.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k + 20. Calculate t(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - -4)\/6*0. Suppose -3*k + 12 = 3*v, k + x*k - 10 = -3*v. Suppose 0 = -v*p - 4*b + 25 + 26, -2*p + 34 = 2*b. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.25?  (a) 6  (b) 105  (c) -5  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 839 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 - (2 - (2 + 13) - 0). Suppose s*j - 8 = -76. Let k(p) = 3 + 5 - 4 + p. Determine k(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, y: 3, q: 2, n: 3, m: 4, j: 1}. What is prob of sequence tjt?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46359, 46363, 46367, 46371?\nAnswer: 46375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -5*d + 23832, -4*m + 47712 = -0*d - 2*d. List the prime factors of 4\/(-6) - m\/(-267).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67722047483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*u - 9*u + 2892 - 2892.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9031371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (49 - 77) + 31 - (8 - (0 + -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*j + 412 - 324 - 720 to the form f*j + y and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aqqaaaxqaaaqa. Give prob of sequence qa.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 5*m = 208, -6*m - 206 = -2*h - 10*m. Calculate the greatest common divisor of h and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*3*sqrt(85)\/sqrt(5) + (sqrt(612) - (sqrt(612) + 4*(2 + sqrt(612))))**2.\nAnswer: 396*sqrt(17) + 9856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of 0*f**4 + 0*f**5 + 0*f**6 + 53*f**2 + 0*f**3 + 0*f + 1\/945*f**7 - 1\/1512*f**8 + 0. Let q(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15170*o**2 - 15163*o**2 + 30327*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**3 + 2040*q**2.\nAnswer: 4*q**2*(q + 510)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 7*g - 568. What are the prime factors of g?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8364.1 + 8364. Put 208, t, -0.3 in decreasing order.\nAnswer: 208, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 203, 97, -1, -85, -149, -187, -193?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of -3*g**5\/20 - 5*g**2. Let m(h) be the third derivative of -h**4\/8 + 3*h**2 - h. What is m(z(l))?\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 42*h - 135. Calculate c(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i. Let g(y) = 657428*y**2 + 5*y + 1. Calculate g(c(j)).\nAnswer: 657428*j**2 - 5*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2625 = -1165*p + 1158*p. Calculate the greatest common divisor of p and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/2*-2 - 2. Let y = w + 2. Sort y, -4, 3 in increasing order.\nAnswer: y, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 969094 and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.0091 and 0.06.\nAnswer: 0.0509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -228*b - 455. Let f be s(-2). Sort 3, 5, 36, f in increasing order.\nAnswer: f, 3, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (-21 - (6 - 44))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a - 5*l = 53 + 34 + 23, 100*l + 1775 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 239 - 237. Factor -1\/3*o**2 - 3 - m*o.\nAnswer: -(o + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32 and 13408?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3*(-6)\/(-14)*(-13)\/39\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 2*q - 37*o + 35*o, 5*o = 42*q - 170 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 113809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 16*(-13240)\/1920 - (-4)\/12\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2*k + 4)*(4 + 3 + 0 + (-1 + 0 - 1)*(4 - 5 + 2)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12035573027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s = -3*l - 9, 2*s + 6*l - 3 = 5*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - (15 - 9) - -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 + 34)\/(15*(-16)\/(-80)). Calculate the greatest common factor of v and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2 - 160*p - 471.\nAnswer: -(p + 3)*(p + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 267084 divided by 6\nAnswer: 44514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 10386796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f - 7. Let m be (-105)\/10 + (-2)\/(-4). What is the units digit of p(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -75619\/15 > -5042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7 - -61?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5613*g**5 + 1125*g**4 + 6*g**3 - 33262115*g**2 + 1 wrt g.\nAnswer: 336780*g**2 + 27000*g + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1168.71289353 + 855.712893325. Let p = h - -313. Round p to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.7 - -786.609329?\nAnswer: 784.909329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 247519?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -246\/11 or -22?\nAnswer: -246\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 386992.\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 + 19 + (-22 - 17) + 2.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, i: 4, x: 1, k: 5, a: 1, w: 1}. What is prob of sequence wi?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 2 = -3*c, 3*c - 18*m + 13*m = 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 740 = 11*x - 6*x. Let g = 735 - x. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1386)\/330 - (-8)\/2. Which is bigger: 111 or v?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -85703 divided by -2?\nAnswer: 85703\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1110 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -495113*f = -495028*f - 2295 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11\/2?  (a) -2  (b) 449  (c) 4  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**2. Let j(a) = -283 + 30*a**2 + 140 + 143. What is w(j(o))?\nAnswer: -900*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the third derivative of a**7\/105 + 173*a**5\/3 - 841*a**3\/3 + 4330*a**2. What is the derivative of r(m) wrt m?\nAnswer: 8*m**3 + 6920*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 11*s + 65. Let f be k(-5). Suppose -14*u + 10 = -d - f*u, 2*u - 60 = -5*d. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 0*w - 4 - 9 - w + 0. Let l be z(-9). Suppose -2*p + 0*p - 2 = 0. Put p, -5, l in descending order.\nAnswer: p, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/7 + 38*d\/7 + 176\/7.\nAnswer: 2*(d + 8)*(d + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 7, h: 1, g: 11}. Give prob of picking 1 h, 1 d, and 1 g.\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.026599036 + 0.0266. Round v to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, -2\/91, -0.4?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8232 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -610 - -772. Which is the third smallest value?  (a) p  (b) 2\/17  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**1)**21*w**(-1\/5)*w**(-2\/7) assuming w is positive.\nAnswer: w**(718\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-755)\/(-15) - 15\/(-9) - (2 - 0) is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3127 - 2583. What is the remainder when b is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-5)*u)\/u**(-2\/7)*u**(-1\/4)\/(u*u**(-4\/5)\/u) assuming u is positive.\nAnswer: u**(-443\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 215*r - 2748*r - 119*r.\nAnswer: -2652*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x**2 + 3*x**2 - x**2 + (2*x + x - 4*x)*(x - 2*x + 2*x) - 31*x + 31*x - 15*x**2 + 3*x**2 + x**2 - x**2 - x**2 + 5*x**2 + 0*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -10 - 5, -3*a + 4*y = -96. Suppose -3*b - 2*d - a = 0, 3*b = 2*d - 6 - 2. Let m(q) = -12*q - 5. Is m(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -127.3125 * 5.\nAnswer: -636.5625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6901 is divided by 265.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 123, 100, 65, 18, -41, -112?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2*u**2 - 30*u + 22. Let s be b(16). Let z = s - 49. Solve j + 12 = 4*g, -z*j + 8*g - 4*g = 28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -14. Let h be (4\/15)\/(i\/10). Let n be (-3)\/15 + (-24)\/(-30). Which is the nearest to h?  (a) 4  (b) 3  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*i - 15*i + 41*i - 61*i**2 - 50*i**3 - 13*i.\nAnswer: -50*i**3 - 61*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/((-5)\/1) + 1. Let u = l + 0. What is the lowest common multiple of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18 - -21. Suppose -4 = v*i - 5*i. Suppose 17 = 5*h + i. Solve -1 - 8 = h*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -102570 by -263.\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from sbssssklsksbkk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2276734 + 2?\nAnswer: -2276732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2729, -11408, -25873, -46124, -72161, -103984, -141593?\n\"Answer: -2893*k**2 + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hwho?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -13*m**3 - 2*m**2 + 2*m + 4. Let t be q(-2). Calculate the highest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29*o**3*z + 129*o**3 - 7*o**2*z + o**2 + 20*o wrt o.\nAnswer: -174*z + 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 269\/6, 1, -0.5, 0.1.\nAnswer: -0.5, 0.1, 0.5, 1, 269\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -4*y, -2*l - 2*y = 3*y + 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) -2\/17  (b) -2\/9  (c) -3\/7  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 675*x**2 - 4*x - 10495.\nAnswer: 1350*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 4*m**2 - 2*m. Suppose x = 5*p - 60, 4*p + 2*x + 11 = 73. Let c = p - -3. Calculate the remainder when r(3) is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (467 - 49*f - 467)*(4 - f - 4) + (0*f - 3*f + 4*f)*(-f - 2 + 2) + 4*f**2 + 0*f**2 - 5*f**2.\nAnswer: 47*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 - 2*c + 5 - 2*c + 0 + 0 - 1 + 1 + c + (-3 + 1 - 1)*(-3*c + 2*c + 3*c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34457 (base 8) to base 16.\nAnswer: 392f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -3*g + 24. Suppose -v - 8 = 3*y, -3*v - 167 + 151 = y. Calculate the remainder when 349 is divided by w(v).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 832818 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 20 + -44 + 31 - -16\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -1, -0.104?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 2*q + 49 = 55, -q = 2*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.3 + 0. Let d = 8 + -15. Let s = -7 - d. What is the nearest to s in w, 1, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the third derivative of 13*a**7\/105 + 29*a**5\/60 - 24*a**2. Find the third derivative of h(n) wrt n.\nAnswer: 624*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -32, 2, -2 in increasing order.\nAnswer: -32, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 861 - 608. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (84\/(-7) - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 501 is divided by 124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 32\/5 of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*q**4 + 124*q**2 - 2*q**3 + 5*q**3 - 124*q**2.\nAnswer: 3*q**3*(7*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*y + 11*y - 11*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -5367600 divided by -497\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 2*o - 121, -4*o - 119 = 4*z - z. Let k = z + 45. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/333200 and 75\/10472.\nAnswer: 3665200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6248078 litres to millilitres.\nAnswer: 624.8078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 426 and 5010?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -49787609940380.\nAnswer: 49787609940376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-28 + 15 - 28)*(-2*h - 2 + 2)*(3 + 2 - 3)*(-1 + 9 - 1) in the form r + i*h and give i.\nAnswer: 1148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 5*d**3 + 7*d**2 - 5*d - 12. Let g(p) = -3*p**3 - 4*p**2 + 3*p + 6. Give 7*g(u) + 4*r(u).\nAnswer: -u**3 + u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.2055299 + 0.20451. What is r rounded to 5 dps?\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 165555, 165559, 165563, 165567, 165571, 165575?\n\"Answer: 4*w + 165551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/4)\/((-3)\/((-15)\/(-1))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of 0*o + 0*o**5 - 18*o**2 - 3\/2*o**3 - 1\/540*o**6 + 1\/36*o**4 + 0. Let n(m) be the first derivative of z(m). Factor n(r).\nAnswer: -2*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4552.3 - -4601. What is the biggest value in c, 5\/3, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-40))\/(-5*3\/45)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -14117, -28234, -42351?\n\"Answer: -14117*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 61544 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1091 times 1.87?\nAnswer: -0.204017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 - 7*v - 11. Let l be t(8). Let y = 10 - 12. Sort y, l, -4 in increasing order.\nAnswer: -4, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00210669792 rounded to 7 dps?\nAnswer: 0.0021067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1420123333 (base 5) to base 12.\nAnswer: 1293892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000119299 to seven dps.\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 456299 is divided by 333?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 297 - 294. Suppose z*n + 48 = x - 12, 5*n = 2*x - 122. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/19962 and 29\/20?\nAnswer: 199620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 4*b**2. Let x(z) = -103*z - 144. Let y(n) = n - 48. Let t(q) = -x(q) + 3*y(q). Give r(t(d)).\nAnswer: 44944*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -15*y**2 + 1. Let j(b) = -b - 20. Let l(p) = 2*p + 60. Let i(n) = 3*j(n) + l(n). Give x(i(z)).\nAnswer: -15*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange g**4 - 2*g**2 + g**4 - g - g**3 - 3*g**4 to the form f + s*g**3 + u*g**4 + q*g**2 + y*g and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*t**3 - 52*t**3 - 2*t**2 + 24*t**3 + 41*t**3.\nAnswer: 3*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2944 is divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*w + 55*w + 67*w**2 - 114*w.\nAnswer: 67*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -5675, -10198, -17743, -28316, -41923?\n\"Answer: -k**3 - 1505*k**2 - k - 4168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -3*w**2. Let x(k) be the first derivative of 8159*k**3\/3 - 879. What is z(x(g))?\nAnswer: -199707843*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/(-36) + 11\/9. Let t = 2\/197 + -436\/4137. Sort -1\/6, f, 0.04, t in increasing order.\nAnswer: -1\/6, t, 0.04, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -11*f**2 - 23*f - 69. Calculate h(-8).\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mje when three letters picked without replacement from {j: 1, m: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of p**6\/480 - p**5\/60 - p**4\/96 + p**3\/6 + 8*p**2. What is l in h(l) = 0?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5361 to two decimal places.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10*-17*(-63)\/60690?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 + 5)*4\/6. Suppose -3*a - g = -4*a. Solve -a*c = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 8*k + 13. Let v(m) = 1. Let p(j) = -2*v(j) + x(j). Calculate the remainder when p(9) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4462 - 1410 = 579*y + 2046 + 767 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/6)\/((-2)\/(-3)). Let h(q) be the first derivative of q**2\/2 - 5*q + 1. Let i be h(5). Is i greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -69\/8982521 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 47979 and 435861?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 + (-83 - 2))*1. Let i be 10\/40 + m\/(-4). Let b(l) = 119*l - 62. Is b(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 + 2 - 2)*(-4*o**4 - 2*o**2 + 2*o**4 + o**4).\nAnswer: -13*o**4 - 26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*r + 32 = 14*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -13a1 - 3?\nAnswer: -13a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tex when three letters picked without replacement from {j: 1, t: 1, x: 2, m: 1, e: 1, h: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 5*b, -b = z - 0*b. Solve 5*k + 10 = -z*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - -4. Let u = -3.34 - -3.3. Which is the smallest value?  (a) 0.2  (b) u  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1\/6732 - 32129\/6732. Let i be 890\/24*2\/5. Let k = 25\/3 - i. What is the common denominator of c and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*l**(2\/7)*l*l)**(-50)\/(l\/l**0)**9)\/((l\/l**1)**14)**(12\/7) assuming l is positive.\nAnswer: l**(-1563\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from iutnnpuutupptinnipu.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is p in p**3 + 10844*p**2 + 29387237*p - 58817858 = 0?\nAnswer: -5423, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -995 or -994?\nAnswer: -995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-54 - 2316)\/(-79) + (-25 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(33\/((-3036)\/(-1058))).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v - 4. Let r be (-7)\/(1\/9*-3). Let l = -15 + r. What is g(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 563*d - 576*d = -52. Suppose 3*o + 88 = 4*p - 65, -178 = -d*p - 2*o. Calculate the lowest common multiple of 48 and p.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b - 56 + b + b - 8*b - 4*b. Let c be q(-5). Factor -56\/5*z + 10*z**c + 138\/5*z**2 + 8\/5 - 28*z**3.\nAnswer: 2*(z - 1)**2*(5*z - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + o + 2*o + 143 = 0, -o + 307 = 4*f. Calculate the smallest common multiple of f and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(6)\/sqrt(3)*-5 + -1 + (sqrt(2) + 0)**2 - sqrt(20)\/sqrt(160)*-1.\nAnswer: -19*sqrt(2)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 14\/2 + 3 + -3. Let s(g) = -11*g + 81. Let t be s(f). Solve -t*d - 15 = -7*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -37546*a**2 + 18756*a**2 + 18765*a**2 - 2537*a + 3*a**3 wrt a?\nAnswer: 18*a - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 2*i - 21 = 0, -2*h = -i - i. Suppose -h*o = -o - 6. Solve -o*w - 3 = -2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 30 = -t. Let g(w) = -413*w + 3305. Let k be g(8). What is the highest common factor of t and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2 + 12*d + 115. Let y be m(-6). Suppose 2*t - y = -1. Solve -f + 8*l + 24 = t*l, -5*l = 25 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-8)*69)\/(55*408\/(-59840)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 (base 5) in base 11?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 0*f + 2, 3*g + 4*f - 17 = 0. Does 8 divide g\/((-28)\/(-88)) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 43004 = 16*o + 42983, -16 = 4*v + 4*o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-20)*65\/52?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6263 is divided by 319.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 5\/3, -3, 3\/4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1033 equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/(-12))\/(8\/(-50)). Let o = 3\/16 - d. Do 2.3 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (-32 - -32) - 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(77)\/(-1*sqrt(7)) + (1 + sqrt(539))**2)*-4*3.\nAnswer: -6485 - 156*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x - 3*x + 407*x**2.\nAnswer: 407*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1718.148 millimeters to centimeters.\nAnswer: 171.8148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of -o**4\/24 + 2*o**2 + 20*o. Let u(k) = -2. Determine -5*m(q) + u(q).\nAnswer: 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*g - 8*g - 4*g - 36 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 37 = y, -s - 4*y - 7 = 5. Solve 2*v = 6*v + s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 - 104*v**2 + 21*v + 2183. Give d(-104).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 277620\/20 + 39 + 0 + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + -5a24?\nAnswer: -5a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -350 + 355. Let n(t) = -t**3 - t**2 - 2*t - 2. What is the least common multiple of p and n(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 381*p**4 + 74648*p**3 - 17659000*p**2 + 2*p wrt p.\nAnswer: 9144*p + 447888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 381422 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -1. Let m be (18 + -16)\/(2\/144). Let w be 2\/9 + (-248)\/m. Are w and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 404 - 140. Is 66 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 47, -9, -129 in increasing order.\nAnswer: -129, -11, -9, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(117) - (-3*(sqrt(117) + (sqrt(117) - 2*sqrt(117))) + sqrt(117))**2) + 4 + (sqrt(117) + (0 + sqrt(117))*1 - (sqrt(117) + -1)*-5)**2.\nAnswer: -225*sqrt(13) + 6347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 45689542 divided by -22844771\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*a = 105*a + 130 + 1298 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -16396\/25 greater than or equal to -657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 1 - d - 2 in the form n + l*d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 0.3, -0.6, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3  (b) -0.5  (c) -3\/56  (d) -3.3  (e) -31  (f) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 3, 365\/43, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w + 179 - 212 - 198 - 210 as o + b*w and give o.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 29 - (246 - 259 - (1 - 14))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of (438\/(-8))\/(-1) + (-6)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -2*m**2 - 9*m + 49. Let n be s(3). Solve -3*d - 2*u = -25, -4*d = n*u - 9*u + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 575 + -478 + (0 - 68)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 1\/4, 3, -2, -3, 1136.\nAnswer: -3, -2, -0.3, 1\/4, 3, 1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 20016 (base 10) to base 15\nAnswer: 5de6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12955 + -12961. Let x(t) = 66*t**2 + 11. Let n(u) = 13*u**2 + 2. What is g*x(a) + 33*n(a)?\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1958832117 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 - 33*g**2 - 543*g - 19617. Let m be c(-34). Suppose -2*k + l = -l - 22, 4*l - 46 = -5*k. Suppose 0 = -6*n + n + k. Solve -n*u = -m - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/3 - (-154)\/21. Let m(y) = y**3 - 2*y**2 - y - 3. Let b be m(3). Suppose 4*h - b = h. Calculate the highest common factor of h and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0608122 * 0.4.\nAnswer: -0.02432488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 4238096.\nAnswer: -1\/1059524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-5*(4 + -4*sqrt(68))**2 + -5 + (sqrt(187)\/sqrt(176) - (-6*sqrt(17)*1)**2)) + 0.\nAnswer: -1281*sqrt(17)\/2 + 12274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/(-4))\/(2\/4). Let p be (3 + 5)*b\/2. Let s = 40 + -28. Solve -s - 4 = -p*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 - -11 - (1 + -12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 + 16*h**2 + 12*h - 19. Suppose w = -1, -2*b + w - 29 = -0*w. Is 4 a factor of r(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/2 - (-65)\/104*-8. Put -32, 10, x in ascending order.\nAnswer: -32, x, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 45\/8 and 47\/1654200?\nAnswer: 1654200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -12*a + 15*a - 32, 3 = -6*d + 9 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 + 25. Let c = f + -7. Suppose 0 = -c*s + 4 - 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 418553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2421 = 17*b - 13250. What is the highest common divisor of b and 784?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*u**2 + 40*u**2 - 12*u**2 - 15*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -5 + (sqrt(208)\/sqrt(4)*-1 - sqrt(52)) + 2 + 3)**2*4.\nAnswer: 160*sqrt(13) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 176420?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -679477909222925 + 0.2\nAnswer: -679477909222924.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 305, 1148, 2543, 4484, 6965, 9980?\n\"Answer: -t**3 + 282*t**2 + 4*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + -b2b?\nAnswer: -b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/85 and -103\/10060.\nAnswer: 171020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -247 - -372. Suppose -a = -4*u + 51. Let b = u - 11. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4737, -25716, -60677, -109614, -172521, -249392, -340221?\nAnswer: -445002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g**2. Let p(q) = 113503118*q**2. Determine k(p(z)).\nAnswer: 25765915591443848*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55 + 9 + (-17 - (-18 - 10)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j, 1 e, and 1 y when four letters picked without replacement from jejjkqkyyyekxjy.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -223 - -227. Solve 0 = p*z - 5 + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 2 + -3 - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 60955, 60944, 60933?\nAnswer: 60922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 - 4*r**2 + 7*r + 5. Let z be v(-5). Let w(p) = -2*p - 10. Let q be w(z). Is q bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2130958 is divided by 3706.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*y - 12*y = -4*c + 17872, 71428 = 4*y - 4*c. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5.1 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 AM and 6:01 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 228, 0, -3\/4, 3.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*(-844)\/(-48)*-2. Let i(t) = -12*t - 1. Let m be i(-6). Let p = n + m. Is p greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 555.019 - 555. Let c = x + 2.881. What is the fourth smallest value in 3, c, -2, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z - 39. Let d(l) = -111*l**2 + 112*l**2 + 2*l - l - l. Calculate u(d(w)).\nAnswer: 2*w**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4741906?\nAnswer: 2, 13, 19, 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4826363501 to the nearest integer?\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 3*x = 10. Calculate the smallest common multiple of (4\/3)\/(x\/(-6)) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 668316.\nAnswer: 2, 3, 11, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*a**3 - 12*a**3 + 3*a**3 - 8*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 261769139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 52935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 40 - 38. Suppose i + l*i - 27 = 0. What is the remainder when 1*626\/12 - i\/54 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 65 = 833. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 3340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:56 AM and 9:37 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-40521)\/26)\/(3\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/17 and (-4115)\/2550 - (-16)\/20?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*s = -30*s + 69072496. Suppose -2*v + s = -105938. Round v to the nearest 100000.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**5 + 0*a**3 + a**3 - 23*a**3 + 3*a**4 + (11*a**4 - 9*a**5 - 11*a**4)*(5 + 1 - 4)*(1 - 6 + 2).\nAnswer: 55*a**5 + 3*a**4 - 22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o + 28. What is z(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*x**3 - 2*x**3 - 2*x**3 + (-4*x + 2*x - x)*(14*x**2 + 2*x**2 - 51*x - 15*x**2).\nAnswer: -x**3 + 153*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1187204 - -2.0744952.\nAnswer: -1187201.9255048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-5)\/t*t**9)**(3\/17))**(-2) assuming t is positive.\nAnswer: t**(-18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 + 1011?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -210553 + 210553 - 14*t**2.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 151*b + 3.\nAnswer: 151*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 + 3*1\/(-3). What is the second derivative of d*h + 10*h**3 - 19*h**3 + 10*h**3 wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 256410 and 64713?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 95 = -5*m, -3*m + 57 = -3*d - 2*d. Suppose -4*y - 12 = 4*v, -7*v - 11 = 5*y - 3*v. Let u = y + m. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*c**2 + 1971 + 0*c**2 - 1964 as g*c**2 + v + b*c and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 - 3*u**2 - 2*u + 11. Let l be p(3). Let n be ((-136)\/l)\/((-28)\/70). Suppose 69*r - 1 = n*r. Calculate the highest common divisor of 2 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 434411274.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 AM and 4:08 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 17*j**2 + 9738*j - 90816. What is q(-582)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -3, -1\/7, -3\/4, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o = 17*o - 20. Find the second derivative of 60*a + 2*a**4 + 7*a**5 - 37*a**5 - 4*a**5 + 0*a**o wrt a.\nAnswer: -680*a**3 + 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 20 = 5*q, -h - 2*q - 35 = -6*h. Let v be ((-1)\/2)\/(17\/(-68)). Calculate the lowest common multiple of h and 20\/v + (-3 - -3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -894*w + 899*w = s + 6, 3*w - 14 = -2*s. Solve -13\/4*k**3 - 1\/2 + 5\/4*k**4 + 9\/4*k**w + 1\/4*k = 0 for k.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -12504, -0.4, 120, 3, 4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -37366515 (base 8) to base 6.\nAnswer: -452515101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p + 2 - 10. Suppose 4*z = -4*x + 8, -5*x + 0*z + 12 = 3*z. Solve -f = p*v + 7, -v - x*f + 1 = -3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9960 is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, 23, -54 in descending order.\nAnswer: 23, 0, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 != -2\/551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and 131243.\nAnswer: 39372.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31 - -31. Suppose r = 2*n + 20 - 44. Calculate the remainder when n is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 45 - 9. What is the least common multiple of o and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 65 + 45. Let t = z - 47. Do t and 22\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/1 - 0\/2. Suppose 184*f - 521*f + 674 = 0. Factor 0*h**2 + w*h**3 + 0*h**2 - 9*h**4 - 3*h**f + 12*h**4 - 6*h.\nAnswer: 3*h*(h - 1)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - 6*-1) + -1. What are the prime factors of (1\/(r\/60))\/1?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a**1*a)\/a*a*a*a**(1\/2)*a\/a**(2\/13)*a**(-5))**(26\/7))**(7\/2) assuming a is positive.\nAnswer: a**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/4697 and 99\/10?\nAnswer: 46970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or -293\/142?\nAnswer: -293\/142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1182)\/(-8471))\/(42\/(-172))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37.3 - 39. Let r = y + 1.5. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1e85c74b - -2?\nAnswer: -1e85c749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 39686 + -234?\nAnswer: 39452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2849505858 to the power of 1\/4, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 68382792 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are -1491.704 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2*l**2 - 7*l + 5. Let v be j(4). Let h be v\/18 - (-7)\/2. Suppose h*n + 0*n - 22 = -d, -4*n = -3*d + 98. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15.49 - 17.49. Let o = -2\/189 + 404\/2457. Which is the closest to -1?  (a) 17  (b) z  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32015 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37658 = -137*u + 84135. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 35*z**3 - 152*z + 283397 with respect to z.\nAnswer: 105*z**2 - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -99106 (base 15) in base 8?\nAnswer: -1665527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -5, 2758, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = x - 2*k - 11, -4*x - k = -8. Suppose -5*c - x*t - 80 = 0, -t + 10 = -2*c - 11. Which is bigger: -11 or c?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25653 and 13581.\nAnswer: 230877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g + 4*g - 3*g)*(2 - 3 + 3)*(3 - 4 - 8)*(13*g - 22 + 22) in the form q + z*g**2 + r*g and give z.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b. Let v(i) = -5*i. Let n = 409 + -415. Calculate n*v(m) - 11*k(m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 630, 83, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 237 - 237 + 566*j**3 - 569*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 138 - 978. Suppose -5*f + x = -5*d, -75 = -f - 0*d + 4*d. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 3*j + 12. Suppose -2*x = -5*k + j, k + 3 = -x - 7. Find the common denominator of -37\/24 and -16*x\/(-70)*(-70)\/(-60).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 57586459 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13117434?\nAnswer: 2, 3, 11, 233, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.75 + -4.74999442. Round y to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 179692441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + j**2 + 1 + (-17 - 15 - 4)*(2 - 2 + 2*j**2).\nAnswer: -71*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-57)\/(-2)*20\/(-30). Let b = x - -9. Let c = b - -10. Put -1, -0.5, c in decreasing order.\nAnswer: c, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -393*k**3 + 530*k**3 + 957*k**3 + 697*k**3 + 3476*k**2 + 2111*k**3 wrt k.\nAnswer: 23412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -38663\/15 - -2576. Find the common denominator of -91\/15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 8, v: 3, b: 3, h: 1, x: 5}. Give prob of picking 1 h, 1 v, and 2 l.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 12, 2, -1 in increasing order.\nAnswer: -1, 2, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 107*v - y - 29 = 104*v, 5*v - 2*y - 49 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**4\/(r\/r**(-2\/3))*(r**(-1\/3)*r)\/(r*(r\/r**(-2\/15))\/r) assuming r is positive.\nAnswer: r**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t + 0 + 0 + 0*t - t + 2*t + (0*t + 4*t - 3*t)*(2 - 2 - 1) + t - 4*t + 2*t - t - t + t + (56 + 34 + 9)*(-3*t + 4*t + 0*t).\nAnswer: 95*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5014665*g**4 - 288500*g**2 - 15*g?\nAnswer: 120351960*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4203822 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + -2. Let d be (88\/(-5))\/(w\/20). Let t = d + 1277\/7. Find the common denominator of -13\/2 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 h when three letters picked without replacement from hyhyh?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -6563692.29 to the nearest one thousand.\nAnswer: -6564000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 196270 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5.7 + 6. Let n be 0 + (3\/4)\/(-3). Put d, -5, n in increasing order.\nAnswer: -5, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -65 + 80 - 85 - -9?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 708459\/124 or 5713?\nAnswer: 5713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of r**3\/3 - r**2 - 16*r. Let n be s(1). Is -12\/11 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 PM and 8:30 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-11) - ((-8878)\/(-66) - 4). Let i = 132 + d. Let x be ((-9)\/(-12))\/(5\/(-2)). What is the nearest to x in -1, i, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(0 + (sqrt(117) - (1 + sqrt(117))) + -3))**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -737866+4\nAnswer: -737862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -2*k**3 - 418*k**2\/15 + 1076*k\/15 + 448\/5 = 0.\nAnswer: -16, -14\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -108 + 202. Let r = o - 46. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -287*c**3 - 3*c**2 - 3*c. Let v(q) = -2*q**3 + q**2 + q. Determine -2*p(k) - 6*v(k).\nAnswer: 586*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -317 - -198. Let v = -119.151 - h. What is v rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2843030 to the power of 1\/2, to the nearest integer?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 5*i - 5*n, 4*i - 6*n + 12 = -n. Suppose -i*c - 7 + 11 = 0. Suppose -4*r + 5*j + 10 = 0, -j + c = 4. Is -1 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3435 times 6\nAnswer: -20610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*j**2 + 0 - 3\/2*j.\nAnswer: -j*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + -1. Let z = 8 - 6. Does 3 divide 2*z - a\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*l - l + l)*(276211 - 131303 - 139153) as n*l + a and give n.\nAnswer: -17265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -535 + 553 = a - 4*b, -20 = -4*a + 3*b. What is the fourth biggest value in 4, 3, a, -0.4, 264?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 189533900*s**3 - 16923591*s wrt s?\nAnswer: 1137203400*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-5))\/((-36)\/(-420)*(-32 + 17)).\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + 8. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from jxjxajgbjgxgixb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -302400 (base 5) in base 12?\nAnswer: -5765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -3935731.\nAnswer: -11807193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10827847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 + -19. Let t(k) = 7*k**2. Let i be t(x). Let m = i - 9. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, t: 3, y: 5}. What is prob of sequence yyt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/5*k**2 + 158404\/5 + 796\/5*k.\nAnswer: (k + 398)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 AM and 8:08 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*y + 31*y = -72. Which is the closest to -0.04?  (a) y  (b) 2\/5  (c) 0.5  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110011011010101 + 1011010?\nAnswer: 110011100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*y - 239*y + 1376 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vrevarevhvhveavvevhh. What is prob of picking 1 a and 2 r?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -110 + 78 + 9*p**3 + 25*p**3 + 4*p**2 + 8*p + 30 in the form q*p**3 + m*p**2 + w*p + o and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7152\/11 + 648. Is g bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d**3\/3 + 116*d**2\/3 - 260*d - 300 = 0 for d.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.313018 times 4?\nAnswer: 5.252072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -468618.2 less than -12?\nAnswer: 468606.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 29 = -10*g + 5*g, 4*c + 3*g - 116 = 0. Let t(x) = -7*x - 12. What is the remainder when c is divided by t(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/6  (b) -2\/23  (c) 0.0821\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13761 is divided by 6837?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of -2*b**5\/5 - 1499*b**4\/4 - 20*b**3 + 5*b**2 - 2*b - 1246. Find the third derivative of w(m) wrt m.\nAnswer: -48*m - 8994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*u - 2*k - 27, 24 = u + 4*k. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -242 = -27*b - 53. Suppose 2*s - 155 = b. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5)\/(-10)*(-4)\/10. Let k = -0.4 + 0.4. Put -5\/3, k, g in ascending order.\nAnswer: -5\/3, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 870.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1227760291 to the power of 1\/2, to the nearest integer?\nAnswer: 35039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45818 is divided by 45764?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5824364247 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 10*s + 6*s + 18 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73960?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -6 - 2*l - l + 2*l + 13. Suppose -1 = 2*k - 3*r, k = -k - 5*r - 41. Is 9 a factor of p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -53 + 115. Suppose -5*x + o = -98. Suppose -d + 1 + 10 = 0. What is the remainder when x is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 32191*w + 32194*w + 0.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.519 less than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -4*v + 6. Let t(u) = 11*u - 17. Let l(p) = 17*b(p) + 6*t(p). Let z(c) = 3*c. Suppose 25 = 5*x + 5*o, 2*x + 0*x + 4*o = 10. What is x*l(d) + 3*z(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*q + 15 = 14*q + 2*d, 4*d + 95 = 3*q. Suppose 0*a - 19925 = -q*a. Does 61 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + w - 10 = 27, 0 = 3*h + 2*w - 106. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 + 183*x + 1936. What is h(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -8*o**3 - o**2 + 5*o + 5. Let i(y) = -9*y**3 - y**2 + 5*y + 6. What is 4*i(v) - 5*l(v)?\nAnswer: 4*v**3 + v**2 - 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 29.89 + -30. Let h = j - 0.29. Which is the biggest value?  (a) -0.5  (b) -2\/9  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*v = 50*v - 6. What is the hundreds digit of ((-6)\/(-5))\/(1\/(-730)*v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-35)\/(-10) - 2\/(-4). Suppose 0 = -2*f + 6*l - 2*l - 10, -4*f = -y*l + 24. Let x(i) = -i**3 - 7*i**2 - 11*i - 8. Does 20 divide x(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4797 - -167953\/35. Find the common denominator of -28\/55 and b.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of 2*w**4\/3 - 7*w**2\/2 - 8*w. What is the first derivative of i(y) wrt y?\nAnswer: 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o = 6*o + 6*h - 82, 7*h - 68 = 3*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -168352 divided by 42088.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1789 by 1789.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-37*t - 200*t + 68*t)*(-t - 5 + 5)*(-12*t - 8*t + 7*t).\nAnswer: -2197*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a**4 + 7690*a**3 + 422635*a**2 + 814550*a = 0.\nAnswer: -1481, -55, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1c17 - 42?\nAnswer: -1c59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8462554 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:27 PM and 8:32 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1981 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 124995880?\nAnswer: 2, 5, 41, 199, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m, 1 i, and 1 b when four letters picked without replacement from {b: 4, i: 3, s: 2, m: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (13 - (1 - (0 + -1))) + -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 + -26. Let l(v) = -15*v**2 - v. Give l(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 + 4 - 6*r**2 - 14 + 5 to n*r + f*r**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 58839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 27148 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 249041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 30028.436 rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -2*o**4\/5 - 14*o**3\/5 + 754*o**2\/5 - 1458*o\/5 + 144 = 0.\nAnswer: -24, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16602772*t**3 - 16602734*t**3 + 33205505*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 3*g = -h + 10, h - 5*g = -16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times 5652?\nAnswer: -1695.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/4*14\/21*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a second in milliseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 60 and 828.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1689, -3129, -4571, -6015, -7461?\n\"Answer: -r**2 - 1437*r - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + 20, -3*w = n + w + 17. Let c(t) = -4*t**2 - 5. Let y(u) = 2*u**2 + 3. Let x(k) = n*c(k) + 5*y(k). Let x(b) = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + (7 - 10) + 3 + 1 + -3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -36\/13 in 0.6, 1, 5\/4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 + -4. Let j = 28 + -25. Suppose m*o + 19 = 5*z - j*z, z - 11 = 3*o. Calculate the remainder when z is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 5 + 6*x - 16 - 75*x + 7*x. Let q(v) = -3*v**2. What is q(p(g))?\nAnswer: -11532*g**2 - 4092*g - 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -28*z + 31*z - 216. What is the highest common divisor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 0*l + 8 = 0. Let f(g) = g**2 - 3*g + 5. Let t be f(l). Let n = t - 40. Solve -2*k + n*q = 16, -4*k - q - 10 = -0*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 113 (base 5) to base 8.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -7951, -15902, -23853?\n\"Answer: -7951*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 = -a + 13*a. Suppose 391 = a*z + 83. Calculate the highest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -5709*w - 108. Let l(u) = -28544*u - 593. Calculate -2*l(r) + 11*n(r).\nAnswer: -5711*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1871?\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1136 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/12)\/(19\/114). Let x(t) = t**3 - 3*t**2 - t + 4. Let j be x(3). Put 5, j, m in decreasing order.\nAnswer: 5, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from spapwappnspsjssn. Give prob of picking 1 w and 2 p.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 - 14. What is the smallest value in 1, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of o + 42. Let b(z) = -6*z**2 + 16*z - 6. Let n(j) = b(j) + 12*k(j). Factor n(a).\nAnswer: -2*(a - 3)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -2 + v**2 + 0 + 1 - v. Let s(q) = 0 + 0 - 89*q + 88*q + 2. What is s(l) + x(l)?\nAnswer: l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of -324*k**5 + 915*k**2\/2 - 1160. What is the second derivative of j(x) wrt x?\nAnswer: -19440*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34, -228, -550, -1000?\nAnswer: -1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = 5*g + 7, 2*g = 128*p - 126*p + 14 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 33111 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (29 + 0 + -32 + 3 + 20).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*26.2.\nAnswer: -13.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1496 + -1627 - (-1 - 24) - -19\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003090821 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 393*i - 101*i - 89*i - 105*i - 97*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 573 - -1979?\nAnswer: 2552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-65)\/(-2)*16\/(-20). Is 22 a factor of -3 - 1*(j - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3044500, -6089000, -9133500, -12178000, -15222500?\n\"Answer: -3044500*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 126*b**2 - 5*b - 5. Is h(-3) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 + 41*j + 397. What is n(-14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 52 - 28. 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 n(r) = -4 - 2*r - 2 - 1. Let h be n(-6). Solve 0*w - w + 15 = h*s, 3*w + 7 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -28 and 335.\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 8:55 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**2 + 2*i**2 - 2*i**3)*(-2701*i - 289 + 1188*i - 2054*i + 289).\nAnswer: 7134*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -101 < -104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -9. Suppose 2*b - h = 142. Let z(m) = 2*m**3 + 18*m**2 + 14*m + 20. Let c be z(-8). What is the highest common factor of c and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**18)**11*(l\/(l**(7\/6)*l))\/l**(8\/3))**6 assuming l is positive.\nAnswer: l**1165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.758511 to 3 dps.\nAnswer: -11.759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2*(2 + 4)*(0 - (-1)\/(-6)). Solve h - 2*p + 14 = 0, 89*p - 7 = -d*h + 86*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -104*t + 1409 + 1407 + 1401 - 4216 + 103*t. Suppose 0 = -5*c + 4*s + 8 + 3, 5*c = 2*s + 3. Let m(g) = -4*g**3 - g. Give c*y(k) + m(k).\nAnswer: -4*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19.75 + -1.35. Let y = l + 3.4. Round y to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**2 + 4*t - 1. Let v be l(-3). Suppose -720 = -4*c - 5*y, 4*y - 274 - 626 = -v*c. Round c to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.1  (b) -4  (c) -5  (d) -2  (e) 195\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 7*i**2 - 6*i - 3. Let g(m) = 6*m**2 - 5*m - 2. Let l(d) = d + 2. Let c be l(4). Give c*g(r) - 5*y(r).\nAnswer: r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, b: 1, o: 3, y: 2, i: 5}. Give prob of picking 1 i and 1 b.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 37 = 3*p, -2*z + 61 = 2*p - 0*p + 39 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 2\/5  (b) -2\/3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, q: 2, k: 2, r: 1, y: 3, v: 3}. Give prob of picking 1 k, 1 q, 1 y, and 1 r.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 4672*b**2 + 17*b + 2. Suppose 4*y - 10*y = 126. Let c be g(y). Suppose -4*a - 2*z + 3*z + c = 0, 1545012 = 3*a + 4*z. Round a to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -6*f - 2. Let u(a) = 363*a - 709*a + 342*a - 1. Determine -5*m(z) + 8*u(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 216 and 3402.\nAnswer: 13608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-8))\/((-117)\/(-936)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -711547.328 to the nearest 100.\nAnswer: -711500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = j - 4. Suppose w = j*w - 18. Suppose w*y - 6 = 4*y. Solve -3*d + 9 = 4*f, -2*f - 3*d = y*f - 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22056 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*k - 792 = 29*k. Solve -8*a - k = 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -48 + 52. What is the nearest to -7 in 2\/9, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -8*h + 3. Let g(u) = -4*u**2 - 4*u - 2. Let q be g(-2). Let d be f(q). What is d rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g**(-20))**(-49)*g**(-19)\/g**4 assuming g is positive.\nAnswer: g**859","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1303 + -945. What is the remainder when n is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/(-30))\/(2\/(-5)). Which is the third biggest value?  (a) -5  (b) -0.073  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 3564*x**5 + 3859820*x**4 + 1039238988*x**3 - 3150192780*x**2 - 7076376*x = 0.\nAnswer: -543, -2\/891, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 52a7 + a43?\nAnswer: 623a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1760 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: How many centimeters are there in seventeen halves of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of i**2*m**3 - 5*i**2*m**2*s + 319*i*m**3 + 9*m**3*s wrt s?\nAnswer: -5*i**2*m**2 + 9*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 241.\nAnswer: 4\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -286 = -212*q - 1770 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -359, -357, -355, -353, -351, -349?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.296426907 rounded to 1 decimal place?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.15761 and 0.5.\nAnswer: -0.65761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.66 and -26256.7?\nAnswer: 26257.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.5 - -0.9. Let i = 0.6 + h. Let s = 0.3 - 0. Which is the closest to -0.2?  (a) i  (b) -2\/11  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 34*a**3 + 8*a**2 - 102*a + 358. List the prime factors of c(4).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**2 + 208*a + 588.\nAnswer: 4*(a + 3)*(a + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2628056 + -37?\nAnswer: -2628091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 0.3, 3\/2, -1\/3967 in descending order.\nAnswer: 3\/2, 0.3, -1\/3967, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 18 = 380*q - 381*q, 0 = -2*d + 5*q - 22 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 845754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate a**2 - 47420*a*m + 39*m + 759 with respect to a.\nAnswer: 2*a - 47420*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**2 - 685516112*h - 685516108.\nAnswer: -4*(h + 1)*(h + 171379027)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 - 6*z**2 + 8*z + 9. Let d be x(-7). Solve 1 = d*i - 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 550 is divided by 321.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -2*s - 4. Solve w = s - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (69 + 90 - 203)*(-3*y**2 + 4*y**2 + y**2) in the form l*y + f*y**2 + h and give f.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f - 14. Let n be g(-13). Let s(x) = -449*x. Is s(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 11818 and -663019.\nAnswer: -651201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -3\/2705?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*w**2 + 56255*w - 1010970 = 0. Calculate w.\nAnswer: 18, 11233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q + 38. Let a be i(-23). Round a to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*z**3 + 15*z**2 + 1 - 7*z**2 + 10*z**3 in the form h*z**3 + u*z + x + p*z**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - ((3 - -4) + (1 + 44 - (-2 - 0))).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 10*p**2 - 7*p - 19. Let n be q(9). Let u be (6\/(-10))\/((-6 - n)\/25). Suppose 5*j - 12 = 3. Do u and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5\/(-4) - 617\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1))**39*h**(-2\/5)*h**(-4) assuming h is positive.\nAnswer: h**(-217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**4\/3 + 19*q**3\/3 - 301*q**2\/3 - 319*q\/3.\nAnswer: q*(q - 11)*(q + 1)*(q + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 296 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 4*j**2 - 67*j - 1. Let h be m(17). Suppose 0 = 2*i - 4*i + 18. Let x = h - i. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 - 6*w**2 - 6*w. Let x be q(7). Solve 5*a - x = -3*j + 2, 3*j = a + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-54)\/(-4))\/((-67266)\/(-14948)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 - 5*j**2 + 67*j - 9. Let u be i(6). Let m be -6 + 5 + 6\/(-1 - u). Suppose 0*q = -4*q + 2*p + 20, -q + p + 5 = 0. Solve -q*l + 3 = -m*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from nygghxggvvvv.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-891)\/(-66) + -14 - (-494)\/4. Solve 4*p + 2*y = -2, i*p + 4*y = 120*p - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11455 and 2918705.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -244*z + 2394 - 10878 - 6644 for z.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189323.\nAnswer: 83, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.93 + -6.93. Which is the closest to w?  (a) 1  (b) 4\/9  (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 1636\nAnswer: -1\/1636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 28155*c**5 + 1946*c**3 - 2*c**2 + 869497*c - 2 wrt c.\nAnswer: 1689300*c**2 + 11676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -8220, -16763, -25306, -33849, -42392?\n\"Answer: -8543*g + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 3*l + 900 = 3*b, 3*b - 680 = -l. What is the greatest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 734484 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -449420*q**2 - 898848*q - 16 = 0.\nAnswer: -2, -2\/112355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 8*g + 5*z = -7, -z = -4*g + 47. Solve 0*k - g = 6*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 10 - 277 = 0. Let h(o) = 11*o. Calculate the remainder when z is divided by h(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -509, 1\/5, -1\/17, -1\/4?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2, 2\/5, -11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + -11. Let n be v\/10 + (-2)\/(-5). Let g(p) = -p**2 - 16*p - 25. Let r be g(-14). Solve -3*s = -n*s - r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**2 - 2073*o + 3008119. Give v(984).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {p: 7, i: 2, z: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 27 by -27.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*g**2 + 11281*g - 11281*g + 2 to q + b*g + u*g**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -236*c - 19 + 462*c + 4*c**2 - 206*c. Is h(-12) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of -v**3\/3 - 10*v**2 - 3389*v. Let l(m) = -m - 10. Give -3*f(u) + 7*l(u).\nAnswer: -u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 7182 = -23*i. Suppose -4*x + 2*m - 24 = -i, -162 = -3*x - 5*m. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -0*b + 2. Let l be (204\/152)\/(1\/b). Let u = l - 471\/133. Is -0.1 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1117 + 287 = -40*z - 756 for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 4 - (-16 + 17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 278 divided by 2?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 5, t: 4, z: 2, c: 7, n: 2}. What is prob of picking 1 n and 1 c?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 4*q. Let x = -1 + 5. Suppose 2*d - 2*c + 8 = q, -8 = d + d - x*c. What is the nearest to 0.2 in 0.5, 1\/6, d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/2 - 3)*-2. Suppose -2*x + 18 = -2*q, -3*x + 5*x + 2*q - 2 = 0. Solve x*h = -3*k - 14, 0*k - 17 = y*h + 4*k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 3. Let i(m) = m**2 - 4*m - 4. Let l be i(3). Let t be 1 - l - (-6)\/(-3). What is the highest common factor of r and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 4*k - 3. Let l be q(2). Solve 0*a - l*a = 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 122780805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 725679 and 266166.\nAnswer: 2511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 38884 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -0.859.\nAnswer: 4.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 8:39 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6435114123?\nAnswer: 3, 19, 29, 41, 94951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 2 = 4*q. Suppose 4*r + f + 50 = -0*f, -r - q*f - 9 = 0. Let a = 16 + r. Solve 0 = -3*y + a - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the first derivative of 9*y**5\/2 + 93*y**4\/8 - 65*y**3\/3 - y**2 + 12*y + 197. Suppose f(m) = 0. What is m?\nAnswer: -3, -2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h + 2*h - 6*h)*(h - h - 2*h)*(3*h - 21 + 21).\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -77649029, -155298057, -232947085, -310596113, -388245141, -465894169?\nAnswer: -543543197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 2)*(1781*m**2 + 2015*m**2 + 9639*m**2).\nAnswer: -13435*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2. Let n(p) = -27530*p. Give n(w(r)).\nAnswer: 27530*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 17332*m**2*o*z**3 + 12*m*o*z + 5*o*z**3 - 3*o*z**2 - 6*o - 1408*z**3 wrt m.\nAnswer: 34664*m*o*z**3 + 12*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 4213 = 3*a, -2*a + 1835 = p - 973. Let o = a - 981. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2584540977.\nAnswer: 3, 6983, 123373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -335172989795 + 710\nAnswer: -335172989085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 + 2*j**3 + (-j - 3 + 3)*(j**2 + 2*j**2 - j**2)*(3 - 4 - 1).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 9668.9727 rounded to the nearest 10?\nAnswer: 9670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-5))\/(157\/(-2355))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4.2102 millilitres?\nAnswer: 0.0042102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63 and 1519287.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from eeggeggeggggkggge.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -786 + 389 + 397 + 50*c - 14*c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 4:11 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 21545 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*d = 114*d - 66*d + 2200 for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 183*p = 146*p - 259. Let z(s) = -s**3 - 8*s**2 - 7*s + 14. What is z(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -194*b - 193*b - 193*b + 579*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 52 - 47. Suppose 680 = c*s - 40. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -2\/85, -0.3, 0.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5776552?\nAnswer: 2, 722069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 - 15. Let q be j - 1 - (-23 - -18). Let v(o) = -o**2 + 4*o + 1. Let s be v(q). Calculate the greatest common divisor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001289 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 407 from -241.85.\nAnswer: -648.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 46*j - 1 - 1.\nAnswer: -46*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17572562.\nAnswer: 2, 7, 1255183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -883032 <= -883031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -99*n - 71*n - 64*n to l*n + r and give l.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + f**2 + 2)*(0*f + 4*f - 5*f)*(691 - 405 - 286 - 13912*f).\nAnswer: 13912*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of -7*d**2\/2 + 12*d + 9. Let s(x) = -15*x + 23. Let m(p) = -2*s(p) + 5*u(p). Differentiate m(f) with respect to f.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 285, 486, 761, 1104, 1509, 1970, 2481, 3036?\n\"Answer: -c**3 + 43*c**2 + 79*c + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v + 4. Let i(q) = q - 2. Let t be i(7). Suppose -z + 12 = -t*z. Give k(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -110*m**3 - 64*m**2 + 149*m - 160. Let t be z(-64). Round t to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54 + -32 + -24 - ((0 - -9) + -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of -r**5\/20 + 5*r**4\/6 - 5*r**3\/3 + 9*r**2\/2 - 24*r. What is the tens digit of c(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -38878, -38887, -38902, -38923?\n\"Answer: -3*k**2 - 38875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -141492.\nAnswer: 1\/47164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - -1) + -4 + 10 + (-1058)\/115. Suppose 4*f + 128 = 4*u, -3*u - f = -51 - 33. Which is the nearest to 2?  (a) t  (b) u  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 - -37. Let o = d + -22. What is the smallest value in 5, o, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 45 - 24. Let r be 2*1 + (p - -6). Suppose -2*m = 2*l - 6*l + 20, -5*m - r = -3*l. Solve -x - l = -0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40*(-3)\/(-12)*(-6)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by -16463039.\nAnswer: 7\/16463039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73 = -4*y + 139. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, z: 3, n: 2, e: 1}. Give prob of sequence ne.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42185002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*d**4 - 2*d**2 - 7*d**2 + 7*d**4 wrt d.\nAnswer: 312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r, 1 q, and 1 e when four letters picked without replacement from {q: 1, r: 3, e: 1}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 16 - 20 = 0. Suppose -38 = -y + 3*k - 2, 5*y - k = 222. Calculate the highest common divisor of s and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f - 15 = -39 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence snns when four letters picked without replacement from {s: 10, n: 4}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n + 7. Let y be i(5). Let x be ((-7)\/y)\/((-5)\/(-10)). Is x greater than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iw when two letters picked without replacement from wllllillillilliw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 + 12*n**2 + 11*n + 1. Let v be h(-11). Let t = -2\/203 - -412\/609. Which is the nearest to t?  (a) 1\/4  (b) v  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/50 and 53\/155?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -111  (b) -4  (c) 65\/3  (d) -2  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - 7*d**2 + 5*d + 7. Let g = 10 + -4. Let p be z(g). Suppose 0 = -q + 3 - p. Round q to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 + 157*b - 5745. Let t be c(99). Sort -2\/25, -0.2, t.\nAnswer: t, -0.2, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -337 divided by -337?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fourty-eight fifths of a kilogram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 64*r**2 - r + 1. Suppose -2*o - 4 = -6. What is the remainder when m(o) is divided by 6*(-12)\/8 - -36?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -0.21, -17\/8885?\nAnswer: -17\/8885","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 11778*o + 31. Let i be f(-5). Let j = i - -26859. Round j to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - 119?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 537 - -584. Let v = 1125 - j. Let -2\/5*g**v + 2*g**2 + 0*g**3 - 8\/5 + 0*g = 0. Calculate g.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -24, 0.1, 103, -0.4, 5\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**3 + 20*q**2 + 56*q + 48.\nAnswer: 2*(q + 2)**2*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11869*t - 12118*t + 2 + 24721*t.\nAnswer: 734*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in c + c - 31*c**2 - 2*c - 50 + 52.\nAnswer: -31*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 60 - 75 = 4*z, z = -5*u - 30. Solve 0 = 4*k + 5*c - 1, -z*k - c - 102 = -119 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-5*(-2*sqrt(931) + sqrt(95)\/sqrt(5) + 2))**2*5.\nAnswer: -162500*sqrt(19) + 10046875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 5, 42104, 0 in descending order.\nAnswer: 42104, 6, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 45206167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.11 - 2.11. What is the nearest to -2\/15 in 1\/6, 5, n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 4*z**2 + z. Let o = -2 - -1. Let y be u(o). Suppose -5*k = y*f - 6, 3*k - 2*f = 3*f + 24. Solve 10 = 5*g - k*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/2 + 1\/4*-14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -8*3\/126*(1848\/22)\/28\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2395*p - 1294*p - 1189*p + 352 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 743768232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the third derivative of j**6\/30 - j**5\/3 - 5*j**4\/6 + 10*j**3\/3 + 348*j**2. Let f(u) = -u**2 - u + 1. Give 2*a(w) - 40*f(w).\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bxbb when four letters picked without replacement from {b: 6, h: 4, x: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 7*m - 60. Let u be (-2)\/8 + 84\/16. Suppose -m*l - 770 = 4*i, -4*l - 388 = u*i - 3*i. What is i rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 - -12. Let m = -17.92 + 17.62. What is the smallest value in i, -4, m, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -175  (b) 0.2  (c) 536.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.13 + -0.13. Let t = 1.2 - 1. Let o = b - t. Is o at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*t - 121 = -21. Calculate the remainder when (-12 - -11)*212\/(-2) - t is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 14 = -2*f. Suppose -f - 18 = -4*c. Suppose -i + 5*v = -31, c*v - 213 = -5*i + 4*v. Calculate the remainder when i is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18095?\nAnswer: 5, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3 + 1424826*j**2 - 169178852340*j + 338352005400.\nAnswer: -3*(j - 237470)**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.26172 weeks in hours?\nAnswer: 2563.96896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6 and -0.411788.\nAnswer: -2.470728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 233 + -3493\/15. Which is greater: x or 2\/45?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -228*f**3 + 4*f - 646 wrt f?\nAnswer: -684*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 19139 divided by 61613?\nAnswer: 19139\/61613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -162051, -324093, -486137, -648183, -810231?\n\"Answer: -c**2 - 162039*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*a**5 - 2183*a**4 + 29676*a**3 - 72784*a**2 + 5440*a + 78000 = 0 for a.\nAnswer: -325, -6\/7, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1177 by 6.\nAnswer: 1177\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*(1 + 2\/6). Let d be 0 + (-6)\/(-15) + 12\/(-30). Suppose -w = -f - d*f. Solve -f = 3*b - 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 59.61 - 9.61. What is the nearest to 2 in -2, 3\/2, x?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 - 14*p - 4. What is o(14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/164 and 39\/18983.\nAnswer: 75932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -7*c + 12*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 2*f + 86 = -30 + 164, 15*f + 35 = -5*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 195773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-55) + 7\/35. Let j(l) = -4*l**2 - 8*l - 26. Let z be j(-4). Let q = z - -61. What is the second biggest value in 1, h, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -2\/1649372103 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 37.35 + -75.35. Is 2\/49 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -7, -62.\nAnswer: -62, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/2 - 0)*0. Suppose -5*w = -3*z - 2*w, s = 3*z + 4*w - 28. Factor -z*c**3 + 3*c**4 + 25*c**2 - 2*c**4 + 5*c**3 - 31*c**2.\nAnswer: c**2*(c - 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -212 - -211. Let x = -0.04 - -0.04. Let i be (3\/48)\/(1\/(-2)). What is the biggest value in i, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 PM and 11:49 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2334, -8039, -17556, -30891, -48050?\nAnswer: -69039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8338474 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -195 + 398. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 - h. Let m(y) = y**3 + 2*y**2 - y - 1. Let j be m(-1). Let v be w(j). Suppose 5*g = -v + 40. Solve 3*k = p + 4, -3*p - 3*k = -p + g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 - -15. Let m(l) = -3*l + 8. Let p(o) = 2*o - 7. Let v(a) = w*p(a) + 5*m(a). What is v(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16a3db (base 14) in base 16?\nAnswer: c277d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:10 PM and 5:16 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -50 - 442764?\nAnswer: -443034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 AM and 11:23 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4*-21*(-400)\/140 is divided by 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4*-1)\/((21\/3)\/7). Let j be (v\/1 - -6) + (-34)\/18. Are -2 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 35 + (-1)\/3*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (7 - -1 - 11) + (-30)\/(-9). Which is the third smallest value?  (a) -2\/7  (b) 0.18  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 3 + 3*(-2 + sqrt(396)).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddddddffdffdfddd. Give prob of sequence dd.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*l**4 + 3*l**3 + 3*l**4 + 0*l - 8*l**2 - 1 + 9*l**2 - 2*l to the form y*l**2 + v*l + j + i*l**3 + x*l**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 - 9*y**2 - 11*y + 3. Calculate n(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.015151 centimeters to nanometers.\nAnswer: 20151510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1703\/29 at least -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 120 + -94. Calculate the remainder when 47 is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/(0 + 2) - (10 - 94294). Suppose -g = 3*d - 622012, -g = -5*d - 527692 - o. What is g rounded to the nearest ten thousand?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8336548 or 8336479?\nAnswer: 8336479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**2\/3 + 29940*c - 718688\/3 = 0 for c.\nAnswer: -44918, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*z**2 - 316*z**4 + 155*z**4 - 15 - 2*z**3 + 157*z**4 in the form h*z**4 + c*z**3 + o + y*z + s*z**2 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 254*r - 751. Determine z(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170*m - 4561 = 29 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2966*z**2 - 20764*z - 73. Give q(-7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -i**3\/11 + 101*i**2\/11 + 1482*i\/11 = 0.\nAnswer: -13, 0, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 363849 plus -0.1?\nAnswer: 363848.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 4*d**2 - 101*d - 110. What is n(35)?\nAnswer: 1255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.853994l to millilitres.\nAnswer: 7853.994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 44730 and 572544?\nAnswer: 2862720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of 5*g**9\/756 + g**6\/45 - 10*g**3\/3 - 13. Let f(m) be the third derivative of w(m). Find the third derivative of f(t) wrt t.\nAnswer: 1200*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {x: 3, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 PM and 3:12 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - (23 + (-24 - (-10 + 12)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence naa when three letters picked without replacement from {d: 3, a: 4, e: 3, k: 2, n: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 + -9. Let d(b) = -43*b**2 + 2*b. Let i be d(-1). Let n = -31 - i. Solve -p*h + 6 = n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 19, 20, 31, 58, 107, 184?\n\"Answer: a**3 - a**2 - 3*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40864*g**3 - 40885*g**3 + 81748*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (8\/(-4))\/((-4)\/24)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-68*q + 25*q + 40*q - 76)*(-8*q - 1 + 10*q - 2) as x + u*q**2 + i*q and give i.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2\/169 - -155\/1183. Let l be 12\/15 - 4*3\/60. Sort l, a, -2 in descending order.\nAnswer: l, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 9:31 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 349 + 2?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 51 - 70. Let t = -17 - k. Factor -1\/8*q**3 + 0*q - 3\/8*q**t + 1\/2.\nAnswer: -(q - 1)*(q + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*x + 11*t = -3*x + 3, -56 = -4*x - 3*t - 55 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 10) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*i**2 + 4924248*i + 19697040 = 0. What is i?\nAnswer: -4, 1641420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**3*s)\/((s**(1\/25)*s)\/s) assuming s is positive.\nAnswer: s**(99\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -63, 1, -3, 2\/7 in decreasing order.\nAnswer: 1, 2\/7, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 - 19*b - 11. Calculate the lowest common multiple of 1 and l(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4686338597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5485 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 3\/8, -1376, 4, 2, -5, -63 in increasing order.\nAnswer: -1376, -63, -5, 0.2, 3\/8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 268957226 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of -55*s**9\/72 - 13*s**5\/20 - 7*s**4\/24 - 87*s**2 + s. Find the third derivative of w(u) wrt u.\nAnswer: -46200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -103. Let j = h - 97. Which is the third smallest value?  (a) -0.1  (b) 0  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -338\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-105)\/(-210))\/((-2)\/(-218)) - (-4 - 70\/(-20))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**4 + 2*z**3 - z**2 + 2*z - 1. Let w(f) = 8*f**4 - 8*f**3 + 4*f**2 - 46*f + 361. Let x(a) = 4*q(a) + w(a). Find the first derivative of x(h) wrt h.\nAnswer: 16*h**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/5 + 54612*n**2\/5 + 29487504*n\/5 + 3960949952\/5.\nAnswer: -(n - 55148)*(n + 268)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 750474 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 0 - (3 + -7 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/10, -3\/4, -13 in descending order.\nAnswer: 1\/10, -3\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the second derivative of 0*y**2 + 0 + 0*y**3 - 6*y - 7\/12*y**4. Let l(r) = -2*r. Calculate l(d(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4617373*b*l**2 - 12818*b*l + 30*l wrt l?\nAnswer: 9234746*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/78 and 41\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3.5 in -78, 0.01, 24?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 771 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 86\/(((-44)\/6)\/(-11)). Calculate the greatest common factor of 43 and s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(2240)*-1*-2)\/(sqrt(1008) + 5*(sqrt(1008) - sqrt(1008)*-1) + sqrt(1008) + -1*sqrt(1008)*1).\nAnswer: 20*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*m - 10*m - 12*m)*(2 - 2 + 1)*(884*m - 440*m - 386*m - 2).\nAnswer: -870*m**2 + 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (5 + -9)\/((-1)\/(33\/12)). Let f be z\/(-22)*4\/10. Suppose 2*y - 4*o - 1 - 1 = 0, 5*y - 10 = 5*o. What is the nearest to 1 in 0.2, y, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/5 + (-38)\/20. Which is the closest to 1?  (a) u  (b) 2\/7  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 60*g**4 - 2 - 64*g**4 + 9*g**5 - 49*g + 5 wrt g?\nAnswer: 180*g**3 - 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -47.0765754 and 2.87.\nAnswer: -44.2065754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -21*g - 1261. Let f(l) = 235*l + 13880. Determine 4*f(x) + 45*q(x).\nAnswer: -5*x - 1225","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 8*h**2 - h + 6. Let z = 27025 - 27023. Let k(d) be the first derivative of -5*d + 1\/2*d**z - 10 - 7\/3*d**3. Give 6*k(i) + 5*s(i).\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -4653*n + 279130. Give w(60).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-535)\/749*(-34)\/(-3825)*15.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 132 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119094 is divided by 617.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 527545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-10)\/6)\/(67\/201). Let g = m + 13\/3. What is the closest to g in -0.2, -5, -0.04?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/(24\/6))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2835 - -2860. Do p and 22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*19.5.\nAnswer: -19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 9760323 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: Let v(a) = -12*a**2 + 4*a + 78. Let n be v(-6). Let i be (-1)\/(-18)*n\/(-84). Factor -l**2 - i*l**4 + 0*l - l**3 + 0.\nAnswer: -l**2*(l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24386109 is divided by 100.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 480 and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(9*(-5)\/(-30)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 2:28 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15*k**4 - 6*k**5 + 3419*k**2 - 9154917*k**6 + 9154908*k**6 + 4*k**5 wrt k?\nAnswer: -1080*k**3 - 120*k**2 - 360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90\/(-160)*165376\/(-3876)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28 + -1. Suppose -2*g = -g - i. Let k(w) = 2*w. What is the remainder when g is divided by k(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 697 = l, -14*l + 10*l + 4*g + 2788 = 0. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/10360 and 10\/25123.\nAnswer: 1004920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13) + 0)*5 - (-1 + (sqrt(13) - (sqrt(13) + 3 + sqrt(13))) + sqrt(13)) - 6*-1*sqrt(1872)*1)**2.\nAnswer: 616*sqrt(13) + 77093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 52.19.\nAnswer: 15.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 143?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - -7. Let l = 31 + r. Let n = -40 + l. Which is the nearest to -0.2?  (a) 0.1  (b) n  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-20)\/(-14) + (-76)\/38. Let h(o) = 3*o**2 - o - 1. Let y be h(-1). Which is the nearest to y?  (a) t  (b) -4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 7*f**2 - 5. Let q be v(3). Let z = -58 + q. Does 4 divide (-2 + -9)\/((-2)\/14 - z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide (-6)\/21 - ((-4724104)\/98)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 78 or 76?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 26623, 26625, 26627, 26629?\n\"Answer: 2*c + 26621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 326 is divided by 85.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 5*sqrt(605)*-2 + 2*sqrt(605) + sqrt(605) + -4)**2.\nAnswer: -154*sqrt(5) + 29646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1455462 (base 7) in base 8?\nAnswer: -604265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hkxk. Give prob of picking 3 k and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14375, -14359, -14343?\nAnswer: -14327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.2+-0.0079\nAnswer: 0.1921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -f + 13. Let s be (-5)\/(-2)*22\/f. Suppose -s*n - 4 = w + 57, -2*w = -3*n + 96. What is w rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -3*k + 8. Let q be u(5). Let p(b) = 5*b**3 + b**2 - 7*b + 7. Let r(y) = -3*y**3 + 4*y - 4. Give q*r(o) - 4*p(o).\nAnswer: o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.7572?  (a) -5  (b) 33  (c) 1  (d) 3\/7  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 4*i + 86. Let n be g(0). Suppose -64 - n = -3*x + 3*a, 2*x - 110 = -3*a. Calculate the highest common factor of 117 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 346*d - 71*d + 508*d + 1096*d to the form z + x*d and give x.\nAnswer: 1879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 + 7*q - 3. Let t be b(6). Let i be (1 + t)*(2 + -1). Suppose -2*x = -3*x + i*h + 7, 0 = 2*x - h - 42. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12869004?\nAnswer: 2, 3, 19, 56443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = 3*q + 48, 6*p + 11*q = 9*p + p - 50 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27)\/(-432)*-24*40\/3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -646, -647, -648, -649, -650?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18 - 4) + 8 + -18 - (5 - -69).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 44 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 38 - 18. What is the highest common divisor of 98 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 6*q + 25. Suppose 4*i = -4*t + 296, -i + 2*i + q*t - 54 = 0. Suppose -j - 4*j + i = 3*y, -3*y - 2*j + 64 = 0. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 25169425*y**3 - 2*y**2 + 672201036*y.\nAnswer: 151016550*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4 + 4\/(-6)*-9. Suppose -w + 43 = -5*q, 2*w = o*q - 3*w + 8. Let d = 44 - q. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of 13*h**3 - 5*h**2\/2 - 5*h + 2002. Let u(f) = -19*f**2 + 3*f + 3. What is -5*u(k) - 3*w(k)?\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 37*r + 2. Let b(y) = -y + 26. Determine a(b(z)).\nAnswer: -37*z + 964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 5:24 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 77  (b) -4  (c) 10\/3  (d) 5  (e) 0.5  (f) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d + 7. Calculate i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 53 - 13 = 0, -3*t = 2*r + 70 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 327223 to the power of 1\/2, to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5*588\/210*12\/14. Suppose 32113192 + 93766808 = -p*a. What is a rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 329 by -47.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of x**4 - 13*x**3 - 107862*x**2 + 193*x + 54645.\nAnswer: 12*x**2 - 78*x - 215724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -35*o + 1. Let c be p(-4). Let u = c - 128. Calculate the remainder when u is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**3 - a**2 + 4*a - 2. Let y(u) = 4*u + 0 - 1 - 3*u. Let w(d) = -d**3 - 4. Let s be w(-2). Determine s*y(q) - v(q).\nAnswer: -2*q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -5*r + 8 + 7, -4*g - 5*r + 12 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -141252 + -40521?\nAnswer: -222213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1d - -38?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = 3*d - 20, -287362*d = 3*a - 287366*d + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.165 times -0.1\nAnswer: -0.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15969512 by 52.\nAnswer: 307106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -1490.9768 to the nearest ten.\nAnswer: -1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 171368713.\nAnswer: 31, 5528023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 55*j - 932 + 1372 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152\/3*b**2 - 16*b + 14\/3*b**4 + 20*b**3 + 0 = 0.\nAnswer: -6, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (12\/1)\/(21 - 19). Let v be ((-400)\/b)\/(-5*(-5)\/244875). What is v rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 194*t - 1593. Calculate u(8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7531*u - 7404 with respect to u.\nAnswer: -7531","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 977412?\nAnswer: 2, 3, 47, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.12 in 0, -1\/13, -5, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 143 + 1011*q**2 - 143 - 896*q**2 + 2021*q**2.\nAnswer: 2136*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 PM and 9:53 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000386414 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 237 a factor of 358579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2098*s - 183*s - 57*s + 95858 = 0 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 0 - (-4 - -3 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12139 + -12123. What is the greatest common divisor of t and 932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-39)\/(-26) - 3\/(-4). Determine v, given that -h*v**2 + 0 + 3\/4*v**3 + 3\/2*v = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 103380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 20*j - 14 = 24*j, 5*t - j = 32. Which is the nearest to -1?  (a) 4  (b) 0  (c) 3  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2564236739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 45333160 (base 7) in base 10?\nAnswer: 3941161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 264712 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 15 - 5. Suppose -v*p + 8*p = 0. Round p to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 58 + -57.95. Suppose -4*v = 5*h - 2, h - 12 = -0*v + 5*v. Let j be (-3)\/9 + v\/12. Is j < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 20*m**2 + 25*m - 11. Is k(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.1 - -8.1. Let u = b - 9. Let t = -3 + u. Put -4, -1\/8, t in decreasing order.\nAnswer: -1\/8, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fifteen quarters of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**2 + t - t)*(0 + 0 - 60*t)*(-9*t + 0*t + 3*t + (-4 + 1 + 4)*(3*t - 2*t + t)).\nAnswer: -480*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 100285 and 868.\nAnswer: 2807980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -k**2 + 257*k + 8*k**2 - 252*k in the form y + p*k**2 + g*k and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -14*t. Let g(b) be the first derivative of -2*b**2 + 29. Determine g(l(r)).\nAnswer: 56*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 40\/7011 and -29\/153634.\nAnswer: 56690946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26177, -52342, -78501, -104654, -130801, -156942?\nAnswer: -183077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -111010011 (base 2) to base 9\nAnswer: -568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 1650, 5, 4, 14 in ascending order.\nAnswer: 4, 5, 14, 1650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 244709714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 - 1. Let a(w) = 8*w**2 + 9. Let z = -11 - -16. Suppose 3 = z*o + 13. Suppose 0 = t + 7 + 11. Give o*a(b) + t*c(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (7\/3)\/(7\/6). Let m(x) = -x**3 - 7*x**2 - 6*x + 3. Let d be m(-6). Is d at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2561232654?\nAnswer: 2, 3, 2777, 51239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -5*b**3 - 54*b**2 + 11*b + 38. What is the remainder when l(-11) is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -102, 0.4, -0.1, 1167 in descending order.\nAnswer: 1167, 0.4, -0.1, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2079 and 8778.\nAnswer: 79002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/(-18) + 0 - (-8432)\/612. Suppose -10*c + 54 = -13*c. Let d be 3*2 + c\/(-18). What is the greatest common divisor of b and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = 3*s + 7, 0 = 4*b - 5*b - s - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iggjtt. What is prob of picking 1 i and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 92 + 2*u - 92 + 10*u to q + l*u and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 899*u - 499849. Give s(556).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (1 + 4 + -8 + 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 - 10*u**2 + u + 14. Let j be d(-10). What are the prime factors of (j + 0)\/(6 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 6. Suppose 16 = -r + 5*i, q = 2*r - 5*i + 4*i + 5. What are the prime factors of r\/(-3) - (-2 - (-1815)\/(-9))?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2 + 3)*(0*l + 6*l + 6*l) - 1 + 0 - 1 - 7*l to the form b*l + o and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.09 + 0.11. Let q = 37\/45 - 2\/9. Which is the nearest to u?  (a) 0.4  (b) q  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 68 by 12499.\nAnswer: 68\/12499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 349.0881ml in litres?\nAnswer: 0.3490881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1160323 - -2137315057\/1842. Calculate the common denominator of 11\/12 and i.\nAnswer: 3684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28546 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 760*d - 286. What is o(0)?\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.802 take away -0.4?\nAnswer: -3.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 2*n - 16, -3*b = -0*b - 4*n - 29. Solve -6 = 4*p - 5*g, 0*p - 14 = 2*p + b*g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.19 + -0.29. Let t = -0.75 - g. Let p = -2.65 - t. What is the second smallest value in -0.5, p, -3, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128 = -j + 2*z + 2*z + 114 - 232, -4*z + 20 = -6*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -382.9 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -140*f**2 + 13*f + 13864. What is m(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21, -27, -35, -45, -57?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(425))**2 - (sqrt(2448) + 1)**2 - (sqrt(136)*1*3 - sqrt(136))\/(sqrt(32)*-6 + sqrt(8)))*2.\nAnswer: -4046 - 744*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53 divided by 7.\nAnswer: -53\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 14 - 142 = 0. Suppose 0 = -4*q - t - 155, -102 = -5*q + 7*q + 4*t. Let b = v + q. Solve -b + 6 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 + 3 - 5 + 2. Let h(g) = 2*g**2 - g + 1. Let l be (3 - (-4 - 2))*4\/6. Let o be (9 - l)*1\/3. Determine o*f(u) + h(u).\nAnswer: u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 8*s - 2. Let l be j(-3). Let m = -15 - l. Which is bigger: m or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, j: 2, d: 2}. Give prob of picking 1 e and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s - 2. Let m(q) = -2*q - 4. Let t(i) = -3*d(i) + m(i). Calculate t(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20*h**2 + 13*h**5 + 14*h**5 - 23*h**5 wrt h?\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -67\/44 - -5\/4. What is the third biggest value in -2, t, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 AM and 4:02 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*n + 5*o - 2*o, -5*n + 5*o = 0. Suppose 3*r - 6*r - t = -308, -3*r + 298 = -4*t. Let v = r - 1532\/15. Is n greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + ((3 + 2)*98\/280)\/((-423)\/2172).\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8378 and 994?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of 87*o**4\/4 + 6*o**2 - 3*o - 68. Find the second derivative of s(h) wrt h.\nAnswer: 522*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/((96\/(-8))\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 3*k - 4*k = 75, -4*k - 125 = -5*j. Let w be (0 - -1)*-1*-15. Suppose 0 = u + 9 - w. Solve -n = -u*n + j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1436 + -1395 - (53 - -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -189, -3 in descending order.\nAnswer: 10, -3, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**4\/g*g\/(g*g*g**(-2\/19))*g*g\/g**(3\/7)*g**(2\/23) assuming g is positive.\nAnswer: g**(11513\/3059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 32342 = -5*b, -15*j + 20*j - 4*b - 40423 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -2*x + 5722056, 2*x + l = -3*x + 14305128. Suppose 121426 - x = 36*n. Round n to the nearest one thousand.\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/461, 672, -4, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 23595218 a multiple of 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -251*k**2*x**2 + 328*k**2 - k*x**2 with respect to x.\nAnswer: -502*k**2*x - 2*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 125805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 + 14*b**2 - 2*b - 18. Calculate f(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3296, 3301, 3308, 3317, 3328, 3341?\n\"Answer: q**2 + 2*q + 3293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 224.7 - 229.7. What is the closest to 1\/2 in 5, 1.1, -4\/3, m?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 25\/100 + (-19)\/(-8)*2. Suppose -g = -3*p + 7. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 584*o - 1467306 + 1427010 = 0 for o.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 6*g = 5*c - 280, g + 168 = 3*c. Calculate the greatest common factor of c and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = r + r + 148, 0 = 4*p + 5*r - 159. Let v = p - 18. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -612*z**3 + 10953*z**3 + 20583*z**3 + 19368*z**3.\nAnswer: 50292*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -3359*i + 84160. Determine b(25).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 760 and 1096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, v: 3, k: 4, r: 8}. What is prob of picking 2 k and 1 h?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in nine tenths of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 243338 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.4422 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 195 a factor of 428982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5502378*v**6 - 32216*v**2 + 2*v - 5 wrt v.\nAnswer: 660285360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 4*y + 2. Let q be o(2). Suppose 6*p + 220 = q*p. Let h = p + -43. Calculate the remainder when 19 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -60.935 - -61. Let t = z + 2.935. Which is the fourth biggest value?  (a) -0.1  (b) 1\/4  (c) t  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*m - 0. Let l(x) = -x**2 - x + 4. Let h be l(m). Let k = -5 - h. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u**2 + 0*u**2 - 6*u**2)*(0 + 1 + 4)*(12*u - u - 2*u).\nAnswer: -135*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10570*u**2 + 7778*u**2 - 11774*u**2 - 11663*u**2.\nAnswer: -26229*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that m**2\/3 + 16814*m\/3 = 0.\nAnswer: -16814, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 4*z = 9*z + 6 + 18, 2 = -3*q - 2*z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1\/(2\/(-9))*220\/(-15) and 39?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18038.1 - 204?\nAnswer: -18242.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 6:54 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2602794541 and 25282.\nAnswer: 12641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h\/h**9))\/h)**(2\/39)*(((h*h**(-5))\/h)\/h)**(-32\/3) assuming h is positive.\nAnswer: h**(2510\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = -13*x + 9*x + 7, -1 = -2*x + 3*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.18 minus 16126?\nAnswer: -16126.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 AM and 12:19 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j**3 - 10835*j**2 - 10840*j = 0. Calculate j.\nAnswer: -1, 0, 2168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -231 divided by -319\nAnswer: 21\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -367 * -3\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 1 = 2*x, -7*t + 12 = 4*x - 3*t. Suppose -3*g = -0*g + 2*y + 17, -5*y = -g. Let z be x\/g + (-2)\/(-5). Sort z, 3, 1 in descending order.\nAnswer: 3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -528 - -532. Sort 1\/2, 138, d in decreasing order.\nAnswer: 138, d, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -457776 (base 8) in base 9?\nAnswer: -256450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 312 = -0*w. List the prime factors of w.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + 3 + 0 + 2. Let r be 14\/u + 3\/6. Let t = 6 - r. Solve 0 = g - t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 842464514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllgg. What is prob of sequence llgg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9120)\/1344)\/95 + ((-1573)\/(-78))\/((-455)\/(-3)).\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1258.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3498)\/(-252) + 1\/(-6). Let 128\/7*r**4 + 0 + q*r**3 + 2\/7*r + 24\/7*r**2 = 0. Calculate r.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 - 1204 = -3*b. Is (-1 - -2)*(3 + b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 8, 12, -1\/2, 0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 5:26 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 - 4\/(1\/1). Let l(w) = w + 1. Let v(f) = -552*f**2 - f - 4. Let m(g) = t*v(g) - 3*l(g). Is m(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 9*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*a + 233*a + 31204 = 691*a for a.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 - 11*b**2 + 27*b + 28. Let a be y(-13). Solve -10 = -5*w + a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -600*-121110\nAnswer: 72666000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 298.989ns?\nAnswer: 0.0000000000830525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33890172, -33890166, -33890158, -33890148, -33890136, -33890122, -33890106?\nAnswer: -33890088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 18 = -5*w, 0 = -0*m - 3*m - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 229 - 204. Suppose 16 = -2*a - 4. Let v = x - a. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -502, -506, -512, -520, -530?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z**18*z*z*(z*z*z**(1\/12)\/z)\/z assuming z is positive.\nAnswer: z**(253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.17, 2, 8.4, -7\/6, 0.3, -3 in decreasing order.\nAnswer: 8.4, 2, 0.3, -0.17, -7\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/8 - 138\/(-24). Suppose -p = 4*p + 10, 0 = -t*h + 4*p + 28. Differentiate h*b**4 - 17 + 12 + 6 wrt b.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -94*n + 97*n - 15, -3*n = 5*d - 9675. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 951267943 to the power of 1\/3, to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 7327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 + 3*y**2 + 2*y + 1. Suppose 0*s - 3 = -5*p - s, -2*s - 2 = 2*p. Let k be p\/(-5) - (-63)\/15. Calculate v(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -36 - -55. Suppose 0 = 3*q - b - 119. Suppose -43*a = -q*a + 285. Calculate the remainder when a is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3*(17\/(-85))\/((-2)\/100))\/((-12)\/(-8)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -2*q**2. Let g(j) = -3*j + 3. Give g(f(z)).\nAnswer: 6*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - 43*q**2 + 10*q - 277. Calculate l(43).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f - t + 9, -2*t + 4 + 2 = 3*f. Let j(b) = b**2 - 5*b + f*b - 12 + 12*b. Let m be j(-12). Let g(v) = -v**3 + v + 11. Give g(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a + 5. Let w be j(-7). Let t be w\/((-7)\/(-3) + -3). Let m = 45 - 45. Solve m = -t*z - 2 + 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1518.877 to the nearest ten.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 213 - 213.1. Which is the fourth biggest value?  (a) 0  (b) 0.2  (c) q  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59.3555mm in meters?\nAnswer: 0.0593555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -17, -4\/7, -4, 862, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*m - 610 - 683 = -1521 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Is 1748563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 2*n = 33, y + 3*y + n = 24. Let z be (8 + -9)\/(2\/(-10)). Solve -z*s - 25 = 2*f, -y*f + 0*s - 2*s - 10 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 1 = f - 2, -2*f + 12 - 77 = 45*d + 86 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + 8*y**2 + 4*y - 8. Let c be k(-7). Suppose -3*d + c = -47. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 12 - 13 = -3*m + 20, -5*m + 335486*s + 39 = 335490*s for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5396088329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 17\/3*o**2 + 8\/3 + 98\/9*o + 7\/9*o**3.\nAnswer: (o + 3)*(o + 4)*(7*o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 317*a**2 - 14*a**2 - 94*a**2 + 426*a**2.\nAnswer: 635*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 9*r - 1. Suppose x - 1 - 2 = -u, -5*x = 4*u - 14. Let q(a) = -8*a. Determine x*p(t) + 3*q(t).\nAnswer: -6*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4306*a**2*u**4 - 112*a**2*u**2 + 327*a**2*u - 4*a**2 - 2*a - 2*u + 7 wrt u?\nAnswer: -51672*a**2*u**2 - 224*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.953 times -39.51?\nAnswer: -590.79303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 84 = 3*x + x, 0 = r + x - 27. Suppose 4*y - 6*y + 168 = 0. What is the remainder when (10\/6)\/(2\/y) is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5239, -4085, -2931?\nAnswer: -1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -469 + 474. Let u be 6*1\/3*2. Suppose 0*r + u = 2*r. Solve 3*l - 5*l + r*m - 12 = 0, i*m - 14 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 1 - 7 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 182 divided by 2860\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -1\/2  (b) -7  (c) -2380\/9  (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*p - 21*p = -114. Find the first derivative of 17 + p*j**2 + 28*j**2 - 43*j**3 - 27*j**3 - 49*j**2 wrt j.\nAnswer: -210*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 96d94a (base 15) to base 3\nAnswer: 111111222201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the first derivative of -35*l**6\/6 + 12*l**5 - 15*l**4\/4 - 10*l**3\/3 + 20. Let b(d) = 0. What is d?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5754505 (base 8) to base 9\nAnswer: 2841860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 81781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 + 1 + (-134 - (-84 + -63))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 156117113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 781787 is divided by 79.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (59 - 64)\/(1 + -4 + 5\/2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z\/(z**(-1)\/z))\/z))\/z)**11\/(z*z**(-3)*z*z\/((z*z*z*z**(-3))\/z)) assuming z is positive.\nAnswer: z**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzuczhuuzzzuuzhuz. Give prob of sequence cuz.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 - -17. Which is the closest to 1?  (a) f  (b) 3  (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4082559667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*o = 78*o - 45*o + 1674. Calculate the highest common divisor of o and 744.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 96 + -95. Which is the second smallest value?  (a) -5\/4  (b) l  (c) 3  (d) 1\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44862658?\nAnswer: 2, 22431329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -149*v + 45 = -158*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 PM and 1:43 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1144 + -1150. What is the second biggest value in 1\/8, -4, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 82, -176, 2.\nAnswer: -176, 2, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 91 + (-6 - 1 - (73 - 73)). Solve x + 13*x - r = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + 2 + -7 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 1 - 173*c - 2 - 1. Let d(m) = m**2 - 67*m + 813. Let z be d(16). Let a be b(z). Calculate the greatest common factor of 47 and a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 3*m - 4*g, 8 = 3*m + 2*g - 2. Suppose 5*a - m = 4*c, 3*c + 4 = -c. Suppose -34 = -a*x - 2*x. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1013280 or 1013281?\nAnswer: 1013280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 5 = 5*w, 0 = 5*y + w - 2*w - 29. Let f be (-4 + y)*2 - 9*1. Let k(m) = -5*m + 19. Is 4 a factor of k(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*(-240)\/(-4 - 0). What is the common denominator of 20\/(-150) - 562\/u and -81\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 7280910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -3*h + 2. Suppose -5*j - n + 16 = h*n, -j + 4 = n. Suppose 2*z = -j*z. Solve -5*d = -v - 17, z*v + 2*d = v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 438478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 200 and 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 68077111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 0*i. Let y(w) = -w**3 + w**2 + 19*w + 5. Let m be y(5). Let z(h) = -h**3 + 4*h**2 + h - 3. Let c be z(4). Solve m = -j - i - c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/((a\/(a*a**(2\/9)*a))\/a))\/a)\/a*a*a\/(a**(1\/2)\/a))\/(a**0)**(19\/2)*(a*a**(5\/3)*a*(a*a\/a**5)\/a)\/(a\/(a*a\/a**0))**28 assuming a is positive.\nAnswer: a**(565\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**2 + m + 15. Let w = -272 + 401. Suppose z = 4*z - w. What is the remainder when z is divided by d(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 - 10 = 6*c + 4*u, 0 = -3*c + 3*u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooofoqoqfqqq. Give prob of sequence qfo.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttvq when four letters picked without replacement from {k: 2, q: 1, v: 4, t: 8}?\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -488, -180, 2, -24, -5, 1 in increasing order.\nAnswer: -488, -180, -24, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2 + 28*n.\nAnswer: -2*n*(n - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/((-24)\/15)*(-144)\/300?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2964 - 3502 + 3841 = 138*q + 7311 for q.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 249*m**3 - 41*m**2 + 224*m + 1. What is the thousands digit of i(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (3\/(-8))\/((-18)\/(-30)) and -93\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes after 12:13 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 498 - 123 = 25*q. Calculate the remainder when 554 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -45588192 by 73058.\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10465\/103155 - (-2)\/(-21).\nAnswer: 1\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 3*i**2. Let n be p(1). Suppose -3*s + 6 = -n. Let d be (-88)\/(-32) + s\/(-4). Solve -24 = 5*z - 2*q, -z = -d*z - q - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 1 - 4 = 0. Let i(f) be the third derivative of -1\/24*f**4 + 0*f + 0 - 1\/2*f**3 + 2*f**2. Determine i(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 3*g + 9 + 17, 0 = -3*i - 2*g + 52. Suppose -3*n + 161 = -2*c, i = 4*n - 2*c - 200. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 - (14 - (-16 - -13))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11911 + 11919. Let w(u) be the first derivative of -n - 2*u**3 + 0*u - 1\/4*u**4 - 2*u**2. Give w(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -188545  (b) 1  (c) 13\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(2\/3)*h)**41)**5 assuming h is positive.\nAnswer: h**(1025\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -83*c - 8534. Calculate u(-103).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6645287 - -10?\nAnswer: 6645297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooooxoxxxo. Give prob of sequence ox.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -3*y**3 - 17*y**2 + 5*y + 180. Let r be c(-14). Let k be (-3)\/(96\/(-160262)) + -1. Let a = r - k. Find the common denominator of a and 45\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/(-1) + -3)\/(5\/(-50)). Suppose m*a = 8*a + 592. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 159\/(-9)*(-6)\/2. Let q = k + -53. What is the hundreds digit of (-112)\/(-3)*(q + -5 + 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**4 - 45*r**3 + 645*r**2 + 1405*r + 720.\nAnswer: -5*(r - 9)*(r + 1)**2*(r + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 775210, 1550457, 2325722, 3101005, 3876306, 4651625?\n\"Answer: 9*j**2 + 775220*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 7 = -2. Suppose 3*s + s + 32 = -2*z, -3*s + 2 = -p*z. Let c(j) = -5*j**3 + 4*j**3 - 2*j + 6*j - 5*j**2 - 2. Give c(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pdduufduvp. What is prob of picking 2 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*t**3 - 41*t**2 - t + 3028?\nAnswer: -6*t**2 - 82*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -f - 5*k, -f + 1954*k - 1950*k = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15956*s + 21621 wrt s.\nAnswer: -15956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -3  (b) 6  (c) 0.3  (d) -0.243  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-10)\/3*(-12)\/10. Suppose -3*q + 2*f = 4*f - 23, -3*q = i*f - 31. Suppose -11 = -v - 5*b, -5*v - 13*b = -16*b + 29. Sort v, 0, q.\nAnswer: v, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2989\/495142 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + -0.1. Let v = 179.98 + -175. Let w = v - -0.02. What is the third smallest value in w, 0.3, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2838075071 to the nearest integer?\nAnswer: 53274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 564892.8m to micrometers.\nAnswer: 564892800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -43*a**3 + 3*a**2 - 6*a - 6. Let q be v(-2). Let j = 364 - q. Are 4\/7 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0\/(0 - 2))\/((-9)\/3). Suppose 767 = 4*a + 3*y, -3*y + b*y - 188 = -a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 71249776 and 80?\nAnswer: 356248880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2421, -2489, -2561, -2637, -2717?\nAnswer: -2801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 - -12. Suppose -j*y = -2*y - 32. Let k(u) = u**3 - 3*u**2 + 3*u + 3. Let q be k(3). What is the highest common factor of y and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/7  (b) 4\/5  (c) -0.06  (d) 0.1  (e) 1\/5  (f) -445\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + n = -1973, 2*n - 1141 = -w - 147. Let i = -3997\/4 + w. Calculate the common denominator of i and -85\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, -20, -78, -190, -374, -648, -1030?\nAnswer: -1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(2430)*-2 - -2*sqrt(2430)*-6)\/(4*(sqrt(490) + (sqrt(490) - -2*sqrt(490)) + sqrt(490))*2))**2.\nAnswer: 243\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4178, 16663, 37470, 66599, 104050, 149823, 203918?\n\"Answer: 4161*a**2 + 2*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - 5. Suppose -j*i = -26 - 38. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10902502 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-64)\/(-36))\/(-8) - 6832\/36. Let b = -177 - l. What is the remainder when 74 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -2*o + 3*n, -5*o - 5*n + 12 = -2*o. Let d = 5 + o. Let x = -0.113 + 0.013. Which is the nearest to x?  (a) d  (b) 0.2  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1291*a*j**2 - 165*a*j*t**3 + 2*a*j + a - 72*j**2*t**3 - j*t**2 + 4*t**2 wrt t.\nAnswer: -990*a*j - 432*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(4\/3)*o)**(1\/4) assuming o is positive.\nAnswer: o**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -39 (base 15) to base 14\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2124*h + 2127*h = -u + 11, -u - 14 = -2*h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/9 + (-177)\/(-9). Suppose t = c + 2. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 6361, 6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 5*k - 1. Suppose -9*z + 3 = -6. Let n be c(z). Suppose n*b = 6 + 6. Solve b*i + 1 = 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*v**3 + 59785 - 59785.\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 9 + v**2 - 4 - 5. Let r(h) = 32*h**2. Give q(r(t)).\nAnswer: 1024*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2610 divided by -3668.\nAnswer: -1305\/1834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -17.659271784\nAnswer: -20.659271784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/8184 and -95\/14632.\nAnswer: 482856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4339.9 + -261882326.\nAnswer: -261886665.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 5*q + 22. Calculate the remainder when j(10) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2816847 divided by -1221.\nAnswer: -2307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37950.\nAnswer: 2, 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - -9. Calculate the remainder when (942\/20 - (-110)\/275)\/((-4)\/(-8)) is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*m**2 - 2 + 5*m**2 - 12*m**2 as o*m + u*m**2 + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1431432 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2705261 to the power of 1\/2, to the nearest integer?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -5*x + 8880, -6*x + x + 2*n = -8875. Suppose 6*s - x = 203. Calculate the greatest common factor of 30 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/19, 0.25, 0.1, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2662124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1\/16)*c)\/((c*c**(2\/41))\/c))\/(c**(-12\/7)\/c)**(-1\/62) assuming c is positive.\nAnswer: c**(120279\/142352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -620 + 655. Suppose 0 = -k*v + 135 + 40. Let c(x) = 0*x**3 + x**2 - 6*x**2 + x + x**3 - 4. Give c(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 17, h: 1}. What is prob of sequence hjhj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 - -12 - (-10 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1.4061, 1, 1\/6, -3?\nAnswer: 1.4061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7e1 (base 16) to base 9.\nAnswer: -2681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1679519 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m + 3. Let n(q) = q + 3. Let k(o) = -2*n(o) + 3*z(o). Let s be k(0). Let j be 2 - -1 - (s + -3). Solve -j*a + 10 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/(-12))\/((-1)\/(-20)). Suppose -4*o + a - 2 = 0. Let j be o\/(-10) - 24\/5. Which is smaller: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/432 and (-291)\/216 - 1\/(-28)*7?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36837 and 90046?\nAnswer: 810414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27081 is divided by 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(252)*-4 - sqrt(252))\/sqrt(9) - sqrt(28))\/(sqrt(4) + (sqrt(484) - (sqrt(484)*-2 + sqrt(484)) - sqrt(484))))**2*-6.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -434, -427, -420, -413, -406, -399?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*u - 7*u - 11 - 4 - 56*u - 10*u.\nAnswer: -79*u - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u = 2*u. Let a be (-6)\/531*(-2)\/2. Which is bigger: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -13 + -2 + 7 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -207 + 82. Let p = -132 - d. Let i = -5.5 - -5. Sort 0.2, p, i in increasing order.\nAnswer: p, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4\/17 + 10\/17*a + 2\/17*a**3 - 8\/17*a**2 = 0. Calculate a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 5*f - 80 = 0, 0*f + 18 = -3*t - 3*f. Suppose 0*a = 10*a + 80. Let y = a - t. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 2*sqrt(1100))*6 - ((sqrt(11) + (sqrt(11) + -1*sqrt(11))*4)**2 - (3*2*sqrt(11) + sqrt(11))).\nAnswer: 19 + 127*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (126\/1197 - (-40)\/(-19))*1. Is a >= -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.15272572622726 and 0.1.\nAnswer: 0.25272572622726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6164.21 + 6203. What is c rounded to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 159000*c + 8 + 158985*c.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 779092 and 16.\nAnswer: 3116368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -106 + 96 + 2 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-436)\/(-327))\/(3440\/(-120))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/3)*n)\/n**6)**(-35\/3) assuming n is positive.\nAnswer: n**(455\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -z + 5*z. Let k = -3 + z. Suppose 41 = k*m + 5. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 12:19 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of -w**5\/90 + 10*w**4\/9 - 16*w**3 + 832*w**2\/9 - 414*w. Suppose l(p) = 0. Calculate p.\nAnswer: 4, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -1.3, -2, 0.293, 4, -5.\nAnswer: -5, -2, -1.3, 0.2, 0.293, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 2*k + 6. Let x(j) = -5*j**3 - 6 + 4*j**k - 3 + 17*j**2 + 4*j - 7*j**2. What is the tens digit of x(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -87400 by 8.\nAnswer: -10925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(684) + 0 + -4)**2 + (sqrt(684) + 1)*6.\nAnswer: -12*sqrt(19) + 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -585 + 8277. What are the prime factors of v?\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9106297 weeks to microseconds.\nAnswer: 550748842560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-6*sqrt(325))**2 + sqrt(325))*-5 - (5*(2 + sqrt(325)) + sqrt(325) + sqrt(325) - sqrt(325))**2)*4.\nAnswer: -281200 - 2500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -3*v**3 + 5*v**2 + 3*v - 9. Let a(m) = 2*m**3 - 3*m**2 - m + 5. Let s = -186 + 183. Give s*c(b) - 5*a(b).\nAnswer: -b**3 - 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18 and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -31?  (a) -0.4  (b) 4  (c) -0.2  (d) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k + 4*k + 45 = 0. Suppose 26 = 3*s + 5*g - 22, -3*g + 9 = 0. Calculate the least common multiple of s and k.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*g + 3*g = o, 2*g = -5*o + 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -83 + 101. What is the remainder when 68 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.069 and 473.\nAnswer: -32.637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 4*b**2 + 17*b + 9. Let i(t) = t**3 + 16*t**2 + 79*t + 37. Let n(m) = -2*i(m) + 9*z(m). Determine n(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of 3 + 0*v**3 + 0*v**5 + 5\/6*v**6 + 0*v**4 + 0*v - v**2. Find the second derivative of g(d) wrt d.\nAnswer: 100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-1)\/q*q*q)\/q*q)\/q*q\/(q\/((((q*q**(-7\/2)*q)\/q)\/q)\/q*q)))**43 assuming q is positive.\nAnswer: q**(-387\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53066 is divided by 174.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qaqamqmqmaqa. Give prob of picking 3 m and 1 q.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 7:14 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -278, 3110, 12304, 30208, 59726, 103762?\n\"Answer: 484*j**3 - j**2 + 3*j - 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 65, 2459\/30, -5?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 365, 1394, -22.6?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3806.\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 38213 and 33648216?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1752172 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from opmfwcfmc. Give prob of sequence mom.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -5*s**2 + 164*s - 1710. Calculate x(11).\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 + 16. Let h(b) = b**3 + 2*b**2 - 3*b. Let u be h(g). Suppose u = -3*x + 330 - 81. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3297 in -2\/13, 1\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 + 12*g - 12. Let u be p(1). Let f be 116\/(-280) - 4\/(-10). Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -830 divided by 415\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (2*(sqrt(156) + sqrt(156)*-2) + sqrt(156) - sqrt(156) - sqrt(156))\/(-4*sqrt(1200) - sqrt(12)).\nAnswer: 3*sqrt(13)\/41 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 81329, 81009, 80691, 80375, 80061, 79749?\nAnswer: 79439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12611345864.0003287 - 12611344010. Let c = g - 1854. Round c to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 3*o = -4. Let s be 8 - (2 + -1) - o. Solve -s*r + 7 = -2*k + 6*k, 0 = k - r + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -609, -794, -979, -1164?\nAnswer: -1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -13*r**5\/20 + 11*r**4\/6 - 22*r. What is the third derivative of o(w) wrt w?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11.2762 - -0.9728. Let v = 0.151 + t. What is v rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48.47871 hours in weeks?\nAnswer: 0.28856375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 25312 divided by -7?\nAnswer: -3616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = 11459*h - 11455*h + 134, -137 = s + 4*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 4*x - 17, d - 16 = -d + 2*x. Suppose -4*c + 35 = 5*w, -5*c - w = -d*w - 19. Solve 2*j + 12 = z + 4*z, -2*z = c*j - 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 62931958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11918 - 11917. Let h(t) = -110*t**2 + t. What is h(c)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 + 7*k**2 + 5*k + 3. Let l be a(-6). Let u be 2\/9 + (-29)\/l. Let h be (-1 + (-2)\/u)*-3. Put -2, h, 3 in decreasing order.\nAnswer: 3, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1671, -3306, -4925, -6528, -8115?\nAnswer: -9686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(1\/6)*c)\/(c*c*c*c*c**(-16)*c*c))\/(c**12)**(-1\/22) assuming c is positive.\nAnswer: c**(817\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*h = -20*h + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/10*(-630)\/7. Let m = 136 + o. Let j = 1518 + -1493. What is the greatest common factor of m and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 257263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 58*d**2 + 61*d**2 - 7 - 2*d + 7*d + 64*d**2 - 182*d**2. Calculate g(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -30 or -20876?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2529 * -15\nAnswer: 37935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 905 = 4*o - 5*t, -4*o - 2*t = -0*o - 898. Does 45 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -2.64, -0.01, -2 in decreasing order.\nAnswer: -0.01, -0.2, -2, -2.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14238 divided by -19.\nAnswer: 14238\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 687729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 3*j + 33 = 0. Let r = -16 + j. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24 + 31 - 55 - 3*m + 5*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 divided by -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17150 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -118.6 - -119. Let g = 3 - 3.1. What is the closest to g in -3, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 43\/153 + -1\/17. Find the common denominator of i and -9\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-4 + (-5 + 1 + -2 + sqrt(1331) + sqrt(1331) + 1 + sqrt(1331) + 0 + -5 + (sqrt(1331) - (sqrt(1331) - (0 + sqrt(1331)))))**2).\nAnswer: -5280*sqrt(11) + 128352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k - 2. Let c(f) = f**2. Let z be 13 - 9 - 1\/1. Let i be (-2)\/((-6)\/z)*1. Let d(r) = i*c(r) + l(r). Determine d(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {m: 2, u: 17}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/5 in -4, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4988891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 891269.\nAnswer: 178253.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -191139306.16 to the nearest 100000.\nAnswer: -191100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 330671 (base 9) in base 11?\nAnswer: 125327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 279, -1, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 63 = -0*i. Suppose 2*v = -2*v + 44. Calculate the remainder when i is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m + 2*m, -x + 2*m + 1 = 0. Which is greater: -2\/63 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 + 5*r**2 - 7*r - 7. Let s be u(-6). Let j be (s*4)\/((-1)\/5). Solve 7*h = 2*h - 4*o + j, -5*h + 3*o + 20 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/8)\/((-692)\/8304)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 554106.3l?\nAnswer: 554106300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 - 11*u**2 + 11*u - 7. Give m(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*a - 79*a + 105 = -26343. Calculate the highest common factor of a and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 256413.78 hours to weeks.\nAnswer: 1526.2725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 + 5*d + 42. Determine f(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 10*n - 294. Let c = n + -30. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 413254 by 4.\nAnswer: 206627\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -110*b**2 - 391*b**2 - 419*b**2 + 258*b**2.\nAnswer: -662*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(392)*-6)\/((sqrt(24) + (sqrt(24) - sqrt(216)))\/sqrt(6)).\nAnswer: 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2132 - 2124) + (0 - (-14 - -2))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4478, -4469, -4448, -4409, -4346, -4253, -4124?\nAnswer: -3953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 16*q - 243 + 163 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13)\/((-728)\/(-1526))*(182 + -178)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*a + 2*a**3 - a - a wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 10731*p**2 - 45*p + 43. Is l(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**2 + 2*b**2 - 9*b**2 + 0*b + 0*b - b**2 + (-b + 3*b + 0*b)*(-2*b + 2*b + b) - 3*b**2 + 2*b**2 + 2*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2203 (base 4) to base 5.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2304449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1424683509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 5:18 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 2*h + 4 = 8, 9*m - 5*h = -60 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/73  (b) -0.1  (c) 962076\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 5*y + 11, 7*k - 5*y = 4*k + 1. Suppose -2*z + 3*z = -4*f + 2723, -k*f = -2*z + 5436. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26 + 17*n + 26 + 91*n.\nAnswer: 108*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**2 - 1561*p**3 + 2*p**2 + 1563*p**3 - 4*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 9.29 * -4\nAnswer: -37.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9801?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkwkqkyzqykwk. Give prob of picking 1 z, 2 y, and 1 q.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/2)\/(-1)*4. Let p be q\/(-27) - 8\/126. Let i be (2\/2)\/((-54)\/(-54)). Does p = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) -2  (c) 0.054  (d) 0.4  (e) -2.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 u when three letters picked without replacement from ukukukkukkkukuku.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 2*k - 34. Solve y + 9 = 3*v - 1, -5*y - k = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*a + 2*a - 4*a)*(-2 + 1 + 0) + 309*a - 143*a - 111*a + 0*a + 0*a + 3*a + 1 + 2 - 5 - 2*a in the form z + r*a and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*p - 1. Let z(c) = -9*c**3 - c**2 + 4*c - 2. Let w be z(p). Let d be 4\/w - 25\/(-10). Solve d*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (53250\/135)\/71*(-27)\/(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - -79116?\nAnswer: 79119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14e (base 16) to base 11.\nAnswer: -284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -9*i**3 - i**2. Let k be -1 + (-4 - -4) + 0. Give d(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000320222 to 7 decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -36*d**2 + 39*d**2 + 7*d**3 + 14*d**2. Let c(l) = 2*l**3 + 4*l**2. Suppose y + 2*u = 214 - 218, -2*y = 5*u + 9. What is y*a(s) + 9*c(s)?\nAnswer: 4*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/2 + -10 + -4. Let m = -5\/7 - 1\/28. What is the common denominator of m and 14\/k*273\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -7*z - 16. What is y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000012050671 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 462821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -3 - 2*a**3 + 7*a**2 - 3*a**2 + a**3 + a**2 + 2*a. Does 7 divide u(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 342 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**4 + 0*q**4 - q**4)*(65*q + 50*q - 2 - 7*q).\nAnswer: 216*q**5 - 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum 53133 and -118.\nAnswer: 53015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 310 - 295. Suppose -5*g = -k - 300841, j*g - 110875 = -3*k - 1013398. Let t = -19159 + k. What is t rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-63)\/2349*1122\/(-1309)\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2*i**2 - 2*i - 9. Let l(a) = 2*a + 8. Let z be l(-8). Let g be o(z). What is the greatest common factor of 27 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -0.1  (b) 2\/19  (c) -4  (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -6962144, -13924300, -20886456, -27848612?\n\"Answer: -6962156*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -117  (b) 1  (c) -0.2  (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (515\/45)\/(24\/36) + (-14)\/12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/30*5 + 12\/9\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 + 23*f**2 - 10*f - 50. List the prime factors of u(22).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*o = m + 12*o - 2, -5*m - 3*o = -10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/13  (b) 0.5  (c) 2  (d) -2  (e) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 159207 less than or equal to 159233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - 2. What are the prime factors of (3*q + 1)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.057, 4, -1\/7?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, -22, 1, -11.\nAnswer: -22, -11, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -89 + 54. Let z = w - -34.5. Let f be (-12)\/(-27)*1\/(-4). What is the nearest to f in -3, z, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 5*x = 4. Let y = x - 8. What is the common denominator of ((-816)\/(-54))\/((-4)\/y) and -34\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83929\/7 greater than or equal to 11991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 13*r - 3. Let o(z) = -3*z + 7*z - 4 + z + 9*z. Let a(b) = -4*k(b) + 3*o(b). Let l(m) be the third derivative of m**5\/60 - m**2. Determine l(a(q)).\nAnswer: 100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of i**4\/12 + 3*i**2\/2 - 3*i. Calculate l(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -229 + 5 + 3*l - 2*l.\nAnswer: l - 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 26*g**2 - 11*g + 5. Let n be b(-4). Suppose -93 = -4*p - 33. What is the greatest common divisor of p and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 160\/28 + -4 + 120\/28. Let y(m) be the second derivative of 1\/2*m**2 + 1\/12*m**4 + 5*m + 0 - 3\/2*m**3. What is y(g)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -593035.731 to the nearest 100.\nAnswer: -593000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 570*g - 140*g - 6020 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 59681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1564, 1563, 1562?\n\"Answer: -x + 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 84 - 159\/2. Let u be 654\/(-192) - (-5)\/(-5). Let j = u + q. Which is the nearest to -2\/3?  (a) -5  (b) j  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 912 and 1464648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of c**3 + 10*c**2 + 17*c + 3. Suppose 5*t - 19 = -3*w + 5, -4*t = w - 22. Let g(h) = h**2 + 7*h + 6. Give t*n(s) - 17*g(s).\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.087239 microseconds in minutes?\nAnswer: 0.00000011812065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -220322.\nAnswer: -220326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/38 - 6710\/(-209). Suppose -15*z = -7*z - p. Solve 0 = 4*t - 5*c - 7, -2*c = z*t - 3 - 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/2  (b) -0.01  (c) 75824\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 4*i - 8*i + 20, -2 = -i. Suppose 5*n + 2*c - 41 = c, -m*n = -4*c - 43. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 1\/4, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -o - 20. Let f(g) = -o*g - g + 6*g + g. Let z be f(4). Put z, -3, -5 in ascending order.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes after 2:09 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**3 + 3*i**3 - i**3)*(37*i**2 + 38*i**2 - i**2) + 2*i**5 - i**2 + i**2 + (0 + 0 + i)*(4*i**3 - 4*i**3 + 2*i**4) + 2*i**5 + 0*i**5 - i**5.\nAnswer: -69*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4442, -4355, -4216, -4025?\nAnswer: -3782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/46*35*9\/735)\/((-2)\/(-14))?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19270 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: Calculate the least common multiple of 18 and 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 - g + 46. Let k be a(0). Let v = -41 + k. Suppose 3*n + w = -0*n + 20, -5*w - 60 = -v*n. Solve 3*p - j = n, -3*p - 5*j + 20 = -3*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from jhhhjh?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.23 - -1.23. Let y = 8.1 - 8. Which is the nearest to y?  (a) 3  (b) f  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.812 times 0.1?\nAnswer: -0.0812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/12 - 438\/72. Let q(c) = -c**3 - 5*c**2 + c - 30. Calculate q(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of 6*y - 6 + 0*y**2 + 56\/3*y**4 + 29\/2*y**3. What is the second derivative of c(i) wrt i?\nAnswer: 448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 204 divide 27047340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 183990827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-3 + 2 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/(-9050))\/(((-12)\/70)\/(-10*(-24)\/(-560))).\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 + 102*b**2 + 1754*b - 480. Let g be x(-80). Factor g + 1\/5*h**5 - 6\/5*h**3 - 4\/5*h**2 + 1\/5*h**4 + 8\/5*h.\nAnswer: h*(h - 2)*(h - 1)*(h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14*2*(-9)\/36?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 5*t - 2 = -s, 5*t + 3 = 3*s. Let l = -14.7 - -14. Let q = l - -0.5. Sort q, 1\/2, s.\nAnswer: q, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -81 + -2 - (-35 - (-36 - (-42 - -22))).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 PM and 3:03 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4578 + 11953. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*g, 3*d + d + 0 + 2 + 2 = g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 - 1. Let t(v) = 8*v**3 - 5*v**2 - 4. Determine -4*i(a) + t(a).\nAnswer: 8*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*f - 123*f = -62*f - 110, -4*z - 5*z - 36*f = -380 - 448 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -490 - -2953\/6. What is the common denominator of 59\/18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -4, 0, 0.07, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 3*j**3 - 4*j**2 - 3*j + 9. Let t be g(3). What is the highest common factor of 60 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17209.\nAnswer: 17209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 - 13. Suppose -260 - 64 = 36*p. Which is the second biggest value?  (a) 4  (b) p  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-309)\/(-33166) - (-2)\/(-35) and 89\/690.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 766529039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3300.586 kilograms in grams?\nAnswer: 3300586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9.4 - 1.6. Let l = 13394365 + -13394353.9999945. Let f = g + l. What is f rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 78976 - -0.2\nAnswer: 78976.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 - 4*z + 6. Let u(f) = -31*f + 159. Let k be u(5). Let j(i) = -i + 1. Give k*j(h) - p(h).\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15.8 in -16, -1.4, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7.940487 millilitres?\nAnswer: 0.007940487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2 + 2 + x + 1 + 4. Let a be h(-8). Calculate the greatest common factor of a and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3, -2, -7, -12, -17?\n\"Answer: -5*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 2*o = 78, h - 2*o = -6*o - 2. What is the remainder when 25 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yml when three letters picked without replacement from uylybbmbunyyyuby.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 0. Let s = -1 - -4. Let y(x) = x**3 - 11*x**2 - 10*x - 22. Let c be y(12). What is the nearest to p in s, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 17*t**2. Let s(n) = -349*n**2 + 713*n**2 - 348*n**2. Give s(v(u)).\nAnswer: 4624*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -45 + 44. Let z(f) = -5*f. Let d be z(m). Solve -3*p + 1 + 6 = -2*r, d*p = 25 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-69324)\/(-1744)*5\/3*48\/(-60).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i**2 + 3*i. Suppose 2*s + 23 = 2*w + 3*w, -2*s + 2 = 0. Suppose 5 = 5*l - w. Let o(a) = -a**2 - 2*a. Calculate l*k(h) + 3*o(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 18045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 923, 34, 4, -5, 24, -1\/8 in increasing order.\nAnswer: -5, -1\/8, 0, 4, 24, 34, 923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -699 - -1006. Let f = 306.999999802 - l. Round f to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2566 is divided by 122.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 19785126731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 696.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and 152549.\nAnswer: 1372941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -7, 10, 61, 158, 313, 538, 845?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**12\/(j*j\/(j\/(j\/(j*j*j*j**18*j*j)*j)))*j**(3\/2)\/(j*(j**(-2\/13)\/j)\/j) assuming j is positive.\nAnswer: j**(901\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/264 and -67\/104670.\nAnswer: 4605480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 5*r**2 - 3*r - 4. Give d(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = z + 10 + 4, 5*d - 4*z = 35. Suppose -5*m - 40 = -4*t - 3*m, m + 31 = d*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13\/(((-19782)\/72)\/157)?\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120201021 + -20201?\nAnswer: 120110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -99, -120, -141, -162?\n\"Answer: -21*v - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.08?  (a) -2\/11  (b) 186  (c) -4  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 14 + -1 - (-11376)\/(-869)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s**2 - 5*s + 17*s**2 + 5*s - 2*s**3.\nAnswer: -2*s**3 + 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + sqrt(704))*5 + sqrt(704))*-5 + 1)**2 + -2.\nAnswer: 23520*sqrt(11) + 635999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 + d**2 - d + 1. Let l(t) = 7*t**3 + 6*t**2 - 6*t + 3. What is -6*h(g) + l(g)?\nAnswer: g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(20\/(-198))*(-35)\/315?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/13, 1516, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 - 3*k + 12. Let r be b(-5). Suppose -4*v - 5239994 = r*i, v - 5*i = -195452 - 1114563. What is v rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32 and 9839008.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 2*k = 27, 48*o + 50*o - 2*k - 18 = 96*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-30)\/8 - 2\/8. Suppose 4*v - 5*f - 3 = 0, 50 - 11 = 2*v + 5*f. What is the remainder when v is divided by 0 - h - (0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27 + 17 - 19) + 1 + 0?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of 0 - 1\/6*f**3 + 5*f**2 + 0*f + 1\/3*f**4. What is the units digit of o(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*v - 1292 + 464. Is 31 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 837.4678 millennia in centuries?\nAnswer: 8374.678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of v**3\/3 - v**2 - 104*v. Determine t(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 29*z - 6 - 8 + 17.\nAnswer: -29*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**24*a*a**(2\/41)*a**(-1\/2)*a*a**(1\/19))**(-46) assuming a is positive.\nAnswer: a**(766797\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1.301+26739\nAnswer: 26737.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -85684 and 0.4?\nAnswer: -34273.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12004*n - 1700 = -12072*n for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(24\/(-30))*-31. Let b = -150 + p. Calculate the remainder when b is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -5*i**2 + 2*i - 3. Give r(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2974431 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1763 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 486240987 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 495.0807mg?\nAnswer: 0.0004950807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/8, -0.3, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*v**2 - 2*v**2 + v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1011016 or 3?\nAnswer: -1011016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 32*a**4\/9 + 13744*a**3\/9 + 20374*a**2\/3 - 33140*a\/9 + 4250\/9 = 0.\nAnswer: -425, -5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 5957*n - 35252. What is w(6)?\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 3*x**2 + 301656 - 301656. Let i(a) = 417*a**2. Give i(q(h)).\nAnswer: 3753*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are -8\/49 and -0.0334 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -2425\/9, 2, 3, -2\/5, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -c - 1232, -3*s - 6195 = 24*c - 19*c. Let l = -27 - c. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v**3 - 6*v**2 - 9*v + 1. Let r be z(6). Suppose 0 = -157*c + r*c - 1740. What are the prime factors of c?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 13 = -p, -5*d - 3 = -3*d - p. Let l = 3 + d. Let x be ((-9)\/3)\/3*l. Is 3 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -860\/9 - -120607\/1260. Let i = 1\/28 + n. Find m such that 0 - i*m**5 + 2\/5*m**3 + 0*m**2 - 1\/5*m + 0*m**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-3*(sqrt(48)\/sqrt(2) + sqrt(24)))\/(sqrt(8) - 6*(sqrt(8) - (sqrt(8) - sqrt(24)\/sqrt(3)))).\nAnswer: -3 + 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00168 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xd when two letters picked without replacement from dxxxdx?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3 - 198888*u**2 - 795526*u - 596640.\nAnswer: -2*(u + 1)*(u + 3)*(u + 99440)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14 or -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2017 + 2017.04234. Round a to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1969 divided by -54\nAnswer: 1969\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from deeeeeedeeeee.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 960921 to the power of 1\/2, to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -817.1, 3, -2\/11, 13, 0.3.\nAnswer: -817.1, -2\/11, 0.3, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.18 + 0.2. Let w = 58\/3 + -19. Let g = 2.2953 + -1.2953. Which is the nearest to w?  (a) 2  (b) v  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*b**2 + 0 + 0)*(2*b - 3 + 3) to the form l*b**2 + m*b + z + v*b**3 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/8*-2*10. Let x be 84\/l - 4\/10. Let i be -2 - (-1 + x) - 2. Solve -o + 2*o = k + 5, 9 = o - i*k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -1480, 11.\nAnswer: -1480, -6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*m + 935 + 2819 = -57*m - 614 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1481, -6064, -13747, -24524, -38389, -55336?\nAnswer: -75359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -5*z + z + 40, 5*y - 2*z = -35. Let g(o) = -o**2 - 7*o - 2. What is g(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1038203, -2076406, -3114609?\n\"Answer: -1038203*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 + 5*n**2 - 2*n + 8. Let i be (-4 + 1)\/(-3) - -23. Let y = -16 + i. Let z be a(y). Round z to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-5)\/4*(18 + -138).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(30)\/(sqrt(144)\/sqrt(12)))\/(4*(sqrt(8)\/sqrt(4) - sqrt(2)) + (sqrt(98) - (sqrt(98) + sqrt(98) + sqrt(98)*-2))))**2*-2.\nAnswer: -5\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 105439562?\nAnswer: 2, 79, 139, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 2\/7, -11, 0.1 in ascending order.\nAnswer: -11, -2\/3, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = d + 3*d. Solve -2*r - 3*r = -d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2083892 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -61 - -274. Suppose 4*q + 81 - d = 0. Does 3 divide -1 - 1*q\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59529834.\nAnswer: 2, 3, 7, 13, 36343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of -r**7\/147 - r**6\/105 + 4*r**5\/35 + 2*r**4\/7 - 316*r. What is b in w(b) = 0?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -8  (c) 1\/7  (d) 2\/3  (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 236 divide 8787224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.1072084 rounded to two decimal places?\nAnswer: 6.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98 = 4*o - f - 89, 8*o = f - 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2.766  (b) 305  (c) 2  (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-33)\/(-27) + 2\/(-9). Let t be (-3)\/(-7)*n\/(15\/10). Find w such that -6\/7*w**4 + 0*w - t*w**2 + 0 + 2\/7*w**5 + 6\/7*w**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*u**2 + 3*u**2 + 2*u**2)*(0 + 3 - 4) + (3*u - u + 0*u)*(-u - 2*u + 4*u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21850 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 2*n - 3 + (4 - 4 + 2*n)*(3 - 5 + 1) + 3*n - 4*n + 0*n + 10*n + n - 2*n + (1 - 4 + 5)*(7*n + n + 0*n).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - 5) + 21 - (-15 + -8 + 14)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18 - -18. Which is the third biggest value?  (a) r  (b) -4  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -88 + 178. Suppose -5*u + b = -100. What are the prime factors of u + (2 - 2) + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -61, -102, -145, -190, -237, -286, -337?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 492 + -491.8. What is the third biggest value in -2\/3, -0.2, g, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1101222210122 (base 3) to base 12.\nAnswer: 300915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8279, 16594, 24957, 33392, 41923?\nAnswer: 50574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 221453 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 9 + 0 + -10 + -17.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8*m**3 - 440*m**2 + 7*m + 748743?\nAnswer: 24*m**2 - 880*m + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 1. Let s be 4\/(-60)*-15*(-1 - -3). Let l(y) = -y + 1. What is s*i(p) - 2*l(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3029)\/699*3108\/(-182).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18376 - 9038. Suppose 3*f - c + 2426 = 0. Suppose -y - f = -13*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 6 + 2)*(3 - 1 + 0)*(-h**5 - 7*h**5 + 4*h**5).\nAnswer: -40*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 5568164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1591*c**3 + 9805*c**2 + 2*c - 449014513?\nAnswer: -4773*c**2 + 19610*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 1 = 3. Let k be -21*3\/(-9)*a. Suppose 5*z = -2*v - 18, 5 = -5*z - v - k. What is z rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78148909.\nAnswer: 73, 1070533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**2 + 24*k + 3. Let a be q(-12). Solve 3 + a = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 12 = t, 3*a - t + 29 = 31. Put 5, 14, -10, a in descending order.\nAnswer: 14, 5, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 64, 1\/3, -3\/7, -5\/4 in descending order.\nAnswer: 64, 1\/3, -3\/7, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 25, 53, 113, 217, 377?\n\"Answer: 2*k**3 + 4*k**2 + 2*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/2 of a kilometer in meters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 4050 = 4052, 0 = 4*y - 3*l + 26 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 516.7918 decades?\nAnswer: 5.167918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2*p**3 + p + 3. Let j(n) = -10*n**3 - 6*n - 16. Let a = 45 - 29. Suppose 34*z - 1452 + 1350 = 0. Let q(w) = a*d(w) + z*j(w). Solve q(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28 - 22 - (0 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13590481 is divided by 1132534.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 13134303 = 170745942\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = u + 4, 4*u + 12*z + 88 = 10*z. Which is the biggest value?  (a) u  (b) -5  (c) -4  (d) -2  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -5*t**3 + 6*t**2 + 6*t + 3. Let w(m) = -5*m**3 + 5*m**2 + 5*m + 2. Determine -2*q(h) + 3*w(h).\nAnswer: -5*h**3 + 3*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + 212220014341?\nAnswer: 212220014334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ykjc when four letters picked without replacement from {j: 4, k: 2, c: 1, y: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllllglnlgdzzzzl. What is prob of picking 1 g and 3 l?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the third derivative of -1\/12*q**4 + 1\/9*q**3 + 1\/30*q**5 + 0 - q**2 - 1\/180*q**6 + 0*q. Factor z(s).\nAnswer: -2*(s - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-760)\/(-12)*(10 - 8\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vwtwvmuuuvvruwm. Give prob of sequence wutv.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 167427\/14 - 11951. Find the common denominator of z and (10485\/23300)\/((-4)\/150*9\/(-5)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 60 - -20?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 29314 - 1524373\/52. Find the common denominator of -57\/2 and j.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4353254315 - 4?\nAnswer: 4353254311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 4*q - 31. Let o be w(8). Let p(m) = 5*m**2 + 3*m - 20. Let s(x) = -x**2 + 2*x + 1. Let b(a) = o*p(a) + 4*s(a). Give b(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/24*(2 - 6). Which is the second smallest value?  (a) 3  (b) s  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7325.7 rounded to the nearest 10?\nAnswer: -7330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x - 23 = -8 + 33. Let t = 11 + -8. Which is the biggest value?  (a) t  (b) x  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1500 = 10*t + 5*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 1\/2, -20, 0.02, -2.5, 4\/5, 2257?\nAnswer: 2257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 - 1. Let j = p - 16. Suppose 0*i**3 + 0*i + 2\/5*i**4 - 4\/5*i**j + 2\/5 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 26 = -125. What is the greatest common factor of o and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -22*g - 640. Determine k(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*b - 3*y + 18, -146*b + 4*y = -142*b + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84760 is divided by 42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 3*t. Let z(p) be the third derivative of -p**4\/24 + 6*p**2. What is v(z(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 293 - 299 = -3*w, 5*w = -4*h - 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(2\/11)*o**(-2\/13)*((((o*o**(-1))\/o)\/o)\/o)**(-2\/157))\/(o**1*o**(3\/2)\/o)**(-7\/6) assuming o is positive.\nAnswer: o**(252905\/89804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -16*p**2 + 60*p - 3. Calculate m(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 523 by -128.\nAnswer: -523\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 164753?\nAnswer: 67, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = -18*i + 65 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 57360647 to the power of 1\/3, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 215 = 113. Let m = 807 + q. List the prime factors of m.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z - 6*z + 1 + 8*z)*(-z - z + 5*z).\nAnswer: 6*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5481299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27982*l = 27971*l + 44. What is the nearest to 1 in -0.3, 11.6, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(825))\/(sqrt(275) + 1*sqrt(275) + sqrt(275) + sqrt(275) + sqrt(275) - sqrt(11)) - (-1 + sqrt(21)\/sqrt(7) + sqrt(6)\/(sqrt(6)\/sqrt(3)))**2.\nAnswer: -13 + 71*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3942 and 1854711?\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -7*m + 6*m - 6 - 4*m. Suppose -7*y + 5*y - 6 = 0. What is the remainder when g(y) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 48\/(-28) + 286\/77.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17388 + -17387. Which is the smallest value?  (a) 5  (b) 239  (c) -1  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 38723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 5*x - 8 = 0, 3*x + 36 = 4*s. Suppose -4*y = -5*z - 81, 0 = -3*y - 3*z - s + 33. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of 11*a**5\/10 - a**4\/4 - 19*a. What is the third derivative of s(k) wrt k?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 6:10 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 + 4*(-2)\/2. Suppose f - 2*l - 56 = x, 87 = 2*f + 4*l - 3*l. What is the remainder when f is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 - 84 = 3*l. Let o = l - -147. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(4\/5)*m**(5\/4)\/m*(m\/(m*m*m*m**(-1\/3)*m*m*m))\/m*m**(-3\/7) assuming m is positive.\nAnswer: m**(-2119\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*y - 2. Let t(f) = f. Let d be t(2). Suppose -d*a + 4 = -y*w, 0*a - 2*w = 2*a - 16. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 102*y**3 + 2643*y**2 + 17004*y - 1521.\nAnswer: 3*(y + 13)**2*(34*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 - 7*k + 5. Let f be z(6). Let t(a) = 1 + 3 - 2 - 1. Let n(o) = -2*o - 3. Determine f*n(i) - 4*t(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -1\/44  (b) 0.5  (c) -0.16  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 (base 14) in base 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1\/234261922?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide (380\/(-209))\/((-8)\/33308)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80125237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -18.4502204 - -1\nAnswer: -17.4502204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of 11*x**9\/504 - 14*x**5\/15 + x**3\/3 + 113*x**2. Find the third derivative of g(l) wrt l.\nAnswer: 1320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -3.3. Let u(f) = -f**2 - 16*f + 77. Let w be u(4). What is the smallest value in -1\/6, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48398*(-6)\/(-12) + -2 + -1 + 1?\nAnswer: 24197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 52352872 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-15) - (21 + (-2959)\/165).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -49*j + 20*j - 58. Suppose -s + 2 = -0. Which is bigger: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - 4*y - 33, -2*o + 2*y = 2*o - 54. Calculate the highest common factor of o and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*(204\/24 + 3 + -12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -5, 0.5, 1\/247, -4\/5 in increasing order.\nAnswer: -16, -5, -4\/5, 1\/247, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 769 divide 52781084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 11, 5\/3, 4\/183?\nAnswer: 4\/183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -4*g + 22, -g - 2*g + 16 = x. Let i be (-6)\/4*24\/18*-2. Let h = -3031 + 3034. Solve -i*b + x = -h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -8*a**5\/7 + 106*a**4\/7 + 430*a**3\/7 - 626*a**2\/7 - 422*a\/7 + 520\/7 = 0.\nAnswer: -4, -1, 1, 65\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/(-15) - (-18)\/10. Suppose -3*x - 7 = -c - 0, -x + 3 = 5*c. Is c at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 624b9 (base 12) to base 10.\nAnswer: 128589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.16535 rounded to three decimal places?\nAnswer: -0.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, u: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 31)*(65 - 43)\/11\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 11507566*h**3 - 11372170.\nAnswer: 34522698*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -5*l**2 + 6 - 3*l**2 + 6 + 7*l**2 + 7*l. Calculate the remainder when 1\/3 - (-101)\/3 is divided by m(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**8\/l)\/l*l*l*(((l*l*l**(-7\/3)*l)\/l*l)\/l)\/l*l**(1\/2)\/(l\/(l*(l**(-6)*l)\/l*l)))**18)**(-41) assuming l is positive.\nAnswer: l**(-1599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 312 = 23*h. What is the remainder when 43 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 PM and 12:48 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -28*b**2 + 1809 - 883 - 2*b - 928 + b**3 - 2*b**4 in the form p*b**2 + u*b**4 + g + i*b**3 + z*b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6587.182 milligrams to kilograms.\nAnswer: 0.006587182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -5*i**3 + 685*i**2 - 8535*i - 9225 = 0.\nAnswer: -1, 15, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 237070147 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 4895386 (base 11) in base 10?\nAnswer: 8513533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((36\/180)\/(12\/(-285))*-1)\/((-3)\/(-36))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -412*p**2 - 2065*p - 18. Determine r(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-5*-1*sqrt(448) + -2.\nAnswer: -2 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/35?  (a) -0.2  (b) -2\/17  (c) -0.3  (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 11*f**2 + 43*f - 492. Let d be u(5). Let m(a) = 5*a - 28. Let y(l) = l - 7. Give d*m(w) + 9*y(w).\nAnswer: -w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l**3 - 5*l**2 + l. Let m(p) = -3*p**3 + 8*p**2 - 2*p. Calculate 5*m(a) + 8*v(a).\nAnswer: a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 + 6*o**2 + 54*o - 290. Let p be i(5). Solve -2*b = 2*x, -5*b + p*x - 40 = -0*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 3*q. Let p(h) be the third derivative of 0 + 2*h**2 + 1\/24*h**4 + 0*h**3 + 0*h. Determine p(d(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 + 14. Suppose 5*r - p = 15. Let j(s) = 22*s**2 - 64*s - 3. What is the least common multiple of r and j(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3386966533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -3*g - 7. Let n be v(-3). Put -2, -4, n in ascending order.\nAnswer: -4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 989598.\nAnswer: 2, 3, 23, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 31931*a**3*g**3 + 306*a**3*g**2 - a**3*g - 2*a**3 - 7*a wrt g?\nAnswer: 191586*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**17*d**9)**10)**(-3\/7) assuming d is positive.\nAnswer: d**(-780\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 26430915 and 29540.\nAnswer: 105723660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -40 - -15*(-26)\/390*-14\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-13)\/(-1092)*-45)\/((-100)\/160).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -10, 146, -3, -1, -23 in descending order.\nAnswer: 146, -1, -3, -4, -10, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of v**4\/12 - 4*v**3\/3 + v**2\/2 - v. Let a be j(8). Let z = -7159 + 408061\/57. Are z and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g = -3*g - 6. Suppose 69 = -g*y + 5*y. Suppose 0 = 5*u - m - 6, -u - 5*m + y = 1. Which is the smallest value?  (a) u  (b) 0  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/124920 and 77\/32832.\nAnswer: 56963520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 PM and 1:17 AM?\nAnswer: 377","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*11\/((-30)\/80*8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of 28*w**4\/3 - 42*w**2 - 74*w. Differentiate c(r) wrt r.\nAnswer: 224*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 146 = 14244*s - 14192*s + 3437 + 37 for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1832.6 - 1478. What is n rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 320 is divided by 192.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**3 + z**3 + 3*z**3)*(-2*z - 2*z + 5*z) - z**4 - 4*z**4 - 33*z**4.\nAnswer: -34*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/((-99)\/(-8)))\/((-4630)\/(-25465))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3674 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2340)\/36855*(-27)\/8.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13863 is divided by 1370.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15718?\nAnswer: 2, 29, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.35 - -3.85. What is the biggest value in j, 1\/6, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-207)\/(-1349640))\/(14\/(-560)).\nAnswer: -1\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -86 + 285. What are the prime factors of y?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 82365 + -82360. Suppose -5*m = 5*t - 15, -m = 3*t + t - 12. Determine z so that 40\/13*z**v - 34\/13*z**2 + 0 + 4\/13*z + 96\/13*z**t - 106\/13*z**4 = 0.\nAnswer: 0, 1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a\/(a*a**(1\/6)))\/a)\/a)\/(a*a\/(a*a**(-1))))**(4\/5)\/(((a**(-3\/8)*a)\/a*a)\/a**(-2\/7)*a**5\/(a\/a**(4\/9))) assuming a is positive.\nAnswer: a**(-4379\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4, 0, -24, 5 in increasing order.\nAnswer: -24, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -21c3 + 3?\nAnswer: -21c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2316 + 4816. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 197352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ege when three letters picked without replacement from {g: 5, e: 13}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-3\/5))\/y**(4\/7))**(-2\/127)\/((y\/(y\/(y\/(y\/(y\/(y**(4\/7)\/y*y))*y))))\/y*y**(-9))**(-3\/14) assuming y is positive.\nAnswer: y**(-70401\/31115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5706*w + 4*d = -5704*w + 42, -14*w + d - 78 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 90*r**2 - 4*r + 4. Let m(b) = 810*b**2 - 35*b + 35. Give -4*m(s) + 35*x(s).\nAnswer: -90*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*q - 6 = 12*q, -5*m + 868 = 4*q. Calculate the highest common factor of m and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1)\/c)**(-28\/9)\/(c**2)**(-2\/11)*(c**0)**(-1)\/((c\/c**(2\/5))\/c**1) assuming c is positive.\nAnswer: c**(3458\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 419562 is divided by 7109?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8959*o**2 - 19*o**3 - 4503*o**2 - 4459*o**2 - 19*o**3.\nAnswer: -38*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/234 and 58\/585.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -20*o + 5. Determine q(-3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1132, 892, 242, -1022, -3104?\nAnswer: -6208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 295 = -0*q + 4*q + q, -2935*q - 1121 = -2916*q - m for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8 - (-37 + 12)) + -9 - (1 - 4)) + -79.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3238585 != 3238585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*d = -41*d. Suppose d = 3*f - 9, -5*p + 7*f - 12*f + 25 = 0. Solve -j = p*j - h - 8, j + h = 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/7, 1\/3, -2\/15, 6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -48 - -63. Let c be (-5)\/(-4)*(p + -19). Which is bigger: -19\/5 or c?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -85 + 63 + 436\/4. Solve n*q = 4*d + 84*q + 1, 0 = 5*q + 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*v - 3)*(-4 + 4 - v - 2)*(-4*v**3 + 0*v**3 + 6*v**3).\nAnswer: 4*v**5 + 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 + 2*a + 4. What is the smallest common multiple of l(-4) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9116 + 3*q**2 + 18231 - 9115.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 34106, 68214, 102322?\n\"Answer: 34108*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/4)\/(21\/28). Suppose 2*m = -b*o - 3*m + 12, 4*m - 24 = 2*o. Let v be (-4)\/(3 + o) - 8. Sort 3, v, -3 in increasing order.\nAnswer: v, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lsrlsgrlsrs. What is prob of picking 3 l?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(1\/(30*-1*-1)*3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 44140861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -624\/5 + 123. Suppose -s = q + 4, -4*s = -5*q + 4*q + 1. Which is smaller: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1268071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + m - 2*m = -7, 2*a - 2*m = -2. Let b be 0\/1*(-3)\/6. Put 2, a, b in increasing order.\nAnswer: a, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 103355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.019359 to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 4, p: 5, g: 1}. What is prob of picking 3 d?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 28, 4, -4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + 3*t + 6. Let n(b) = 15*b**2 + 7*b + 5 - 11*b + 8*b + 10*b + b**3. Calculate the least common multiple of t and n(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-177))\/(9\/297*-11)\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -8*a**2 - 184*a + 382. Let i(s) = -18*s**2 - 368*s + 763. Let j(m) = -5*f(m) + 2*i(m). Find g, given that j(g) = 0.\nAnswer: -48, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 621697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 AM and 10:17 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/577000 and 103\/720?\nAnswer: 10386000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 - 16*c**2 + 37*c + 36. Give h(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 40 = q, 0 = -q + 3*p + 84 - 145 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -7. What is the lowest common multiple of 22 and 12 - (-4)\/(2 - j)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h**2 + 3*h + 4 + 13*h - 25*h + h**2 + 11*h + 2*h**3. Calculate i(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * -2.1.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w - w + 0*w)*(-3 + w**2 + 3) - 12*w**3 + 6*w**2 + 10*w**3 - w**2.\nAnswer: -3*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + 2. Let n = 26 + -13. Let i = n - 11. Put i, 1, q in descending order.\nAnswer: i, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32*a**3 - 94*a**2 + a - 102*a**2 + 3 + 184*a**2 to the form l*a + p*a**2 + q*a**3 + s and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 17 + 9 - 1403*w - 26 - 216*w in the form s*w + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 12:21 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - 8. Let n(d) = d + 11. What is the least common multiple of g and n(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 159128.\nAnswer: 2, 19891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 + 34. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 197 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3885*v + 1137. What are the prime factors of d(15)?\nAnswer: 2, 3, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0213850999 to 5 dps.\nAnswer: -0.02139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.129?  (a) 0.08  (b) 2  (c) -11  (d) 4  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 124535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1915.4043 months in millennia?\nAnswer: 0.159617025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/504 and 47\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 376877\/847953 + -1\/94217. Suppose -u*f**5 - 14\/9*f**4 + 0 + 2\/3*f + 14\/9*f**2 - 2\/9*f**3 = 0. Calculate f.\nAnswer: -3, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24 - -7. Suppose 3*n = -3*o + w - 4, -o + 5*n - 9 = 0. List the prime factors of (-26)\/o*-3*2.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 - 5*u**2 - u + 2. Let g be y(4). Let f = g - -56\/3. Let i(m) = -m**2 - 7*m + 2. Let p be i(-7). Is p at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/186 and 25\/8.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 230 = 5*a, -2*a + w = -48 - 45. Suppose r - a = 2*k, -5*k + 29 - 73 = -r. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 47?  (a) -3\/23  (b) -10  (c) -0.2  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 88.7 + -78. Let f = -11 + i. Which is the biggest value?  (a) f  (b) -2  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32972875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k**3 - 39*k**2 + 36*k + 379. Determine v(-20).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = t - 57962, 36032 = -4*o - 3*t + 94006. What are the prime factors of o?\nAnswer: 14489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -155*a = 1300 - 370 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 26.2 - 26.3756. Let y = o + 0.19. What is y rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*v + 9 = -11*v, 5 = t - 2*v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 670685.5 rounded to the nearest 1000?\nAnswer: 671000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/120224 and -37\/41028.\nAnswer: 94856736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*f + 3841 - 14581 = 0. Let q = -631 - f. List the prime factors of q.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 13 + -9 + (-38)\/9. Which is the third biggest value?  (a) x  (b) -3  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 180 + 71?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 + 4. Let a = 7 + -5. Let v = a + n. Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 60\/9 + (-2)\/3. Let k = t + 5. Solve 3*v - 18 = g, -4*g - k - 11 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11131, 0, 1 in increasing order.\nAnswer: -11131, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a + a - a - a - 6*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*a = -23 - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23407 + -1576. List the prime factors of k.\nAnswer: 3, 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20766.29ml in litres?\nAnswer: 20.76629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(104)\/sqrt(8))**2 - sqrt(13))*2 + 1*sqrt(104)\/sqrt(72).\nAnswer: -5*sqrt(13)\/3 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -3*2\/(-3)*(15 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -w + 5, -t = 4*w + 19 - 4. Suppose -5*b = 6*u - 2*u + 5, -5*u - 37 = -4*b. What is the smallest common multiple of t and (-53)\/u + 8\/20?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 130 and 20410.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 1. Let b(v) = -209*v - 14. Let n(r) = b(r) + 5*z(r). Is n(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 54 and -2.8?\nAnswer: -151.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2418, -10824, -24834, -44448, -69666?\nAnswer: -100488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*v**2 + 8*v**2 - 2*v**2)*((v + 0*v + v)*(0 - 4 + 11) + 7*v - 15*v + 15*v + 9*v) in the form f*v + y*v**3 + d + k*v**2 and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 217717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43219*c + 86436*c - 43210*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-4)*(-10)\/65.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*s**2 + 3*s + 592*s**3 - 590*s**3 + 3*s**2 to the form b*s + r*s**2 + v + j*s**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 82430 divided by 82430?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 2 - 5*k**2 + (-k - 5*k + 4*k + (3*k - 2*k + 2*k)*(-2 - 4 + 4))*(-1 + 0 + 3)*(k - k - k) in the form d*k**2 + b + o*k and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/63 of a week in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 - 118*d**2 + 241*d + 410. Let k(x) = -11*x - 15. What is the remainder when w(-120) is divided by k(-8)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -3028*a**2 - a. Let o be l(1). Let u = o - -2029. What is u rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22045 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 762 + -2?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -4*c - n, 37*c = 32*c + 3*n - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 11 = -g, 4*u + 2 = -3*g - 4. What is the closest to 1\/2 in 3\/4, u, 1\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 113438 = -3*q, -56*o - 151269 = -4*q - 57*o. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 311, 652, 1005, 1376, 1771, 2196?\nAnswer: 2657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((52\/10)\/((-948)\/790))\/((-1)\/3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-206)\/(-4))\/((-3)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -260 + 51. Is 87 a factor of 58*(z\/114)\/(1\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 372 - 14103 = 0. Suppose 17*b = -8*b + c. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 4:43 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1302 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 11) in base 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/5 and -23\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 151840000 to the nearest one million.\nAnswer: 152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(243)*1)\/sqrt(9)*5)**2 + (-4 + (sqrt(108) - -3*sqrt(108)))**2.\nAnswer: -192*sqrt(3) + 2419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 210, 5.4, 0.2, 3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 8) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 84 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -268, -299, -320, -325, -308, -263, -184, -65?\n\"Answer: w**3 - w**2 - 35*w - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*l**2 + 37*l**2 + l**3 - 13*l**2 as i*l**2 + c*l**3 + b + x*l and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 974556 by -1012.\nAnswer: -963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5620 divided by -1405.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/7))**(-24)*(r*r**(5\/3)*r)\/(r*r**(2\/3)\/r*r*r))\/((r*r**0*r)**(23\/4)\/(r**4\/(r\/r**3))) assuming r is positive.\nAnswer: r**(-159\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(1\/(-1 - -3)). Does 10 divide 126\/4 + q\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15709*o - 15709*o - 18*o**3 + (-o - o**2 + o)*(-o + 3 - 3).\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xzxxzxzrzxxhr. What is prob of sequence xh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/12  (b) -0.1  (c) 9  (d) -1\/8  (e) 0.3  (f) -21  (g) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10438?\nAnswer: 2, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w. Let n be y(0). Let q be (n\/2)\/(-3 - -2). Let v = -186.5 - -186. Which is the nearest to q?  (a) v  (b) 0  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 195 divide 1008026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of k**4\/12 + 81*k**2 + 2. Let g(o) = -5*o**2 + 7*o. What is v(g(i))?\nAnswer: -10*i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f**2 - 414. Let z(x) = -563*x + 6. Calculate z(r(m)).\nAnswer: 1126*m**2 + 233088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*k*x**5 - 227*k*x**2 - 4*k*x - 105*k - 13*x wrt x?\nAnswer: 160*k*x**3 - 454*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 1785*l - 4695. List the prime factors of w(22).\nAnswer: 3, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 69413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of 9*c**4\/4 + c**3 - 2*c**2 + 3*c + 1. Let s = 2 + 0. Is a(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - -1) + (-71)\/((-639)\/(-101))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3\/3 + 217*u**2\/3 - 4322*u\/3 - 27160\/3.\nAnswer: -(u - 194)*(u - 28)*(u + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3638.414108511 - 2183.414109478. Let i = 1455 - m. What is i rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 6\/175 and -14\/11?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 341 + -322. Is w equal to 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by 56\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 655575474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*w + 4*u = 20*w + 12, -5*u + 24 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4198 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: Calculate 0 - 26 - -8 - (12 - -2 - 12).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-12)*y\/(y**(-1\/41)\/y)*y assuming y is positive.\nAnswer: y**(-368\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 128 = -3*j, 384*p = 380*p - 2*j + 248. What is the remainder when p is divided by (33 - -1)*7\/14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001822966 rounded to 5 dps?\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5488941778.\nAnswer: 2, 31, 113, 127, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 427 greater than 427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = f + 3*r + 16, -2*f + 4 = r. Solve 0*j = f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 42*y**2 + 141*y**2 + 10 + 13*y**2 + 2*y - 19*y**2 as b + z*y**2 + n*y and give z.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1066 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.03 - -0.07. Let r = 1702 + -1702. What is the closest to j in 3, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 5*k - 3*k. What are the prime factors of ((-6)\/k)\/(1*(-4)\/(-144))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15062 divided by -17.\nAnswer: -886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2758927319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 * 0.094\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes after 8:09 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -3*c**2\/4 + 195*c\/2 = 0?\nAnswer: 0, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 5*g + 6, 4*g = -3*p + 7*g + 9. Solve -p*q - 71 + 78 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (6 - (1 + 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -117 * 33.7.\nAnswer: -3942.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -13*p + 4. Let l be f(2). Let q = l + 22. Solve c - 4*o = 17, -3*c - 1 = -q*c + o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 + 7. Solve 4*z - z - 3*j = -9, -5*z + 2*j - 15 = i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21 - -51) + -23 + -19 - (2 + -1 + 6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 1559*v**2. Let p(k) = 130*k. Determine o(p(j)).\nAnswer: 26347100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 AM and 1:20 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 102503 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1241 = 23*f - 1330 + 685 for f.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(2*1\/(-6)). Suppose -3*o + 28 = 5*d, 1 + 27 = 3*d - o. Let g = d - 6. Solve -5 = -a*l - g*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence moxx when four letters picked without replacement from moxxmoooomx?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (124872\/(-430))\/(9\/(-120))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 2717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {q: 5, i: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 28, -47304 in descending order.\nAnswer: 28, -1, -47304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 203.39998 rounded to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 508 divided by 254\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 - 2*f**2 + 10*f - 8. Let b = -48 - -52. Suppose -5*o + v + 31 = -113, 0 = -b*o - v + 108. What is the remainder when o is divided by u(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5134 by 2567.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 4*t + 2*m, 1 = t - m - 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -v**4\/4 - 173*v**3\/8 - 3373*v**2\/8 + 6865*v\/4 - 750 = 0.\nAnswer: -50, -40, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**2 - 2*t - 4*t - 2 + 1 + 5*t. Let d(s) = -s**4 + s**2 - s - 2. Let z(o) = 4*d(o) - 4*j(o). Differentiate z(w) wrt w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4817.282015 and 0.1?\nAnswer: 4817.382015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -387  (b) 0.002  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 6*f**3 + 7*f + 4. Let z(n) = -13*n**3 - 14*n - 7. Let w(i) = -7*s(i) - 4*z(i). What is the second derivative of w(b) wrt b?\nAnswer: 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-112)\/(-12))\/((-18)\/(-27)). Suppose -3*n = k - r, 3*k + 1 - 13 = -4*n. Calculate the highest common factor of 66 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((16\/(-11))\/(-8))\/((-8)\/(-264))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-157*r**3 + 2 + 78*r**3 + 78*r**3)*(-14*r**2 + 33 - 33).\nAnswer: 14*r**5 - 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3313*c**2*q**2 - 1439*c**2 + c + q**2 + 2 wrt q?\nAnswer: 6626*c**2*q + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1209 not equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from tjtll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 3 = 1, -n + 3*a - 9 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/15)*b)**(2\/159)\/(b**8\/b*b*b**13*b*b) assuming b is positive.\nAnswer: b**(-54829\/2385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/154008 and -41\/9844.\nAnswer: 16478856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 519 + -80?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1 - 0.1. Let m = 0 + t. Let q = -4.85 + 0.85. Which is the nearest to m?  (a) 2  (b) 5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3255768 - -7839887535\/2408. Let i = -30\/43 - t. Which is greater: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -460690, -921388, -1382084, -1842778, -2303470?\nAnswer: -2764160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 7*b**2 + 178*b + 1367. Determine r(-7).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 312*q - 1500 + 570*q + 750 + 750.\nAnswer: 882*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -58 - 2369?\nAnswer: -23c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -34*o + 4. Let r(c) = -19*c + 3. Let h(s) = 4*i(s) - 7*r(s). Let g(j) = 7*j + 10. Determine 4*g(a) + 9*h(a).\nAnswer: a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2488, -4789, -7084, -9373?\n\"Answer: 3*j**2 - 2310*j - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 45 + -11. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - 35, 715*n - y = 720*n - 464057. Round n to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -66 + 65.99999919. What is c rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-18))\/(-3*1\/18).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 times -10?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.4 - -3.8. Let g = k + -3. Which is the third smallest value?  (a) 1  (b) g  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -983\/1434 - -9\/478. Which is the biggest value?  (a) 3  (b) 1\/3  (c) -0.4  (d) k  (e) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -88*q**3*t**2*y**3 + q**3*t*y + 19*q**3*y**3 + 2*q**2*t*y**3 - 1411*q*t**2*y**3 - 1385*q*t*y**2 wrt t?\nAnswer: -176*q**3*y**3 - 2822*q*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of 35*s**4\/12 - 5*s**3\/6 - 4*s**2. Is u(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 29*j**2 - 36*j - 363. What is f(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -3*k - 4. Let l be r(-6). Find the second derivative of -8 - 197*z**2 + 197*z**2 + 12 + 185*z**4 - l*z wrt z.\nAnswer: 2220*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 29009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 677*v**3 - 2038*v**3 + 679*v**3 + 681*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 162599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2494787724.\nAnswer: 2, 3, 11, 13, 484613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t + 2. Let q be z(0). Let u(y) = y**3 + 7*y**2 - 9*y - 6. Let g be u(-8). Let b(a) = 2*a + q*a - 4*a - a**g. Let x(i) = 6*i. What is x(b(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 122809851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1100 is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1837894.\nAnswer: 2, 918947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.6 + -2.6. Let r = 17 - 16. Let h = -0.94 + -0.06. Which is the second biggest value?  (a) r  (b) h  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4  (b) -1\/3  (c) -1\/2  (d) -1511\/2  (e) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence juu when three letters picked without replacement from {j: 3, w: 3, u: 2, i: 7}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -6*r**3 + 34*r**2 + 48*r - 12. Let z(h) = -6*h**2 + 2. Give -j(d) - 6*z(d).\nAnswer: 6*d**3 + 2*d**2 - 48*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 - i**2 + i - 7. Let d be c(0). Let y(r) = -2*r - 6. Let q be y(d). Suppose g - q = -9. Which is greater: g or 2\/63?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 321 or 15133\/47?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x**(2\/65)*x))**5 assuming x is positive.\nAnswer: x**(-67\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.51 - 0.49. Put -2\/15, 0, o, -0.5 in decreasing order.\nAnswer: 0, -2\/15, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1627090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30746910?\nAnswer: 2, 3, 5, 137, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -3*n. Let g(r) = -r**3 + 20*r**2 - 19*r - 2. Let s be g(19). Calculate k(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 40 + g**2 + 37 - 3*g + 2*g - 76 - 3*g**3. Let p be w(1). What is the tens digit of (6\/(-12))\/(p\/212)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.76 + 0.24. Which is the closest to -0.1?  (a) -1\/11  (b) 2  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-26)\/(k**(2\/9)*k**(-4)*k)*(k**(3\/4)\/((k\/(k**4\/k))\/k))\/(k**3\/k*k**(1\/3)) assuming k is positive.\nAnswer: k**(-785\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28\/10)\/(130\/(-325))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2497751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + -112?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -644.8288845 to the nearest ten.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 2 = -k. Let h = 13 + -9. Suppose 2*a + 18 = -5*m, h*m + 2*a = -0*a - 14. Put k, m, -2 in decreasing order.\nAnswer: k, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85 + 79 = -2*r. Let f(i) be the first derivative of -1 + 3\/2*i**2 + r*i. Calculate f(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -56.2 - -54.2. Which is greater: q or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + 5*o**2 + 101*o - 541. What is c(5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 4*a. Let u(c) be the second derivative of 0 - 1\/6*c**3 - 2*c + a*c**2. Let s(l) = -2*l**2. What is u(s(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 234 and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 2*x + 419, -3*a = -5*a - 5*x - 839. Let s = -256 - a. What is the greatest common factor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + -20. Let n = 4 - d. Factor -4*m - n*m**3 + 12 - 12 + 7*m**4 + 14*m**2 + 3*m**4 - 2*m**5.\nAnswer: -2*m*(m - 2)*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1236 in -6, 3, 3\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170)*1)\/sqrt(5))\/(sqrt(128)\/sqrt(4)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of 571*r**7\/42 + 1109*r**3\/6 - 11*r. What is the second derivative of f(q) wrt q?\nAnswer: 11420*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1542?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10178.7739*0.02.\nAnswer: -203.575478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1836)*-2)\/(-2*(sqrt(27) + sqrt(81)\/sqrt(3))\/sqrt(9)) + 4.\nAnswer: 4 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 64*u**2 + 43*u**4 + 28*u**3 + 248*u**4 - 6 - 54*u**4 + 362*u**4 - 24*u**3 wrt u?\nAnswer: 14376*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 425375 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 107 - 66. Let x = l + -41.1. Which is the nearest to x?  (a) 0.5  (b) -0.1  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 16 = 2*o, 3*l - 13 = -4*o + 2*l. What is the third derivative of 17*x**o + 9 + 4*x**2 - 9 + 2*x**3 wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1157209502 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 121788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -4  (b) -3  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17817898*u**2 + 928186*u + 2?\nAnswer: 35635796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/4*3*6502\/3. Is 1 + (-2 - w - (-1 - 0)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 140351, 140352, 140353, 140354, 140355, 140356?\nAnswer: 140357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4062.872ng to tonnes.\nAnswer: 0.000000000004062872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 185 = -4*x - 4*x + 6*x + 7*q, -2*x - q - q = -40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of -349*u**5\/60 + 49*u**4\/12 - u**3\/3 + 101*u**2. What is the second derivative of j(c) wrt c?\nAnswer: -698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(1008) + 0)**2 - -1*sqrt(448)) + 0.\nAnswer: 8*sqrt(7) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -27990417 divided by 2153109?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 26 and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 946*l - 185*l - 187*l - 190*l - 170*l - 211*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand b - 2*b + 5*b + (0 + 1 - 2)*(0 + 5*b + 0).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a**2 + a**3 + 16*a**4 - 4*a**2 + 4 + 3*a - 3*a**4 to y*a**3 + t + o*a**2 + w*a**4 + v*a and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1797 - 59*b - 1797 - 12*b.\nAnswer: -71*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -618*t**2 - 472*t**2 + 5 - t + t + 1099*t**2 - 5.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58416876 is divided by 10272?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 39, -0.5, 3065, 0.\nAnswer: -0.5, 0, 5, 39, 3065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkqppppppnnp. Give prob of sequence nppq.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-45)\/10*(-3 - 7\/(-3)). Suppose -2*s - 16 = -o*n, -2*n - 5*s = -2*s - 15. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*h - 886 - 314. What is the common denominator of h\/2205*(-6)\/1 and 50\/77?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 11231 + -503?\nAnswer: 10324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1143.6 - 1002. Let h = -99 + f. What is h rounded to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*b + 306462 = -256149 - 314889. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 9, 1, 158, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -201*g**4 + 166*g**3 - 23748?\nAnswer: -804*g**3 + 498*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1109 * 13\nAnswer: 14417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 264, 313, 386, 471, 556, 629, 678, 691?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*r - 7*r + 28. Solve 0 = r*s - 7*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35 - (9 + -64 + 121)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -136.3 and 0.05.\nAnswer: -6.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -55\/647 or -10358?\nAnswer: -10358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.9?  (a) 13  (b) -1501  (c) 0  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1890 - 1349. Let g = k - 1606\/3. What is the common denominator of g and 56\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180*d - 205*d + 157800 = 0. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of v**6\/12 + 4*v**5\/15 - 2*v**4 + 11*v**3\/3 - 35*v**2\/12 + v - 9606. Determine z, given that d(z) = 0.\nAnswer: -6, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 414\nAnswer: 1\/414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of -c**3\/12 - 13*c**2\/4 - 165*c\/4 - 8950. Factor h(b).\nAnswer: -(b + 11)*(b + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1041 - -1046. Suppose -h = b*h - 612. Calculate the remainder when h is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -5393*l + 241. Let z be n(-23). What is z rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 14*v**4 + 8*v - 12*v**4 + 33*v**3 - 6*v as p*v**3 + y*v**2 + s*v**4 + f*v + j and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of -1\/30*x**4 + 0 + 0*x**3 - 8*x**2 + 0*x - 1\/150*x**5 + 1\/300*x**6. What is h in f(h) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*p**5 - 53832146*p**3 - 17201813*p**2 + 6.\nAnswer: -120*p**2 - 322992876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 4*n = 192, -2*j + j - n = -46. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 - 71384222821.\nAnswer: -71384222821.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -13*x**4 - 111*x**3 - 175*x**2 - 27*x. Let k(n) = 66*n**4 + 555*n**3 + 876*n**2 + 135*n. Let m(d) = 24*j(d) + 5*k(d). Factor m(t).\nAnswer: 3*t*(t + 3)**2*(6*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.77945146 to 2 dps.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/4 - (4 + (-78)\/24). Solve j = -0*o + 15*o - 15 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 4*d**2 - 6*d + 60. Let p be x(10). Suppose -5*r + p = -310. List the prime factors of r.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 36802?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -11*q + 382. Calculate the remainder when 108 is divided by k(27).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12\/9*-3 + 756\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29 - 3. What is the units digit of (1\/2*g)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of -3*o**4\/4 - o**2 - o - 1. Let z = -18304 - -18303. Determine i(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**26*t*(t**(9\/8)*t)\/t*(t*t**(-20)*t)\/(t**26*t))**(1\/26) assuming t is positive.\nAnswer: t**(-135\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -44 - 0?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the third derivative of -b**6\/60 - b**5\/30 + b**4\/12 + b**3\/3 + 16*b**2. Let o(i) = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*s = -31*s. Let o be 5\/10 - (s + (-1)\/(-2)). Solve -40 = -4*v - o*q - 4*q, -3*q + 35 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 39*g + 286. Calculate v(-10).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z**2 - 355618 + 355618 - 84*z.\nAnswer: 2*z**2 - 84*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - 1)\/(4\/(-14)). Suppose -2*d = -f*d + 10. Suppose -3*c + 36 = -d*p, 5*c = -4*p + 2*p + 44. Solve m = 5*w + 17, 4*w + c = 5*m - 3*m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1015 - 2793. Let c = 1685 + -2648. Let z = c - q. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -175 + 203. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/8930 and 75\/60572.\nAnswer: 14234420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7896.099m in millimeters?\nAnswer: 7896099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (9373\/(-5356))\/(1*-35)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - 221*b**2 + 242*b - 2021. Determine t(220).\nAnswer: 2819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 2 = f + 7, 2*f - 4*l = -10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 449 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - 0) + 2\/1. Solve 15 = -7*n + h*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2 - 3*r + 60. Calculate s(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 - (0 - (0 - -3597)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 637.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.1, 0.177 in increasing order.\nAnswer: -0.1, 0.177, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -5*z + 6, -2*z - 2 = 3*q - 1. Sort -2, q, 188 in increasing order.\nAnswer: -2, q, 188","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/13, 1, 0.8 in ascending order.\nAnswer: -2\/13, 0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -6. Let d be 10\/3*m\/2. Let l(r) = d + 4*r - 3 - 3*r - 7. Determine l(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4144608 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q - 811 = -12*q + u, 2*u = -q + 214. Suppose 0 = -23*y - q - 3. Which is the third smallest value?  (a) -3  (b) -8  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 - l**2 - 8*l + 1. Let s(v) = -5*v**3 + 14*v**2 + 26*v - 5. Let d(q) = s(q) + 3*z(q). Calculate d(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(120)\/(2*sqrt(5)) + (sqrt(96)\/sqrt(2))\/sqrt(2))\/((-6*sqrt(32) - sqrt(8)) + sqrt(1152) + sqrt(1152) + 1*sqrt(1152)).\nAnswer: -5 + 3*sqrt(3)\/46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of -k**10\/151200 - k**9\/60480 + k**5\/30 - k**2. Let c(l) be the third derivative of r(l). Find f, given that c(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 4*h - 126309 + 6341, 30007 = h + 5*w. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -30790403 and 4.\nAnswer: -123161612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32 + 8 + 13 + 1779*h**2 + 11)*(3 - 2*h**3 - 3).\nAnswer: -3558*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010011422 (base 5) in base 2?\nAnswer: 111110000000111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 18*d - 16*d + 69222, 4*y + 3*d - 138416 = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*j - 435 = 41*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 78 = -7*o. Let t = o + -21. Suppose -13*k - 380 = -t*k. Calculate the remainder when k is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 999019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14.25 + -10.25. What is the closest to 1.9 in 3, z, -5, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/72320 and -93\/800.\nAnswer: 361600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from gttggtddgggngt.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -338, 1, 2, 420, 3 in descending order.\nAnswer: 420, 5, 3, 2, 1, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -391 or 3.7511?\nAnswer: -391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1200) - sqrt(12)) + (sqrt(12) - (sqrt(12) + 1)*-3) - (sqrt(30)\/sqrt(10) + -4 + (sqrt(2187)\/sqrt(9))**2).\nAnswer: -236 - 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 3 + 5. Suppose -4*s + 7 = -a. Let v(x) = -2*x**2 + 3*x - 3*x + 5*x**s. Let t(g) = -2*g. Give v(t(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/((11 - 11) + 4\/90). Let w = -84 - i. What is the smallest common multiple of 10 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes after 4:50 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pkpppppp. Give prob of picking 2 p and 1 k.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 0*u + u + u - 9 - 4*u. Let r be y(-7). Suppose 0 = r*b - 61642 - 88358. Round b to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z - 1. Let y be s(3). Suppose 5*o + 3*a - 89 = 0, 6*o - 65 = o + 5*a. Let w = o - 8. Solve x + 2 = -l + 1, y*x + w = l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23191 (base 10) to base 11.\nAnswer: 16473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10655.76 centuries in millennia?\nAnswer: 1065.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + -3 - -35 - (53 + 7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -2430.87419 to the nearest 10.\nAnswer: -2430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k + 42. Let m(w) = 10. Let q(o) = -5*m(o) + v(o). Calculate q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c - 3. Let w(g) = -6*g**2 - 14*g + 23. Let x(u) = -5*u**2 - 13*u + 21. Let l(k) = 4*w(k) - 5*x(k). Calculate -26*j(t) + 6*l(t).\nAnswer: 6*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2709 and 10836?\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 33432*u**2 + 2 + 20*u + 13*u - 35*u.\nAnswer: 33432*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3 - 258*y**2 - 261*y.\nAnswer: 3*y*(y - 87)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 0*r + 681 = -5*c - 0*c + 694, 0 = -2*r + 3*c - 26 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-17 + 4 - 165 - 339)*(-2*w**4 - 3*w**4 + 4*w**4) in the form v*w + p*w**4 + g*w**2 + o + n*w**3 and give p.\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -64284, -128582, -192874, -257154, -321416, -385654, -449862?\nAnswer: -514034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u. Let h(p) = 2*p**2 + 1734078*p - 1. Give d(h(o)).\nAnswer: -4*o**2 - 3468156*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15718051 is divided by 567.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-66)\/1*((-4)\/4 - -2). Let d = u - -67. Suppose 0 = l + 2. Put l, 4, d in ascending order.\nAnswer: l, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -144b (base 14) in base 3?\nAnswer: -11221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15 - -29. Let r = x + -11. Solve 5*t = f - 1, 0*f - r*f + 3 = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101567100 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1197 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -5*i + 15. Calculate the remainder when 27 is divided by c(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*d**3*m**2 + 16*d**3 - 2*d**2*m + 49*m**2 wrt d.\nAnswer: -42*m**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3657588563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 137693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 473, 1681, 3687, 6485, 10069?\nAnswer: 14433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*l + 11 + 17 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -26*t**3*y**2 - 6*t**3 + 19*t**2 - 4*y**4 with respect to y.\nAnswer: -52*t**3*y - 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 494.9473 kilograms in milligrams?\nAnswer: 494947300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 122911137 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 870379188?\nAnswer: 2, 3, 7, 31, 334247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**2 - 14*s + 14. Let j be i(12). Let y be (-16)\/(-140)*j\/(-4). What is the nearest to -2\/9 in 2\/9, -1\/6, y?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w - 13*w = 10. Let p(b) = -4*b**2 - 25*b - 7. Let d be p(w). Suppose -4*s + d = 6. Solve 0 = -s*t - 0*t - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 8, 4 in descending order.\nAnswer: 8, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dood when four letters picked without replacement from glomgodgggggdggmo?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + -2 + 6\/2. Let l = h - -27. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1308171220 to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -732 (base 9) to base 4.\nAnswer: -21110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 10\/(-4)*(78\/(-15) - 2). Let u be (-2 - (-3 + 0)) + 2. Suppose i = -k - 3*k + 21, 0 = -u*i + 3*k + z. Let g(w) = -w**2 + 9*w - 1. Calculate g(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 990dfc (base 16) to base 5.\nAnswer: 10031434323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2460\/(-6150) - (-2 + (-51)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10)\/80*4*(-24)\/(-20). Sort 0.25, -2, t.\nAnswer: -2, t, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 144\/(-27) + 1\/3. Let y(q) = -q - 1. Let m(j) = -2*j + 11. Let p(r) = -r + 7. Let w(v) = 5*m(v) - 8*p(v). Let k(u) = w(u) - 3*y(u). Calculate k(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = v - 16, -5*o = v - 0*o + 24. Let k be -1*(-1 + -2) + 0. Suppose -k*n - 1 - 11 = 0. What is the closest to 0.2 in n, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of -4*h**3\/3 + 696*h**2 - 121104*h + 338. Determine o so that y(o) = 0.\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8031 - 8027. Solve -5*a + 12 = 7, 0 = -g*t + 4*a - 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/3 + (-1)\/3. Let w(r) = r**3 - 14*r**2 + r - 14. Let n be w(14). What is the third smallest value in n, 1\/6, x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3568311?\nAnswer: 3, 396479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -425 < -11077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + k - 143, 3*k - 2*k = -4*l + 563. Suppose -l = -11*t + 7*t. Calculate the remainder when 120 is divided by 4*(-1 + 0) + t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 - 2)*(-2 + 2 + 2)*(-2*o**2 + 12*o**2 - 2*o**2)*((-1 + 2 - 4)*(8 - 6 + 4) - 2 - 1 + 1 + 1 + 1 - 1).\nAnswer: 912*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 21*x**2 - 13*x + 2. Let d = -13126 + 13113. Let u(n) = 11*n**2 - 6*n + 1. Give d*u(t) + 6*w(t).\nAnswer: -17*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 12504\/(-23445) + (-627)\/(-1260)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32)\/360)\/(4\/10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((2 + sqrt(1900) - sqrt(1900)) + 1)**2 - (-5*sqrt(152)*1)\/(-1*sqrt(32)).\nAnswer: -5*sqrt(19)\/2 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(-2\/5))**(2\/9))**(1\/22) assuming l is positive.\nAnswer: l**(7\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(800))\/sqrt(4).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -67146 divided by 1?\nAnswer: -67146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 20 = 6*a. Suppose -10 = -a*l - 0. Solve m + 20 = -4*j, 2*m - l*j - 10 = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -17210, 13 in increasing order.\nAnswer: -17210, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 10:49 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 2*h + 8 = 0. Let f be 929\/h + (-6)\/24. List the prime factors of 3\/(-5) - f\/(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10628)\/45169*(-9)\/(-4)\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 3483486040.\nAnswer: 3483486040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34091 and 38761?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -3*n - 22, -2*v - 7*n - 2 = -2*n. Let q(t) = t**3 - 4*t**2 + 3. Let c be q(v). Find the second derivative of h**4 + 2*h**4 - 2*h**4 - c*h wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 56 = 10. Calculate the greatest common divisor of 23 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6138)\/1188)\/(1\/6). Suppose 10 = 5*j - 0. Put -4, -2, b, j in decreasing order.\nAnswer: j, -2, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 PM and 8:55 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -630 = -8*d + 13*d. Let a = 336 + d. Differentiate -209*r**2 + 1 + a*r**2 + 8 wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23333.93719 rounded to the nearest 10?\nAnswer: -23330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 - 3962*d + 238385. Determine q(61).\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 25 + -21. What is the second smallest value in 0.9, c, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -2426*a + 77. Let c(g) = -4853*g + 167. What is 6*c(b) - 13*m(b)?\nAnswer: 2420*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 385 - 345 - 107 + 67 + 30*d**2.\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20 - 35. Let h = v + 15. Suppose 8 = 2*w - h*w. Solve 4*g = -0*g - w, -a - 3*g + 1 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 PM and 3:41 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 346.824764 and 0.1082?\nAnswer: 346.716564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 72251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 253026642?\nAnswer: 2, 3, 11, 3833737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -139\/85771?\nAnswer: -139\/85771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 112*v**3 + 114*v**3 + 16.\nAnswer: 2*v**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 154\/((-75460)\/(-30429)) + -62?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(300) - sqrt(300) - (2*sqrt(243))**2.\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 - 4*k**2 + k + 4. Give p(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 130508478 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = 40 - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {a: 1, v: 3, n: 1, f: 2, c: 3, r: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + 3*g + 1. Let n(x) = 3*x**2 + 1 + 5*x + 4 + 8*x + 2*x**2. Suppose -s = 4*p + 8, -4*s + 2*p + 34 - 12 = 0. What is s*n(u) - 18*l(u)?\nAnswer: 2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -896632 - -1294431. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 49340025 = -6*l + 8*l, 3*c + 74010015 = 3*l. What is l rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 48579*y. Let h(v) = -4*v. What is t(h(w))?\nAnswer: -194316*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -9*1 + 1 + 0. Let y(r) = 2*r - 16 - 2*r + r - 3*r. Let w be y(b). Solve -d + 4*d = w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 109051068  (b) -2\/3  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - 12*d**2 - 311*d - 839. Give i(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*s**2 - 2*s**2 - 2*s**2)*(s + 3*s - 3*s) + (3*s**2 + 3*s - 3*s)*(-1720 + 1720 + 386*s) as b*s**2 + l*s + j + c*s**3 and give c.\nAnswer: 1156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 - 2)*(-257*r**3 - 205*r**3 + 369*r**3).\nAnswer: 372*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 - i**2 - i + 1. Let y = 52 - 46. Let b(r) = -9*r**3 + 6*r**2 + 9*r - 6. Let f(n) = y*j(n) + b(n). Factor f(m).\nAnswer: -3*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of p**4\/12 - 7*p**3\/6 - 80*p**2 + p - 1. Let t be r(-10). Let b be (-3)\/(1 + 2\/(-1)). Sort b, -4, t, -5 in ascending order.\nAnswer: -5, -4, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -4*w**3 + 384*w**2 + 105424*w + 209280 = 0.\nAnswer: -120, -2, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 to the power of 1\/2, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 AM and 6:09 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 - 2) + (8870\/370 - 37).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 4*n**3 - 31*n**2 + 37*n - 106. Calculate h(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1938 a factor of 388510860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/3  (b) -12  (c) -3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1068\/(-156) + 7)\/(-1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 + 1249*j + 7472. Calculate x(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83 - 57 - 5*y**2 + 36 - 59.\nAnswer: -5*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7864.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of -3*p**5\/20 - 2*p**4 - 5*p**3\/2 + 21*p**2 + 95*p - 2. Factor g(k).\nAnswer: -3*(k - 1)*(k + 2)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1177 or -1165?\nAnswer: -1177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 160 = -0*b + b, -3*b = -4*p - 220. Let v = -19 - p. Suppose 5*h - 4*f = 59, -3*h + 3*f = -f - 37. Calculate the greatest common factor of h and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.10494 rounded to three decimal places?\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 224*t**2 - 238*t**2 + 16*t**2 - t**3 + 37*t - 2*t**4 - 1 + 47*t as z*t**3 + c*t + r*t**2 + b*t**4 + q and give c.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c*(c*c**(8\/17)*c)\/c*c))\/c)\/c)**44*((c*c**(-26\/7))\/c)**(-48) assuming c is positive.\nAnswer: c**(-2192\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, p: 1, d: 2}. Give prob of sequence tt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -330 + 4248.9845.\nAnswer: 3918.9845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -179 - -479. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130585 = 564*y + 127765 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4.51, -135, -1\/2, -1\/4, -0.1, -4\/3?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 319 (base 13) to base 9.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -283*f + 80*f - 703*f in the form i*f + q and give i.\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-45280)\/(-12) - (4\/(-6) + 2)?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 331247\/106 - 3125. Is -1 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {s: 3, c: 1, h: 2, o: 11, t: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q - 1. Let u(i) = -i + 2. Determine l(s) + u(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 102413447 - -5?\nAnswer: 102413453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 264 times -30.9\nAnswer: -8157.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3\/2*u**3 + 6 + 15\/2*u**2 - 12*u = 0 for u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 6*v - 356. Let d = v - 26. Round d to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -3*p - 124, 5*j + p + 2*p + 292 = 0. Let m = 48 + j. Let d be ((-4)\/(-3))\/(m + 2). What is the third biggest value in 7, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1\/3, -189, -0.2, 0 in descending order.\nAnswer: 3, 1\/3, 0, -0.2, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, v: 1, d: 2, s: 1, e: 2, g: 1}. Give prob of sequence ed.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.4 - 0.2. Let q = i - 0.2. Let t be (-20)\/(-30)*2\/4. What is the second biggest value in q, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, l: 2, j: 10, g: 1, i: 3}. What is prob of sequence ljlg?\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (78\/130)\/(6\/(-220))*(-3)\/(-2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 4*x - 48 = 0, -2*x + 12 = 89*j - 87*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3241\/60 + -325\/6. What is the common denominator of p and -41\/198?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -7*b**2 - 2*b + 2. Suppose -7*c = -11*c + 3*g - 8, -5*c + 4*g = 10. Let d(i) = 13*i + 28. Let u be d(c). Determine p(u).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/p**(3\/16))**(-50)\/(p\/p**(2\/37)*p**(2\/19)) assuming p is positive.\nAnswer: p**(-515587\/5624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - w = 63, b - 5*b - 54 = -w. Let f = -8 - b. Suppose 0 = -f*j - 124 + 819. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -289*l - 1131. What is r(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 2*a - 10 = -4, -2*v - 4*a = -24. Suppose -5*c = -3*m - 78, 4*c - 58 = -v*m + 4*m. What are the prime factors of c?\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 18008 and 1024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22.21*-10120.\nAnswer: 224765.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 5*u - 35, -u - 4*h = -0*u + 13. Suppose -3*b + b = 4*n - 6, u*b - 5*n + 35 = 0. Let a = b - -7. Calculate the remainder when 5 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -134 + 79. Let n = -20 - g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*z + 3*q + 48, -5*q - 3 = -49*z + 47*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-2)*-6 + 5848\/(-1032). Which is the nearest to 0.7?  (a) -1\/3  (b) y  (c) 0.3  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10231410 - -9632.98\nAnswer: -10221777.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 501017 is divided by 5032.\nAnswer: 2849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 602.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/4 + 11*o - 43\/4.\nAnswer: -(o - 43)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000003084 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 83.46073 hours to seconds.\nAnswer: 300458.628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of l**2\/2 - l - 99. Suppose -4*g + 7*g = -6. Let m(i) = -i. Determine g*u(r) + m(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - -452?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 15884, 31464, 47044, 62624?\n\"Answer: 15580*d + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 2. Let k be (-1)\/2 - (-3)\/(-6). Let t = 7 + -5. Which is the closest to m?  (a) -0.2  (b) t  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 121*j + 2. Let q be c(1). Let a(l) = -92 + q + l - 93*l. Is a(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the third derivative of -r**10\/30240 + r**8\/576 - r**7\/168 + r**5\/4 + r**4\/4 - 4*r**2 - 45. Let j(u) be the third derivative of i(u). Factor j(g).\nAnswer: -5*g*(g - 2)*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3771198 * -0.2.\nAnswer: 754239.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12 - -17. Let m be (-1)\/(-3)*3*(-12 - -15). Put 4, a, m, -3 in ascending order.\nAnswer: -3, m, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t + 8. Suppose -24 = 5*o + 2*v, 3*o - 3*v = -27 - 0. Let i be q(o). Find the third derivative of 2*a**2 + i*a**5 - 2*a**2 + 6*a**2 - 3*a**2 wrt a.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*o**5 + 340*o**4 - 2481*o**3 + 301248*o**2 + 63.\nAnswer: 300*o**2 + 8160*o - 14886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the second derivative of 15*s - 1\/6*s**3 - 1\/20*s**5 + s**2 + 5\/12*s**4 + 0. Calculate h(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2748211 is divided by 118?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 682 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -7796, -14612, -20424, -25232, -29036, -31836, -33632?\n\"Answer: 502*a**2 - 8322*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -23, -4, 49, 154, 329, 592, 961?\n\"Answer: 3*f**3 - f**2 + f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-201 + 68 + 82)*(9*t + 2*t + 5*t + (0 + 4 - 3)*(22*t + 0*t - t)).\nAnswer: -1887*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2*v**3 - 10*v**2 + 8*v + 46. What is the units digit of d(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -2*c - 0*c + 7, 0 = -i - 3*c. Suppose 14 = s + 2*h, -11 - i = -2*s + 3*h. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 - 10*x**2 - 9*x + 4. Let v be u(-9). Let y = 11 - v. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -9\/9953080?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -27 + 44. Let u(i) = i - 9. Let q be u(10). Calculate the remainder when -1*147\/(-3)*q is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c71 (base 14) in base 3?\nAnswer: 10100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -2637.05593 to the nearest 10.\nAnswer: -2640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 82*k - 8. Let f(a) be the first derivative of -a**2\/2 + a - 7478. Give 8*f(q) + m(q).\nAnswer: 74*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -0*p - 2*p + 8, 7 = p - 4*a. Suppose -p*s = 4 - 13. Let n = s - 1. Solve 3*v - 5*w = 2, v - 2*v + n*w = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of -q**4\/4 + 11*q**3\/3 + 4*q**2 + q - 7. List the prime factors of r(11).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 0*m + 5 = m, 75 = 5*i - 5*m. Suppose j = -d - 1, -i = 2*j - 0. What is the third derivative of 3*n**3 + n**2 + 2*n**d - 3*n**3 wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 15*p + 2. List the prime factors of b(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - d - 4 = -3*d, 0 = 4*f + d + 4. Let c be (-6)\/f - (1 + 0). Let s = -421 - -423. Solve -3*t - 5*y = 5, -t + 0*y - s = c*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -221175 by -44235.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the third derivative of -c**6\/120 + 7*c**4\/24 + 4*c**3\/3 + c**2. Let y(d) be the first derivative of s(d). Differentiate y(l) with respect to l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 3*r = 40 + 16, 227 = 32*d - 41*d + r for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 837 is divided by 267?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1285 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -2036 - -2034 - (26\/(-4))\/((-2)\/(-4))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52590 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.0181915 or -4?\nAnswer: -0.0181915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13 + 8. Let l = -3 + 8. Sort 2\/11, c, l.\nAnswer: c, 2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 116 = 11*z - 6*z, 8*x = -5*z + 3*x - 95 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6364654097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -2*w - 2, -2*w + 10 = -7*w - 5*l. What is the closest to w in 4, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 705, 704, 703?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 93\/(-2)*((-301)\/(-43))\/(210\/(-20))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y - 29. Let d be n(27). Let u be d\/(4 + (-84)\/18). Solve 2 = 5*f + u*j + 15, -33 = 5*f - 2*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -20*n + 2252. Let g be z(112). Solve -4*f - 4 = 5*p - 16, -p = -4*f - g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -5*r - 2*m - m, 3*r + 5*m = 17. Solve -v - 2*k = -k, 2*v = -r*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 - 9*s - 26. Let f be k(11). Let j be 4*(-12)\/(-16) - 1. What is the nearest to j in 1\/4, 0.1, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1\/2540 - 123197\/17780. Suppose -5*k + 6*k = 6. Find the common denominator of s and 5 - (2\/k)\/((-1)\/3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -3959*q**2 + 296*q. Let g(p) = 40*p**2 - 3*p. Determine -296*g(i) - 3*h(i).\nAnswer: 37*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from {j: 1, l: 3, u: 3, x: 6}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28737*o**3 + 3161*o**2?\nAnswer: -172422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4}. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*g**2 - 3*g - 18*g**2 + 4*g.\nAnswer: -15*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 42*i + 2. Let b be v(-6). Suppose -3*g - 5*m = -7*g - 425, 2*g + 5*m = -205. Let p = g - b. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppd when three letters picked without replacement from {p: 8, d: 1, t: 4, q: 1, l: 1}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*j**2 + 42*j**2 + j**3 + 1164*j + 2 - 1163*j + (0*j**2 - 3*j**2 + j**2)*(6*j - 2*j - 2*j).\nAnswer: -3*j**3 + 35*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r**2 - 4*r + 4. Suppose -30 = -5*f - s + 6*s, 3 = -s. Is g(f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/6*(-9)\/27*8. Find v such that -2*v**3 + 2*v**2 + 3*v**3 + b*v**3 - 6*v**2 - 48*v - v**3 = 0.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-6)\/9*6)\/(-2). Suppose -5*s - 7 = -q. Is (s + -36)\/(-1 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 139067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2015827 to the power of 1\/2, to the nearest integer?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8342 - 8340. Let w be 12\/9*(0 - -3). Sort -1, o, 1, w.\nAnswer: -1, 1, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 167 + -162. Solve 5*m = -3*y + 18, d*m - y - 14 = -0*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 3*v - 4 = v, 0 = -k + 3*v + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**3\/11 - 2560*i**2\/11 - 41344*i\/11 - 165888\/11 = 0. Calculate i.\nAnswer: -8, 1296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a - 6*a = -40 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*b + 23 = -22 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 5*m**3\/4 - 18389*m**2\/4 - 615993*m\/4 - 122463\/4 = 0.\nAnswer: -33, -1\/5, 3711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/o**(-1)))**9*(o**(2\/7))**(-39) assuming o is positive.\nAnswer: o**(-141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of -o**2\/2 + 1. Let x(q) = q - 1. Suppose 68 = 4*k + 12. Let f(c) = 6*c - 7. Let l(n) = k*x(n) - 2*f(n). What is a(l(u))?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**15)\/p)**48\/((p**28*p)\/p**20))**(-45) assuming p is positive.\nAnswer: p**(-31995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/(-3 - (-2)\/1). Suppose 2*c + c = m. Suppose -5*a - 3*v = -145 + 50, 4*a + 2*v - 74 = c. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 144*v. Let s(t) = -125*t + 1. Determine -7*s(r) - 6*w(r).\nAnswer: 11*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2194010783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 4*p + 5. Let c(u) = -7*u - 10. Let r be 54\/(-4)*(-330)\/99. Suppose r*d = -5*t + 40*d + 5, 2 = 4*t + 5*d. Calculate t*c(q) + 5*j(q).\nAnswer: -q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1712528?\nAnswer: 2, 107033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**2 + 2 + 0 - 4)*(-431*t - 22 + 230*t + 216*t).\nAnswer: 30*t**3 - 44*t**2 - 30*t + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 14*t + 18*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -10180*j - 20314. What is o(-2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/(-6) + 2\/(-4). Suppose d = -4*a + 3*i - 5*i + 188, 3*i - 236 = -5*a. Let u = -29 + a. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -152  (b) -1\/4  (c) -2\/3  (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 e, and 1 v when three letters picked without replacement from {f: 4, e: 1, k: 2, v: 6, y: 3, q: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -11, -0.06, 2\/3, -0.2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8357.\nAnswer: 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/27))**(-9)*((z\/z**(-1\/7))\/z)\/(z**(-4\/19)*z) assuming z is positive.\nAnswer: z**(-524\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 22*c - 11. Let b(v) = -11*v + 6. Determine -11*b(p) - 6*g(p).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 109239*g**3 + 257*g + 26985315 with respect to g.\nAnswer: 327717*g**2 + 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (135\/18)\/(-15)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22.38 + -0.33. Let l = 49 + -27. Let x = l - s. Which is the biggest value?  (a) 5  (b) x  (c) -5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -92955.2 + 93808.681. Let x = 853.1910052 - r. Let g = x + 0.29. What is g rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29137951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 13 = o. Let l be -3*(o\/3 - 1). Solve -2*j - 4*h = -3*j + l, 0 = 4*j + 5*h + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 104*w + 2376. Let o be q(-21). Calculate the highest common factor of o and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -532 (base 7) in base 11?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (20\/8)\/(1 - 131\/132). Suppose 4*f + f + w = 4*q, 408 = 5*q - 4*f. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 l when three letters picked without replacement from {p: 4, l: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.652 - 0.152. What is the nearest to 2 in -3\/4, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = -5*g - 2*j, 0 = -5*g + 4*g + 5*j - 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 80 and 4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, r: 3, p: 2, x: 2}. What is prob of picking 1 r and 2 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b + 6*b = -3*a - 1291, -2*a - 10 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 13203 = 5*g, 5*k + 2*g = 54410 + 11524. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**4*h)\/h**(-2\/11))\/(h**(-2)\/h**(3\/2))*(h\/h**(-2\/23))\/(h\/(h\/h**(-8)))*(h\/(h**(-3\/4)\/h))\/h*h**0 assuming h is positive.\nAnswer: h**(19753\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -5*d**2 + 8*d - 2. Let r(v) = -6*v - 24. Let i be r(-3). Let b(p) = p**2 - p. Calculate i*b(l) - g(l).\nAnswer: -l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + 432?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.4 - 1.1. Let j = -80 - -84. Which is the closest to 1?  (a) -4  (b) j  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in fifty-one quarters of a second?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 7*r - 165 = 0. Let f = r - 7. Let n(o) = o**3 - 5*o**2 - 5*o - 6. Let v be n(6). Solve -4*a - f = -2*p, 5*p = a - v*a + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 - -2 - (2 + 0) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 4*a. Let t = 29 - 27. Solve 3 = -t*z + h, 0 = -a*z + 2*z - 4*h - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-1\/4))**9)**(-2\/19)\/(i**(-7)\/(i**(-11)\/i))**(1\/4) assuming i is positive.\nAnswer: i**(-149\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*q + 15 - 18 - 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -11*v**3 + 98*v**2 - 2*v - 10. What is j(10)?\nAnswer: -1230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 36 = 4*a, -s + 3*a = -2*a - 24. Solve 5 + 3 = -s*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -12, 5*s - 4*t = -8*t - 3. Suppose 377*b - 737 - 1525 = 0. Sort b, 5, s in decreasing order.\nAnswer: b, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pvvnpdvndnvnprpdpmd. What is prob of picking 3 v and 1 n?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 200 and 10540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (845\/7605)\/(1\/63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 15*m + 835. Let v be x(-56). Which is the closest to 10?  (a) 16  (b) 3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 PM and 7:04 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (21758\/2580 - 2\/20 - (-7)\/(-21)) + -50?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11916 divided by 2979?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-9)\/(-6)*(-96)\/(-9). Calculate the greatest common divisor of 64 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of q**7\/42 + 189*q**5\/20 + 19*q**3\/3 - 23*q**2\/2 - 4*q + 149. Find the second derivative of h(c) wrt c.\nAnswer: 20*c**3 + 1134*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 + 25*v + 9. Calculate z(-16).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 14 + 2 = 0. Let q = f + -4. Suppose q = -l - 2*j - 3998, -l + 5*l + 15995 = -5*j. What is l rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 less than 3983?\nAnswer: 4011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 AM and 11:40 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-2)*f)**(8\/3) assuming f is positive.\nAnswer: f**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert b5c42a (base 13) to base 14.\nAnswer: 7ca488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 v, and 2 u when four letters picked without replacement from ivvucuv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 191265, 191261, 191259, 191259, 191261, 191265?\nAnswer: 191271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -117, -96, -69, -36, 3, 48, 99?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(4\/9)\/(b\/(b*b**(-7)))*(b\/(b*b**0))\/b*b**(-3\/2)*b*b**(2\/3)*b*b**(-4)*(b*b\/(b*b\/(b*b**1)))**(-29) assuming b is positive.\nAnswer: b**(-1231\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2169 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 4*b**2 + b + 2. Let j(i) = i**3 - 27*i**2 - 12*i + 3. Let h(m) = j(m) + 5*y(m). Determine h(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 3*v = 4*v + 3, 3*v = u - 17. Suppose -u = 2*s, -9*n - 2*s = -4*n - 13. Solve -n*j + 6 = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1074*t = -1086*t + 72. What is the remainder when 13 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 165922380 by -22698.\nAnswer: -7310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (-2 + 4))*((-11550)\/(-132) - 55).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.33 + 0.83. Let i(m) = -m + 3. Let v be i(3). Which is the closest to v?  (a) -0.1  (b) 2\/11  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 5*m = 5, -5*s - 25 = -16*m + 19*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o + 1. Let y be t(5). Suppose 0 = -p - 0*p - y. Is (p\/4)\/((-3)\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(4\/5)*r\/(r\/(r*r\/(r\/(r\/(r**(-1\/4)\/r)))*r)*r)*r*r*r**(-10)*r**6 assuming r is positive.\nAnswer: r**(41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -3702, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 - 3*y - 5. Let s(c) = -5*c**2 + 13*c + 20. Give 4*s(w) + 18*z(w).\nAnswer: -2*w**2 - 2*w - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 57201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**20*c*c)\/c)**3*(c*c\/(c**39*c)*c*c)**(3\/4) assuming c is positive.\nAnswer: c**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + -4*(-4 + sqrt(405)*2))**2 - (5 + 2*(-1 + sqrt(80)) + -1))*2.\nAnswer: -5200*sqrt(5) + 52484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1731 - 1029. Suppose 5*m = 8*m - v. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7640 divided by 5\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*n + 10250 = -55*n + 479*n for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 61 and 9.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 41 and 2.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3306 + 294*t + 3383 - 106*t - 6850)*(3*t + 2*t - 4*t).\nAnswer: 188*t**2 - 161*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -93, -69, -45, -21, 3?\n\"Answer: 24*n - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-5)\/(m*m**6))**(-16))**(-1\/10) assuming m is positive.\nAnswer: m**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 349670793 is divided by 301?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x. Let h(w) = -21712*w. Let p(a) = -65*a. Let b(d) = 6*h(d) - 2006*p(d). Determine b(y(t)).\nAnswer: -118*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 11*u**3 - 22*u**2 + 15*u + 289. Let x(o) = 27*o**3 - 56*o**2 + 36*o + 719. Let r(m) = -22*c(m) + 9*x(m). Calculate r(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -376, -348, -332, -334, -360, -416?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiijiiiijiijiijjii. What is prob of picking 3 j?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3280, -11689, -25708, -45331, -70552, -101365, -137764?\nAnswer: -179743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/25  (b) 0  (c) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of 0*y**2 + 0 + 1\/2*y**3 - y. Let j(b) = -b**2. Calculate g(j(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3062 is divided by 263.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n + 1. Let w(j) = -40*j + 13*j + 0 - 2 + 5*j - 3. Calculate 5*v(r) + w(r).\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -389 - -389.478. Let w = 27.888 - 27.81. Let n = j - w. Which is the closest to -0.7?  (a) -1\/5  (b) n  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51451613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*l - 2 + 2)*(2*l**3 + l**3 - 2*l**3) - 7*l**4 + 5*l**4 - l**4)*(0*l - l - 5*l).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1151 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-14)\/49)\/(3*5\/315)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/76 and 79\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-621 - 765 + 632 - 1029)*(4*h + 4 - 4).\nAnswer: -7132*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 132 = -4*x, -187*x - 78 = 4*i - 184*x + 33 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 6*h + 3. Let c be ((-6)\/(-4)*2)\/h. Solve -5*r + r - 20 = c*w, -r = 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -17 + 18 - (-5)\/(-4). Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -189.59 - -501.9. What is a rounded to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 7*u + 18 = 0, 6239*j - 4*u + 12 = 6241*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -563842, -563815, -563778, -563731, -563674?\n\"Answer: 5*i**2 + 12*i - 563859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -14592*y + 1269520. Determine s(87).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 AM and 3:16 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 133*p**2 - 386*p. Let k(n) = -194*n - 922 + 922 + 66*n**2. Let j(a) = -6*i(a) + 11*k(a). Find the second derivative of j(h) wrt h.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bzpdxdr. What is prob of picking 1 x, 1 r, 1 z, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 3*m = 0. Suppose m = 2*o - 2*x - 56, x = -o - x + 40. What is the smallest common multiple of 12 and o?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 61\/618 or 828\/17?\nAnswer: 828\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -2*g - 6, -3 = 5*y + 4*g - 1. Let j be (0 + 2)*(-1 - y). Suppose -4*t - 19 = -3, -4*o - 8 = 4*t. Solve 4 - j = -o*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, w: 11}. Give prob of sequence ww.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 178*x = g + 89*x + 86*x + 28, 0 = -x + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-1\/5)*r)\/r)\/(r\/r**(-2\/13)))\/(r**(-6)*r\/r**(-1\/5)*r) assuming r is positive.\nAnswer: r**(159\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -748 by 374.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10 - 72 + 34*f**2 + 114*f**3 - 113*f**3 with respect to f.\nAnswer: 3*f**2 + 68*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.029 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 22, 15, 5, -2 in decreasing order.\nAnswer: 22, 15, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from kcdqktdttrd.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/113223 and -115\/198.\nAnswer: 679338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-78)\/663 - 32258615\/(-85) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + 6*a - 8. Let u be p(6). Let x be 228\/(-48) - 2\/u. Which is smaller: x or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*m - 11*m + 11*m.\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 296642115 to the nearest integer?\nAnswer: 17223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/738 and -61\/33.\nAnswer: 8118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nndtndentdttneee. Give prob of picking 2 n and 2 t.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/(196\/(-21)))\/(-3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17213921 - -5010121. Round c to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + -2)*(4 + -2). Let z be (3 - (-6)\/o)\/(-2). Solve z = -0*x - x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -43 + 51. What is the smallest common multiple of s and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s - 21. Determine g(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000615834 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 1:45 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*i - 6 = -53*i. Suppose -i*y - y + 20 = 0. Factor -4*l**4 - 8*l**y + l**2 - 4*l**3 - l**2 + 7*l**5.\nAnswer: -l**3*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - -102322323333000?\nAnswer: 102322323332332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 558*l + 8. Calculate r(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -51011155 divided by -5447\nAnswer: 9365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 4*n. Let t(j) = -151*j**2. Determine z(t(o)).\nAnswer: -604*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 PM and 3:38 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 3*q**2 + 10*q + 9. Let x(f) = -f**2 - f - 1. Let m(g) = -b(g) - 2*x(g). What is m(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 273843247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*j - 8 - 8 = -22*y + 19*y - 1, 2*y - 10 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 4*c - 7274, -18*q = -21*q + c + 4370. Does 71 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-7)\/(-14)*(1 + 1). Which is greater: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -200221312333 - 2?\nAnswer: -200221313001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 9, i: 1, l: 2, f: 3, j: 2, z: 1}. Give prob of picking 1 j and 1 l.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - -110101110111010110111110000?\nAnswer: 110101110111010110111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**2 - i**2 + i**2)*(-5 + 8 + 13)*(-1234 + 828 + 659).\nAnswer: 8096*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1208971129541 and 0.02.\nAnswer: -1208971129540.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 631306343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 341933 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 794\/105 - 2\/(-6). Let l = y - 39\/5. Let i = l + 17\/42. What is the nearest to i in 0.3, 0.1, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4228 - 23641?\nAnswer: -18412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4743 by -32.\nAnswer: 4743\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 32841 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 216977*y**3 - 21185*y + 22.\nAnswer: 1301862*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -1752324*r + 1752323*r - 104 - 3*r**2 + 2*r**2. Calculate n(0).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1000100010001101 (base 2) to base 5.\nAnswer: 2104312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000413 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + 67 + 22 + -36?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-1*sqrt(110))\/sqrt(10))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {r: 1, v: 1, p: 2, c: 1, n: 1, j: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14268)\/(-517215)*(-10)\/8?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -21218817, -21218824, -21218831, -21218838, -21218845, -21218852?\n\"Answer: -7*n - 21218810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 500\/(-44) + (19 - (-1 + 9)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2288*g. Let s(y) = 5*y. Calculate p(s(v)).\nAnswer: -11440*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2. Let g(m) = -m + 4. Let w = -7 - -10. Let p(f) = w*g(f) + 7*c(f). Calculate the remainder when p(-9) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168071087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 + 9*g**2 + 7. Let y be s(9). Let z = 15 + -8. Let -5 - 2 + y*v + 4 + 5 - z*v**3 - 2*v**2 = 0. What is v?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -4*s**2\/5 + 1396040*s - 609039900500 = 0.\nAnswer: 872525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 77 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-3))\/((-2)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 4*j = -1, 2*x - 3*j = -0*x + 18. Suppose 0*z + x = z. Let k = z - 0. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 19\/4 of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3009547633.\nAnswer: 919, 1103, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1528 or -1527?\nAnswer: -1527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (19\/(323\/(-17)))\/(10\/(-6))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2251884 and 69.\nAnswer: 2251884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -50*o**2 - 28*o**2 + 0*o**2 as p*o + y + u*o**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -838*l + 834*l - 3*x = -280719, -l = 3*x - 70173. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-seven halves of a litre in millilitres?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -17234*c - 119. Let z(j) = 103402*j + 773. Give 13*h(b) + 2*z(b).\nAnswer: -17238*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -563, -1998, -4385, -7718, -11991, -17198, -23333, -30390?\n\"Answer: z**3 - 482*z**2 + 4*z - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 48 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.1, -4, 1.8, -12\/11, 5\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5722, -11443, -17164?\nAnswer: -22885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75209?\nAnswer: 75209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.4  (b) -6\/5  (c) -1\/2  (d) -1\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p - 9. Let t be q(11). Suppose 0 = 3*j + 4*f - 130, -f = -t*j - 2*f + 80. Calculate the remainder when j is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*l - 22519 = -22843 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 146982.2 rounded to the nearest one thousand?\nAnswer: 147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2884\/1854*18\/4. Solve r*s + 3 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 PM and 3:46 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -73 in 1\/4, -5\/6, 1, 0.3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, n: 8, s: 1, k: 6}. Give prob of picking 1 n and 1 k.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/(w\/(w*w**(-27)))*w\/((w**27\/w)\/w) assuming w is positive.\nAnswer: w**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(1700) + 1 + 2 - (-1 + sqrt(1700)*-2)) + -5 + (-5 + -1*sqrt(1700) - sqrt(1700)))**2.\nAnswer: -8680 + 600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14070 (base 11) to base 14.\nAnswer: 7438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/5  (b) -3  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 16944.\nAnswer: 16944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 14 = -5. Let d = 5151 + -5151. Suppose -2*f + d*l = 2*l - 98, 0 = 4*f + t*l - 197. Calculate the remainder when f is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 10 = -2*c. Suppose 0 = 3*v + 2*v + c, 0 = 4*m + 4*v - 4. What is the third derivative of m*h**5 - 5*h**2 + 2*h**5 + 3*h**5 - 5*h**5 wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qwqwqwwwwwwwqq?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -3  (b) 545\/18  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (126 - ((-18 + -7 - -6) + 32)) + -8.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 113583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 2*j = 23 + 29, 35 = -5*i - 5*j. Let r(u) = -2*u - 13. Let k be r(i). Solve 3*t = -0*t + q + k, 0 = 2*q - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102*j + 3 = -47*j - 52*j. Which is the second biggest value?  (a) 0.232  (b) -0.2  (c) -5  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 4*p - 12, -p = -n - 3 - 0. Let d be n + 9*(-4)\/(-6). Calculate the highest common divisor of 18 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -20.058486409 to one decimal place.\nAnswer: -20.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 13418984699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the third derivative of -u**5\/5 + 17*u**2. Let w(i) be the first derivative of i**3 + 5. What is w(n(c))?\nAnswer: 432*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (((-50)\/10)\/25)\/(4\/10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -168*r**2 + 13111*r - 548. Give y(78).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 34\/(-6) - (-1)\/(-3). Suppose 11 = 3*t + 11. Let h(r) = t*r**2 + r**3 + 11*r**2 + 7 + 2*r**2 + r - 7*r**2. Give h(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -6, -t = -0*t + 5*b + 14. Let n be t - 2 - (-9)\/3. Solve 9*f = n*f - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 + 14)*-1*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of -h**5\/20 + h**4\/2 - 2*h**3\/3 - 2*h**2 - 2*h. Let b be n(5). Let a(l) = l**2 + l - 1. What is the units digit of a(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 71 - -55. List the prime factors of (-79)\/(-9) + 28\/t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**4\/2 - 49*y**3\/2 - 229*y**2 + 560*y = 0. What is y?\nAnswer: -35, -16, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -117649884.46 plus -0.04?\nAnswer: -117649884.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 1\/2, 0.4, -1974, -0.14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 3*b**2 + 156*b + 1260. Determine l(-42).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*g - 30. Let f = 3001 - 2969. Calculate the remainder when f is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 + -4178?\nAnswer: -4183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u + 15 + 3 = 0. What is the common denominator of (-4)\/6*(u - (-595)\/20) and 55\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -3*d - 7 - d**3 - 4 - 4*d + 10*d**2. Let t be z(9). Let m = t - 2. Solve -v + m = 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19 - -24. What is the derivative of -11*f**2 + x + 11*f**2 - 10*f**4 + 6 wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 + 24*w**2 - 71*w - 1166. Calculate m(-25).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20183 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x**2 - 101*x + 1014. Let j be b(13). Solve -124 + 397 = j*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -19  (b) 5  (c) -2  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h + 435 = -8*h. What are the prime factors of h?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1966, -7988, -18072, -32224, -50450?\n\"Answer: -r**3 - 2025*r**2 + 60*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7064 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 9\/144*16 + (1 - 143)\/(-2). What is the greatest common divisor of x and 2988?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 22 + 7011640?\nAnswer: 7011662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = 5*b + 5*c - 10, 3*c = -5*b + 14. Calculate the remainder when 32 is divided by (-110)\/(-15) - ((-8)\/(-6))\/b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 3*a - 33. Let m be c(16). Suppose m = 5*z - k, 8*k = 3*z + 7*k - 7. Solve -z*f = -0*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*b**3 - b**3 + 135 + 3*b**2 - 7*b**2 + 2*b - 266 + 133 in the form q*b + m*b**2 + y + s*b**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4.1, 53, -2, -6, -3?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -26*c**3 + 14*c**3 - 8 - 6*c + 11*c**3 + 8*c**2. Determine x(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 - 2)*(-76*r - 806 + 806).\nAnswer: 228*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 223.537 - 0.537. Let u = 4197137.9881 + -4196915. Let z = u - r. Round z to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11096357 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of -6 + (-2 - (1 + -32 + 3)) and 980.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 45*c - 232 + 42*c - 71*c - 25*c in the form x + o*c and give x.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-1) - (-35 - -4*(-34760)\/(-4480))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-6) + 266\/(-420)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 194746451 to the nearest ten thousand.\nAnswer: 194750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 737 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16680 is divided by 132?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 18*i - 7*i + 55 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-16)\/(-7) - (-6)\/(-21). Let i(x) = 13*x**2 - 6*x + 10. What is the tens digit of i(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 598 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103701 is divided by 4506.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.03, -17\/4, -201 in descending order.\nAnswer: 4, -0.03, -17\/4, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1373*r + 457*r + 607*r.\nAnswer: -309*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j**3\/3 - 761348*j**2\/3 - 4111415*j\/3 - 1522750\/3 = 0.\nAnswer: -5, -2\/5, 152275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1281.9 - 2639.7. What is l rounded to the nearest ten?\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 6*r - 88. What is the remainder when w(20) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*k - 17*k = -6. Suppose 0 = -3*j - 30*j - 8*j. Put -2, k, j, -5 in decreasing order.\nAnswer: k, j, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.054298 - 458.714298. Let t = o + 468. What is t rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1713622 divided by 13\nAnswer: -1713622\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 36 = -29. Let p = l + 7. Calculate the greatest common divisor of p and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -6. Suppose p + 5*r = 0, z*p - 2*r = -r. Suppose p*k - k = 2*n - 65, 5*n = -3*k + 165. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -8*d + 4 + d**2 - 4 + 1 + 3. Let a be s(8). Let z(b) = -1 - b - a + 5. Let i(f) = -2*f. Give i(z(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - w = 0. Suppose 4*q + 6 + 22 = w. Let i(h) = -h**2 - 10*h - 7. What is the smallest common multiple of i(q) and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 120\/32 - (3 + -1 - -2). What is the nearest to z in 2, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 556430 and 1190.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 64*w + 34. Let v be h(5). Let q = 499 - v. Calculate the greatest common divisor of 58 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -106*c + 74*c + 29*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 24 = -6*d. Suppose 2*k - 58 = -3*x + 123, -2*x + d*k = -112. List the prime factors of x.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 978 - 461. What are the prime factors of u?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*k + 0*k - 3*k + (7 + 3 - 6)*(0*k - k - k) - 56*k - 68*k + 187*k in the form z + w*k and give w.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17 - -28. Let g = -8 + f. Let w(r) = r**2 + g*r**2 - r**2. Let t(y) = -2*y**2. Calculate t(w(j)).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -38 - -42. Suppose g*k - 488 = -3*y, -k - 2*y + 144 = 22. Find the common denominator of 25\/8 and 2 - (k\/(-8))\/(-3 - -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22 by 1304.\nAnswer: -11\/652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 77 = 2*m, 5*m + 50 = -i - 117. Let c = -37 - m. What is the nearest to 0 in 0.3, c, -5\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 + -10. Find the third derivative of l**2 - i*l**5 + 6*l**5 + 2*l**2 wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-14)\/(-98))\/((-18)\/28)*27\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.2, 41\/9, -1\/10, 0.9 in descending order.\nAnswer: 41\/9, 2, 0.9, -1\/10, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 121*t + 373*t + 209*t to x*t + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 3*h = -2*h + 51, 85 = -5*q + 2*h. Suppose 15 = -4*u + 83. Let s = q + u. Solve s = w - 5*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -150*z - 401. Is u(-39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 17*i**2 - 5*i - 3. Let x be u(-3). Let z = x + -99. What is the remainder when z is divided by 3\/(12 + (-12012)\/1012)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.64167 and 0.3504.\nAnswer: 0.99207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (922*o**2 - 2220*o**2 + 1118*o**2 - 1)*(-2*o**2 + 6*o**2 - 2*o**2).\nAnswer: -360*o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39 - 52. Let o(v) = 3*v + 26. Let c be o(h). Is 3 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/3 + (-1960)\/6048. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*m**2 + 6*m - m**2 - 5*m - m**2 - 19*m**4 - 2*m**3 to l*m + s*m**4 + p*m**3 + h + w*m**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t + 4. Give i(16).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:37 PM and 5:14 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/3 + 1 + -1. Suppose 2*r + q + 14 = -11, 2*r + 15 = -3*q. Let f be ((-12)\/(-10))\/(r\/(-50)). Solve -f*v - h = -p, p - 12 = -2*v - 3*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/8)\/(5\/140). Suppose 3*v = -w + z, 4*w - 6 = -2. Suppose -v*u + 1201 = -3*d + 84, -5*u = -3*d - 2806. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -3*d + 16. Let j be y(8). Let u(z) = z**3 + 8*z**2 + 6. Calculate the remainder when 9 is divided by u(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of -2*q**3\/3 - q**2 + 8*q + 936. Let b(x) = 2*x**2 + x - 7. Determine 5*b(h) + 4*j(h).\nAnswer: 2*h**2 - 3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 - 3*(-4)\/(-12). Suppose 507 = 4*z - z. Let q be (z\/(-26))\/(l\/4). Solve 5*r - q = r - 5*p, 2*p = -2*r + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 231251234?\nAnswer: 2, 41, 277, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-176)\/(-86) - 47*(-90)\/(-2115). What is the fourth biggest value in -3\/5, 0, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 7776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mh when two letters picked without replacement from whhqsmmmahhh?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 5*n + 71, -3*m = -n + 6*n - 169. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -3*o - 4. Let i be 9\/(-4) - (-1)\/o. Is 9 a factor of (27\/i)\/((-2)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -260881391, -260881392, -260881393, -260881394, -260881395, -260881396?\n\"Answer: -c - 260881390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**2 - 64890*o - 3112416 = 0.\nAnswer: -64842, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5.9 + 103.9. Let r = w + -98.3. Put -0.5, -4, r, -1 in increasing order.\nAnswer: -4, -1, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24892\/(-1488) + 566\/(-26319))\/(1\/(-4)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1\/355  (b) -2\/15  (c) -1\/4712\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 193913583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 586111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3556?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*p - 720 = -36*p - 81*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**3\/2 - 55*l**2\/4 + 57*l\/4 - 2.\nAnswer: (l - 8)*(l - 1)*(6*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 46075 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -d**2 - 73*d*z**3 + 78*z**3 wrt d?\nAnswer: -2*d - 73*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 10:17 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6.6 - -7. What is the nearest to 0 in -3\/4, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -214*q = -199*q - 195. What is the remainder when q is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 - 3*j - 4. Let u be t(4). Let d = 35 + -35.2. Which is the nearest to 1?  (a) u  (b) 1\/6  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/((-8)\/(-10)) - (-21315)\/(-8610). Put r, -3, -3\/2 in ascending order.\nAnswer: -3, -3\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 487 is divided by 47?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 3 + 259. Calculate the remainder when (177\/(-12))\/((-16)\/t) is divided by (6\/5)\/(4\/40).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**0*w*w)**(-7\/8)*(w**4*w)\/(w\/w**0))**28 assuming w is positive.\nAnswer: w**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of -3\/2*t**2 + 3\/10*t**5 + 0 - 1\/2*t**4 - 97*t + 1\/14*t**7 - 3\/2*t**3 + 3\/10*t**6. Factor a(z).\nAnswer: 3*(z - 1)*(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8120*t - 8125*t + 9*z + 33 = 0, t - 9 = z for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -34 - -34. What is the derivative of -8 - 7*r + v + 5 - 5*r wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/3*j**5 + 0 + 0*j + 16\/3*j**3 + 8\/3*j**4 + 0*j**2.\nAnswer: j**3*(j + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2716342 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 49097 divided by 443\nAnswer: 49097\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 = -5*h + 22, 4*h = -4*y - 32 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -31591\/3 + 10659. Let o = y + -7358\/57. Is o at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u - 2. Let p(q) = 23*q + 1750. Determine -10*d(v) - p(v).\nAnswer: -3*v - 1730","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -799005 times -0.3?\nAnswer: 239701.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1466 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.33458 to 3 dps.\nAnswer: 0.335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4668837)\/(-76419) + (-60 - 1)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - h - 1)*(3*h - 3*h**4 - 3*h) + (h + 7*h - 2*h)*(21*h**4 - 14*h**4 - 26*h**4) + 15*h**5 - 31*h**5 + 17*h**5.\nAnswer: -110*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of 0 - 22*b + 7\/6*b**3 + 0*b**2. Let u(d) = 20*d. Calculate u(z(q)).\nAnswer: 140*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11000000 + 1001000?\nAnswer: 100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 16*c + 168. Calculate the highest common factor of c and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of -7*f**4\/12 + f**2 + f + 1. Let a(k) be the first derivative of r(k). Differentiate a(t) with respect to t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*g**2 - 16*g**2 + 2*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 202 + -5253\/26. Let n = h + -6\/13. Which is smaller: 0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1699 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 2 - 6 = 0, -3*c = 3*g - 2409. Let u = c - 805. Let n = 2 + 0. Solve 18 = -u*r - 4*m, n*m = 4*r - 2*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -24310, -48639, -72968, -97297?\n\"Answer: -24329*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 0*x - 3, 4*q = 3*x - 45. Find the common denominator of -103*(q\/45)\/((-44)\/10) and -81\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (80\/(-388))\/4*(4\/4)\/(220\/(-88))?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/8016 and 23\/9.\nAnswer: 24048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/2965?  (a) -3\/4  (b) -35  (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = u - 5*y + y, -10*y + 30 = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3207\/22  (b) 0.1  (c) 2.88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 + 24*t + 78. Let r be l(-20). Let o be r\/8*-2 + 10\/4. Solve -o*u - 12 = -0*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 2*t = 2*v - 8, 0 = -4*t - 2*v + 26. Let x(j) = j**2 - 7*j - 1. Give x(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.3 and 273110165?\nAnswer: 273110165.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 97*j - 199*j - 4 + 99*j. Calculate v(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -5\/7  (b) 4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 21 = 3*u, -6*w + 21 = 3*u - 3*w. Let r = -3 + u. Let c(m) = 0*m + r*m - 5*m. Let b(f) = -4*f. Determine b(c(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100) - 1*sqrt(1100)*5) + -4 + -1.\nAnswer: -40*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 k, and 2 n when four letters picked without replacement from {d: 5, x: 3, k: 7, n: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 97, 394, 893, 1594, 2497, 3602, 4909?\n\"Answer: 101*i**2 - 6*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 PM and 12:05 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 69856 and 592.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 724 + -10135\/14. Which is the closest to -3?  (a) -2\/9  (b) x  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hdn when three letters picked without replacement from {d: 1, p: 1, h: 2, b: 3, u: 4, n: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 41 + -31. Solve 5*q - p + 30 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 410 divided by 12.\nAnswer: 205\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do 4109\/179 and 23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/5  (b) 6\/13  (c) 4  (d) -12790  (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -o*t**3 + 3*o*t**2 - 605*o*t - 3*o + 49698*t**5 - 6*t + 6 wrt t.\nAnswer: -6*o*t + 6*o + 993960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -6948 divided by -5\nAnswer: 6948\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/6*(-18)\/(-4). Suppose -5*n - 40 = -0*n. Let i(w) = w**3 + 7*w**2 - 10*w + 2. Let y be i(n). What is the greatest common divisor of y and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 - (12 - (5 + (-15 - -14))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 22 and 0.074?\nAnswer: 1.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 30*r - 18. Let i(s) = -7*s + 8. Let b(u) = -21*i(u) - 5*t(u). Let d(p) = -2*p**2. Calculate b(d(x)).\nAnswer: 6*x**2 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 + 27. Let p = -2 - -3. Let h = p - 1. Solve -3*y - 3*d + 12 = -h*d, 3*y = -4*d + k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -151.\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 206 + -8?\nAnswer: 1ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.742347 nanograms to tonnes.\nAnswer: 0.000000000000003742347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -32.09\nAnswer: 96.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 110 - 12103?\nAnswer: -11333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k**5 + 4*k**5 + 2*k**5)*(0 + 0 + 1)*((3 + 1 - 3)*(2 + 4 - 3) + 2 - 1 - 3).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -127935*d**3*z**3 + 592*d**3*z - 2*d**3 + 39*d**2*z**3 - 51*d - 2*z**2 + 6 wrt z?\nAnswer: -767610*d**3 + 234*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 541829 is divided by 1522.\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -7*l**3 - 29*l**2 + 8*l. Let t(j) = 10*j**3 + 44*j**2 - 13*j. Calculate 7*b(x) + 5*t(x).\nAnswer: x**3 + 17*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = -5*t + 9. Are t and -10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.5 + -3. Let b = -3925.3 - -3738. Let i = 187 + b. Which is bigger: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8767872 and 648?\nAnswer: 26303616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 19*g = 3636. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 310883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2*o + 1443 = -5*o, -5*o - 2165 = -3*f. What is the highest common divisor of 560 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2)\/4)\/(8\/192). Let s = 25\/2 + d. Sort s, -5\/2, -5.\nAnswer: -5, -5\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/3, 2\/7, -2, 2.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 558007, 1116048, 1674089, 2232130?\n\"Answer: 558041*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22 + 4. Let w(f) = -f**3 - 18*f**2 - f - 20. Let n be w(m). Is n >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ehomxet. What is prob of sequence xt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/443212 and -59\/16786?\nAnswer: 48310108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 13*r**2 - 35*r + 22. Give q(10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -2, -9*j + 4*j - 10 = -3*p. What is the third derivative of -6*v**2 + 745 - 745 + 121*v**p wrt v?\nAnswer: 7260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - r = -0*r + 184, -3*n + 2*r = -133. Let z = -27 + n. What is the smallest common multiple of z and ((-18)\/8)\/(54\/(-144))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 57 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -902.53 to the nearest 10.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4 + -30)\/(-5 + 3). Suppose 2 + d = n. Calculate the remainder when 29 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 183 and 2013?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/5  (b) 0.4  (c) -0.3  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1457109 is divided by 1589.\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -124*s + 125*s - 382. What are the prime factors of s?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -847435 less than -847436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 69417263.6 to the nearest one hundred thousand.\nAnswer: 69400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-3*sqrt(384) - 3*-1*sqrt(384))\/((sqrt(72) - (sqrt(72) - -1*sqrt(72))*2)\/(sqrt(18)\/sqrt(3)*-6)).\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kbqbnkqm. Give prob of picking 1 b, 1 n, and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 725239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1548, 3095, 4634, 6165, 7688?\n\"Answer: -4*l**2 + 1559*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - 6*y**2 - 5*y - 6. Let o = -3 + 10. Calculate the remainder when 22 is divided by a(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-69729)\/(-4226))\/((-21)\/5*10\/8)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 + 40. Let k = u - 49. Suppose -i + 2*i - k = 0. Calculate the remainder when 42 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.8 - 4.8. Which is the nearest to 1?  (a) h  (b) 2\/3  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 2 - 3*d - 4 + (-3 + 4 + 0)*(1 - 1 - d) + 4*d - 4*d - d - d + d + d - 4*d + 4*d - d to the form m*d + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**3 + z**3 + 2*z**3)*((142*z - 53 + 99 - 45)*(0 + 4 - 2) + 3*z - z - z - z + 3*z + 10*z + (2*z - 2 + 2)*(-2 + 4 - 4)) + 2 - z**4 - 2.\nAnswer: 878*z**4 + 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - -18) + (-8 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 2*n + 2*n - 2*r, 0 = -4*n + 4*r + 40. Suppose 5*q = -5*b + 120, 98 - 6 = 4*b + 2*q. What is the remainder when b is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -16, -182, -348?\n\"Answer: -166*a + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 110\/600*(-3)\/(-2)*388\/2134.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 47501 or -515?\nAnswer: -515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000135251 rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (59679\/(-760) + 78)*(-6 - -1)\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*h - 140 + 118 - 154 - 14*h in the form m + t*h and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 2*f = -13. Let b = -9 - f. Let h(i) = i**3 + 0*i**2 + b*i + 0*i**2 + 4. Let w(g) = -2*g**3 - 7*g - 7. Calculate 5*h(z) + 3*w(z).\nAnswer: -z**3 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 7 = -5. Calculate the remainder when 309\/21 + y\/14 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 8\/3  (b) -0.032  (c) -130\/99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1130\/9 - 2251\/18. Factor -1\/4 - 1\/4*s**2 - k*s.\nAnswer: -(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00605 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*z - 38*z**2 + 547 - 547 to q*z**2 + c + j*z and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2  (b) 14  (c) 1  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 + 4)\/((-1)\/(-2)). Suppose -m*x = x. Let a(b) = b**2 - 4*b + 5. Let v be a(5). Solve 5*t - v + x = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (74 - 20) + -22 + -27 - (0 + (3 - -115)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*d**6 - 86749*d**3 + 2012003*d**2 wrt d?\nAnswer: -720*d**3 - 520494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -455*k + 18198. What is z(40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -27.47, 7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28 - 11 - 8 + j**2 to the form p*j + q*j**2 + c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3658711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3 - 3*b**3 + 3*b**3 + b**3 - 5*b**3 + (b + 4 - 4)*(-b**2 - b**2 - b**2) + (2*b + 0 - 3 + 0*b)*(20*b - 1 - 3*b**2 - 20*b).\nAnswer: -13*b**3 + 9*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -573*s - 32596 - 30815 + 14706 for s.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 438914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from ulfxl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 34216 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*d**5 - 66*d**3 - 35*d**2 - d - 4868?\nAnswer: -40*d**3 - 396*d - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 46.1 times 2?\nAnswer: 92.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -106*103\nAnswer: -10918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2158748 + -17?\nAnswer: -2158765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*k**2*l*u - k**2*u**2 + 2*k*l - 53*l*u**2 + 2*l - 10*u wrt u.\nAnswer: -2*k**2 - 106*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(-2\/9))**(-3\/4)\/(l*l\/((l*(l**(-2)\/l)\/l)\/l)*l)**(8\/15))**(-27) assuming l is positive.\nAnswer: l**(2511\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = w - 3, -3*w - 2 = -2*g + 1. Let t(o) = -o**3 - o**2 - o - 6. Let s be t(w). Solve u + 3*d - 5 = -s, 5*d = -u - 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 101 - -20. Let f = 241\/2 - w. Which is the nearest to f?  (a) -2\/3  (b) 5  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o = -33 + 5. Let w(f) be the first derivative of 2*f + 0*f - o*f**3 - 28 + 18. Find the first derivative of w(z) wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1027862 (base 9) to base 11.\nAnswer: -346557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 51925, -715 in increasing order.\nAnswer: -715, -1, 51925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.041 + 4.141. Let a = s + -35.5. What is a rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(85)*-3 - sqrt(85) - -2*sqrt(85)*5)\/(sqrt(5) - sqrt(50)\/(sqrt(10) + sqrt(40) - sqrt(10)) - sqrt(35)\/(sqrt(7)*1)).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -37) + (-8 - (-1 - (-3 - -4))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 + 37*l**2 + 512*l + 13955. What is h(-34)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9855992 or 9855981?\nAnswer: 9855981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*q**3 - 36*q - q**3 + 2*q**2 + 40*q in the form j + p*q**2 + b*q + v*q**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 602876908?\nAnswer: 2, 53, 61, 46619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 45304, 44990, 44622, 44200, 43724?\nAnswer: 43194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -105 - -2?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(9)*5)\/(sqrt(27)*2).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-4) - 785381457\/(-42). Suppose 0 = 3*t + 69800441 + z. Round t to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2546*i + 25458. What is g(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 173333 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2364*u = -5*l - 2363*u + 5, -8*l = -3*u - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -35386409+0.13\nAnswer: -35386408.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 241941 and -2.\nAnswer: -483882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64306 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 12) + 13 + (31 - 59).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 3*m - 5483 + 2745 + 2738. Calculate t(-18).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6466694, -12933388, -19400082, -25866776, -32333470, -38800164?\nAnswer: -45266858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/5 or 272717228?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4919008 is divided by 5767.\nAnswer: 5524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a**4\/2 + 3*a**3\/2 + 21*a**2 - 22*a - 12 = 0 for a.\nAnswer: -3, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3473 by 51971.\nAnswer: -3473\/51971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4057 - -12184\/3. Which is bigger: v or -356?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 19 = -1. What is the remainder when 13 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.4, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 5:55 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 101465765 and 25162.\nAnswer: 202931530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 1:42 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 14) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 110*b. Let u(s) = -3*s + 7*s - 28*s + 9*s + 6*s. Give o(u(h)).\nAnswer: -990*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -257, -1014, -2627, -5414, -9693, -15782?\nAnswer: -23999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**2 + n**2 + n**4 + (-3*n**4 + 3*n**4 + 2*n**4)*(1 + 2 - 1) + 4*n**3 - 4*n**3 + 3*n**4.\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/1*5)\/(9\/(234\/26))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**4 - 3100*t**3 + 27615*t**2 - 73420*t + 61100.\nAnswer: 5*(t - 611)*(t - 5)*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of l**2*z**2 + 15*l**2*z - 196*l*z**2 + 145*l + 3*z**2 - 2 wrt z?\nAnswer: 2*l**2 - 392*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -237094*c**2 + 474359*c**2 - 236989*c**2.\nAnswer: 276*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 times 245.545?\nAnswer: -10312.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(1\/3))**(5\/8) assuming j is positive.\nAnswer: j**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - (-7 + 0))*(-3)\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-175)\/126*(-66)\/(-110))\/((-550)\/(-33))\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20042, 18297, 16552?\nAnswer: 14807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 447804.\nAnswer: 2, 3, 7, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1669951704?\nAnswer: 2, 3, 4297, 16193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 3*p = -8*p + 285, t - 2*p = 84. What is the units digit of ((-8)\/(-10))\/(3\/t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k - 5. Let s be d(-5). Find q, given that -12*q**3 + q - 4*q**2 - 8*q**4 + s*q - 2*q**5 - 3*q - 4*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.0149 + -0.0149. Which is the closest to q?  (a) -3  (b) -0.1  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8273?\nAnswer: 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 22*h**2 + 32662*h - 77329. Give j(-1487).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (4 - (14 - -1)) - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 15 and 1145254?\nAnswer: 1145239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sfdddddufddudusf. What is prob of sequence fss?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l**5\/7 - 12*l**4\/7 + 12*l**3\/7 - 4*l**2\/7 = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 278912573 and 4?\nAnswer: 1115650292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -35 * -0.02.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 174804.\nAnswer: 2, 3, 7, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34 - -34. Suppose q*k + 12 = 3*k. Suppose -5*y + 0*p - p + 30 = 0, 0 = -k*p. What is the least common multiple of y and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8590548 is divided by 252662.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 5*w - 17 = 0, -90*f + 93*f + 4*w = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(3)*-4 + 2 - (2 + sqrt(48))*4) + 4)*-3*-5)**2.\nAnswer: 10800*sqrt(3) + 98100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -10*i**2 - 2172*i - 16735. Give c(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*a**3*d*x**2 + 3*a**3*z - 59*a**2*d*x**2*z + a**2*d*x*z - a**2*x*z + 2*a*z - 2*d*x**2 + d wrt x.\nAnswer: -4*a**3*d - 118*a**2*d*z - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 2200.\nAnswer: 1\/1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -4*o. Let a = 3 - o. Solve 0*y - a*y + 15 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.37*-12.81\nAnswer: 4.7397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 79 and 1817.\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2\/4 + 2619705*v\/2 + 2619702.\nAnswer: 3*(v + 2)*(v + 1746468)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 209*y**4 - 218*y**4 - 60*y**2 + 82*y**2 - 2*y**3 in the form x + w*y**4 + o*y + a*y**2 + t*y**3 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4.08 + -0.08. What is the closest to -1 in -0.5, h, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 2:05 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 8694.252mm?\nAnswer: 8694252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -59\/84 - 7\/12. Let n = -20841\/11 + 1899. Let u = n + -443\/99. Find the common denominator of v and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 26 = -10. Let x(g) be the third derivative of g**4\/24 - 8*g**3\/3 + g**2. Let l be x(r). What is l rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 21*j. Let x(q) = -12*q. Give g(x(f)).\nAnswer: -252*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5, 55, 139, 257, 409, 595, 815?\n\"Answer: 17*w**2 - w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + 2 - 6. Let h be 5*(u + (-8)\/(-20)). Is 23 a factor of (h - 10) + 7*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 4. Let x be ((-4)\/(-12))\/(r\/(-15)). What is the second derivative of 2*y**2 - 2*y**x + 4*y + y**2 - 3*y**2 wrt y?\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 - (7 + -15 + 4 + 14)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-28)\/(-5) + 4\/10. Is (1814\/b)\/(2\/(-30)*-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*s - 132 = 12*s. Solve s*j = 8*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11462.7 + -11463. What is the closest to -47 in -4, 30, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -2  (b) -1\/4  (c) -1\/5  (d) -405\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -2  (b) 5  (c) -8  (d) 1089  (e) 0  (f) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + 2 + (2 - 11). Let q be 6\/15 + 212\/j. Let o = 79 + q. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -4*z + 8. Let s be r(6). Let p = -811 - -810.8. Put -3, p, s in descending order.\nAnswer: p, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 62295 = -3*d + 183984, -d = -5*h + 307863. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12 + -5. Let f = d - 0. Let m = 7.00003 - f. Round m to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1  (b) -20\/9  (c) 146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -653*k - 2*k**3 + 647*k + 0*k**3.\nAnswer: -2*k**3 - 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of 0*p**4 + 0 + 3*p**2 + 11*p + 688889\/20*p**5 - 1\/2*p**3. Let h be n(3). What is h rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 9 - 6 = 0. Let w be 4698 + (1\/1 - d) + 0. Round w to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*h - 59*h - 5*j + 4 = 0, -j = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h + 5*h - h)*(3*h**2 + 2*h**2 - 2*h**2)*(-5 + 0 + 3).\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*l + 8 + 46 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d + 1. Let l = 29 + -21. Suppose -5*x + l + 7 = 0. Suppose -11 - 7 = -3*y + s, x = -s. Let w(f) = -4*f + 1. Determine y*i(k) - 3*w(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 i, and 1 z when three letters picked without replacement from {g: 2, u: 7, z: 4, i: 1, m: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-288)\/2808)\/(28\/(-10920))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2591 - -2588. Put 5, -6, 1, -4, p in decreasing order.\nAnswer: 5, 1, p, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1*(sqrt(3) + 1))**2.\nAnswer: 2*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 157269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/5  (b) 91  (c) 4  (d) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 7*x = 5. Let j(n) = 4*n**2 - 1. What is j(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*y**2 - 3*y**2 + y**2 + (3*y**2 + 4*y**2 - 3*y**2)*(-2 - 4 + 5) - 3 + y**2 + 3 + (18*y + 50*y - 43*y)*(-4 - 4*y + 4).\nAnswer: -102*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(63\/6)*-7. Suppose -2*w = i*w - 8. Is -74*(w\/(-4))\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.2, 2\/7, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 57 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 3, 0.16, 0.1, -3\/19, 1\/16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 + t**2 - 5*t**2 + 3*t**2 - 3*t**2 + (t - 2*t + 2*t)*(3*t + 4*t - 5*t) + (-3*t**2 + 2*t**2 + 0*t**2)*(2 + 1 - 6) + t + 6*t**2 - 3*t - 2*t**2.\nAnswer: 5*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 + -1.9422798132\nAnswer: -2.2422798132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (14\/(-6))\/((-2)\/6). Let m = g - 5. Let a = m + 10. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - ((-8)\/2 + (1 - -3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 277, -1\/5, 2\/7 in increasing order.\nAnswer: -0.3, -1\/5, 2\/7, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 12) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 808 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: Let i(t) = -12 + 359*t - 30 + t**2 + 3 - 367*t. Determine i(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m**3 - 122*m**2 - 105*m - 1181. Let i be w(62). Suppose 0 = 4*d + 15 + 5. Sort -0.2, d, -0.03, i.\nAnswer: d, i, -0.2, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 32 = -5*o. Let p be (12\/o)\/(2\/4). Suppose p*m = -2*m + 245. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - -16. Suppose 5141*x + 112 = 5149*x. What is the lowest common multiple of w and x?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28 - 24. Let z = -111.18 - -8.28. Let u = 103 + z. Which is the closest to u?  (a) j  (b) -0.2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of a*i**2*v**2*x - a*v - 19*i**3*x - 966*i**3 - i*v**2 - v**2*x wrt x?\nAnswer: a*i**2*v**2 - 19*i**3 - v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21331*d**4 + 10242*d?\nAnswer: 255972*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 AM and 4:28 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 3*c**2 + c**2 + 1 - 1. Let n be s(-1). What is the highest common divisor of n and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 + 1466037*k.\nAnswer: 1466037*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 0 - (82 - 45 - (4 + 22))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.06 - -34.76. What is m rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/67)\/t**29*((t\/t**(3\/8))\/t*t)\/(t\/(t**(-9\/7)\/t)))**14 assuming t is positive.\nAnswer: t**(-118903\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of -14 - j - 21\/20*j**5 - 3\/2*j**4 + 1\/21*j**7 + 0*j**6 + 0*j**2 + 0*j**3. What is the third derivative of x(m) wrt m?\nAnswer: 120*m**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109 - 16*z - 10*z + 33*z.\nAnswer: 7*z - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1 and 3208?\nAnswer: 3208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/222 and (-5084)\/(-264) + (-1)\/11?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + (11 - 6) - (-3 - -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16.63 - -0.63. Let o = -16.000002 - p. Round o to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 16.97 or -38256?\nAnswer: 16.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0*u - 3*u - u)*(-2 + 0 + 1) + u - u - u + (2 - 4 + 4)*(-2*u + u + 2*u) + 0*u + 0*u - 6*u)*(4 - 1 - 2) in the form x*u + d and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 52 and 455.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = -4*q + 7*q - 14, 4*q + 4*o - 8 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1720 = 3*x + 611. Let j be x\/2 + 10\/(-4) + 1. Does 2 divide j\/(-150)*(-1 - (-12)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 291199048 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2920191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of -11 - 1\/5*b**2 + 0*b + 0*b**3 + 1\/10*b**4. Suppose a(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4a1 (base 14) in base 4?\nAnswer: -32131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 451 - 446. Solve 0 = -h - v + 6*v, 2*h - b*v = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -12*a**2 + a + 1. Let v be q(3). Suppose 4*t + i - 6*i = -586, -i = -5*t - 743. Let z = v - t. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -616220, 0.1, -6?\nAnswer: -616220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 95447.71kg in tonnes?\nAnswer: 95.44771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8784 by 10110.\nAnswer: -1464\/1685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(3)*-4*5*-1 - ((sqrt(3) - (sqrt(3) + 1 + sqrt(3))*1) + sqrt(3) - sqrt(675)))**2*1.\nAnswer: 150*sqrt(3) + 16876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21369*h**2\/2 - 7135*h\/2 + 2 = 0.\nAnswer: 4\/7123, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y**2 + 77*y - 4. Let u be k(0). What is the closest to 1 in -35, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3*(-5)\/((-60)\/16). What are the prime factors of (66\/h)\/(2\/(-40))?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-6)\/l*l**(-2\/15)*l*(l**(-1))**(5\/6))\/((l*l**7)\/l*l\/(l\/l**3))**(-17) assuming l is positive.\nAnswer: l**(4891\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -5*t - 4. Let p be 1 + 0 - (0 - (4 + -2)). Let k(h) = 6*h + 5. Calculate p*k(d) + 4*s(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -10*a**2 - 2. Let b = -229 - -227. Let r(j) = 41*j**2 + 9. Give b*r(v) - 9*o(v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2205)\/(-210))\/((-3)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4855 smaller than 9\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/(-36))\/(1 + (-7)\/(-63))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-1*sqrt(66) + sqrt(66))*4)\/(sqrt(6) - 4*sqrt(6)*1 - sqrt(30)\/sqrt(5)*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 28 + -16. Suppose 157 = 13*s - f*s. Let h = s - 80. What is the greatest common divisor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 15331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/752 and -89\/1034.\nAnswer: 8272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -10*w + 2511. Let y(m) = -279 + w - 2*m. Let v(d) = -14*d + 10*d - 16*d. Determine y(v(a)).\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 189945?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k + 4051 - 4058 = 0. Sort k, -4, 0.939, 0.4 in increasing order.\nAnswer: -4, k, 0.4, 0.939","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 152\/33 and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1186021284 to the power of 1\/3, to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1751\/35 + 346\/7. Put -0.1, a, -4 in decreasing order.\nAnswer: -0.1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 829099826.\nAnswer: 2, 17, 163, 149603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -39 - -86. Calculate the remainder when 92 is divided by s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of 2*u**3\/3 - 2*u - 6. Let n be m(-3). Solve 5*i - 1 + n = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, -25, -1 in increasing order.\nAnswer: -25, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 14*c + 2. Let q be i(3). Let n = 63 - q. What is the highest common divisor of n and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 223 (base 7) to base 15.\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of -p**6\/1080 - p**5\/270 - p**4\/216 - 74*p**2. Factor y(c).\nAnswer: -c*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*y - y - 0*y. Put -5, 3, y, 77 in descending order.\nAnswer: 77, 3, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 796324589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2225*v**3 + 29*v**5 + 121*v**2 + 1103*v**3 + 1123*v**3 wrt v.\nAnswer: 1740*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67, 209, 351, 493?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6300 - 1987. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 152*q**2 + 1544*q + 226. Determine l(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 29 = 3*y, 4*c = -0*c - 28. Solve 111 = -11*h + y for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2510)\/140 - (-3503)\/226\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*s - 19*s + 475 = 0. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34006 = q + p + 2620, 62774 = 2*q + p. List the prime factors of q.\nAnswer: 2, 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -508 + 277 + 5*f + 241.\nAnswer: 5*f + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 7  (b) 0.1  (c) -0.3  (d) 55  (e) -1\/111\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g**4 - g**4 - 4*g**4 + (-1 + 2 - 12)*(-3 + 3 - 6*g)*(0*g**3 + 3*g**3 + 0*g**3).\nAnswer: 190*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggw when three letters picked without replacement from dcigwwdgdigdiiii.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) 3.7  (c) 0  (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -609 + -2484.\nAnswer: -3093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2.24 or 8?\nAnswer: -2.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 677449, -12.\nAnswer: -12, 1, 677449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -2*d - 5*c + 10, -d + c - 8 = 0. Let b be d\/(-15) + (-92)\/(-3). Suppose 2*o + b = 163. Calculate the highest common divisor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of f*w**4 + 67*f*w**3 - 12*f*w**2 + 4*f - 2*w**4 + 3*w wrt w?\nAnswer: 24*f*w + 402*f - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 2*p**3 - 9*p**2 - 68*p + 102. Calculate the remainder when 1617 is divided by f(10).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 28645.9982867 - 28646. Round r to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5083786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -9*u**2 + 2*u. Let l be ((18\/(-4))\/(-9))\/((-9)\/(-54)). Let t(s) = -8*s**2 + 2*s. What is l*t(f) - 2*m(f)?\nAnswer: -6*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 86 less than 0.009828738?\nAnswer: -85.990171262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 154, 198, 254, 328, 426, 554?\n\"Answer: j**3 + 37*j + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 396651?\nAnswer: 3, 109, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7537*j + 22432 - 21417 = -3107*j + 64879 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/354 and -25\/5799826?\nAnswer: 1026569202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3368974\/861513 + -4402\/1361. Let f = t + -2\/211. Suppose 40*w = 130*w - 45*w - 39*w. Is w bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3711990 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -96 or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjxy when four letters picked without replacement from {j: 6, o: 3, y: 3, x: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*o - 12 = -28*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -17*h - 292. Let l be v(-28). Suppose 964*t - 972*t = -l. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*-5\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 m when four letters picked without replacement from {u: 5, m: 8, q: 4}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 15 = 5. Suppose -19 = 4*q + 3*v - k*v, -17 = 3*q - 2*v. Let b be (-32)\/80 + (-2)\/q. Solve 5*y - 2*t + 21 = 0, 3*t - 9 + 0 = b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1647 - 896. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 16682*f**4 - 17*f**3 - 13*f**2 - 136*f + 156224 wrt f.\nAnswer: 200184*f**2 - 102*f - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1050 + 5?\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = s + 3*r - 99, 0 = 3*s - 2*r + 290. Let q = s + 173. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78 = -34*m - 5*t, 6*m - 3*m = 5*m - 5*t + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 40*k + 2612. What is a(-65)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 26589 divided by 8863\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + -1c1e?\nAnswer: -1c1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 333953946?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/40260 and 121\/3050.\nAnswer: 201300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/3  (b) -0.2  (c) -5\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a second in milliseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6 + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 128.5023 minus -2869.784?\nAnswer: 2998.2863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000655945 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 217.2498 rounded to zero dps?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3974 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -15808870 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111201002 (base 3) in base 2?\nAnswer: 111001111101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence me when two letters picked without replacement from {m: 1, e: 1, d: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95) + (sqrt(95) + (-2*sqrt(95) - sqrt(95)))*-1 - sqrt(95))\/(2*sqrt(5)*-5).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + 5. Let m = 136 - 135.6. Let c(z) = z**2 - 2. Let d be c(0). Put m, t, d in decreasing order.\nAnswer: t, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.0224 + 0.0324. Let d = -1.1 - -0.8. What is the nearest to 2\/5 in d, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, q: 2, j: 2, f: 4, n: 3, b: 4}. Give prob of sequence fqwb.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 37789*a**5 + a**4 + 88*a**3 - 175003*a**2 + 1.\nAnswer: 2267340*a**2 + 24*a + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in eight fifteenths of a minute?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14814 - 14813.97. Which is the second smallest value?  (a) -8  (b) r  (c) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/21*(-224)\/(-384).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x**(-1\/14)\/x*x)**(6\/7) assuming x is positive.\nAnswer: x**(81\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 87851720*p**4 + 86773414.\nAnswer: 351406880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 39879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together 116 and -10598.77521.\nAnswer: -10482.77521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6435 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 137895550 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, -7\/11, -15\/8, 0?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 472*h**2. Let d(z) = -7*z - 10. Calculate m(d(n)).\nAnswer: 23128*n**2 + 66080*n + 47200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + 3*h - 12. Let x be (h - (0 + -6)) + -3. What is the second derivative of 2*k - 17*k**5 + 4*k**5 + 5*k**x wrt k?\nAnswer: -160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 4*p = -9 - 7, 0 = r + 2*p + 8. Suppose o - 1 - 1 = r. Factor y - o*y**3 + y - 3*y**2 + 6*y**2 - 3*y**4.\nAnswer: -y*(y - 1)*(y + 1)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -37104, -74261, -111416, -148569?\n\"Answer: v**2 - 37160*v + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 783*b + 907*b = -1435*b - 58949 - 169176 for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-908)\/6)\/(7\/4200). What is j rounded to the nearest one thousand?\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 5*j + 38. Let f be o(0). Let y(r) = 34 - 2*r - 73 + f. Calculate y(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 646 (base 8) to base 16\nAnswer: 1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 7056901*-0.5\nAnswer: -3528450.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204 is divided by 2\/4*182*1 + -2 + 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 46207 = 2*t, -4*d = -5*t + t + 92424. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-8)*-4*(-2)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 41858  (b) -0.0233  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 + -9. Let w = -5.586 + 5.686. What is the fourth smallest value in 0, 2\/5, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*l + l + 4*l)*(-3 + 2 + 2) + 8*l - l + 6*l + 28 + 135*l - 20 - 6 + 1 + 2*l - 1 in the form x + g*l and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 129 and 389625.\nAnswer: 16753875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1585, -3125, -4591, -5953, -7181, -8245?\nAnswer: -9115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqaf when four letters picked without replacement from {f: 5, q: 2, a: 9}.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-5)*2)\/((-29)\/29)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11745 by 2.\nAnswer: -11745\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p - 15. Let d be 34\/(1 - -1) - 2. Let h be q(d). Let j = -21 - h. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 882 + -837. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1424 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -410721*w**2 + 776124*w**2 + 876587*w**2 + 766025*w**2.\nAnswer: 2008015*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.5 + 1.4. What is the closest to d in -4, 1\/8, -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 403418 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**2\/2 + 31183195*p - 194478330081605\/2.\nAnswer: -5*(p - 6236639)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the first derivative of 12*w**7\/7 - 13*w**3\/3 + 7. Find the third derivative of j(z) wrt z.\nAnswer: 1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/252*-12)\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16382*t**2 - 14280*t wrt t?\nAnswer: -32764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/2*-1 - (-11 - -7). Suppose -2*s + 24 = 5*x, x + s - a*s = 9. Let h be (-3 + 4)*(x - 1). Solve -u + n = -n + h, -2*n = 4*u - 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.225 - -1.715. Let r = -2 + b. Let l = r - -2.38. What is l rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 50 + -23. Suppose 998 + f = -5*z. Let n = -114 - z. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t + 13. Let u be n(-11). Suppose -r = -4*r + u*r. Solve r - 4 = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 380*-186\nAnswer: -70680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7.8624 and 2120.\nAnswer: -16668.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 q when three letters picked without replacement from qfqkgffgqcfqgf.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28926, -28957, -28990, -29025, -29062, -29101, -29142?\nAnswer: -29185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7200 and 8640.\nAnswer: 43200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2 + 25 + t**2 - 36 + 9. Let d(g) = 866*g**2. Give n(d(v)).\nAnswer: 749956*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1545 and 204970.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/1840876 and 10\/979.\nAnswer: 20249636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooe when three letters picked without replacement from {e: 3, o: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 260, 263, 266, 269, 272, 275?\n\"Answer: 3*g + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 0*s + s - 2*s**4 - 5*s + 16*s**2 + 3*s to the form m*s**2 + b*s + q + p*s**3 + g*s**4 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 3, 0.2, 0, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*h + 1 = 31 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 186 and 744.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v + 1. Let o be h(11). Suppose -3*q - 7*u + 2*u + o = 0, u = 0. Suppose -5 = -5*t - q*k + 2, -5*k = 3*t + 1. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5318199 by -590911.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 37267 times 0.4\nAnswer: 14906.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = p + 3. Suppose 3*z + 12 = 0, 4*j - p*z + 2 - 6 = 0. Let s be j\/(-2)*(-2 + 4). Solve 5*l = -6 + s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*f**2 - 3*f**2 - f**2 + (3*f - 5*f + 3*f + (-4*f + 6*f + 0*f)*(0 - 4 + 2))*(-5*f + 0*f + f).\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 148775\/24 + -6197. Let r = -21\/8 + q. What is the nearest to -0.1 in r, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 58 + -54. Suppose 4*j = -k, 2*f + 4*j = -3*f + 21. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-2\/9))**(1\/12)*h**(-17)*h\/((h\/h**(-24))\/h))**(-2\/11) assuming h is positive.\nAnswer: h**(2161\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 3) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -5*j + 28567, -4*y = -4*j - 27262 - 29858. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -29, 1, 6, -5 in ascending order.\nAnswer: -29, -5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*b**2 + 5*b**2 - 4*b**2 + 4*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38858 is divided by 134.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 729900 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w = 4205 + 1283. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 84 and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 469 and 9650144.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a kilogram in grams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 34191 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1009 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(176) + 0 + sqrt(176) + 0 - 5*(sqrt(176) + 0)).\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5761016.\nAnswer: 2, 720127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**2 - 5*k - 4. Let r be h(-2). Solve 2*w + 4*b - b - 16 = 0, -r*b = -w + 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 233735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.03+1547\nAnswer: 1546.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.5 - 0.1. Let g = 0.9 - 1.1. Put z, 3\/5, g in descending order.\nAnswer: 3\/5, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/11  (b) -11  (c) -1  (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 1:41 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2900.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 - 18) + -7 + -20.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-2240)\/(-8))\/(-14)*(-1)\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27 + 19 - 4) + -14 + 12 + 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -57 (base 8) to base 13\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4684*n = -3880*n + 53868 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 552*v + 1419 = 14667 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16007770 and 385204.\nAnswer: 3634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s**2 - 2*s**2 + 2*s**2 + 111*s**2 + s - 83*s**2 + 49*s**2 + (0*s**2 - s**2 + 0*s**2)*(-3 - 2 + 7).\nAnswer: 73*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 8*l**3 + 2*l**3 + l**3 + 2*l**2 + 3*l**2. Let d(f) = 22*f**3 + 10*f**2. Let b(y) = -6*d(y) + 13*p(y). Find the third derivative of b(k) wrt k.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**6\/u*u**2)**(-7\/2)*(u**(-4)\/(u*u*u**(-1\/10)*u))**9 assuming u is positive.\nAnswer: u**(-433\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -14199200 to the nearest 100000.\nAnswer: -14200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 668647 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4644095*i**2 + 9288180*i + 20.\nAnswer: -5*(i - 2)*(928819*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/8*(-132)\/(-726)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1185, 3040, 4893, 6744, 8593?\nAnswer: 10440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*d**2 + 3*d**2 - 3*d**2)*(1 + 0 + 1) - d**2 + 0*d + 0*d)*(-11301*d + 5022*d + 9787*d).\nAnswer: 10524*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28025)\/885*(-81)\/(-171)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add 594 and 0.15.\nAnswer: 594.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 24752 divided by -104\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 11, 30, 59, 98, 147?\n\"Answer: 5*x**2 + 4*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1683 is divided by 266.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p + 27 = 2*h - 5*p, p = 14*h - 155 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -3, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (25\/(-10)*16\/6)\/(4*(-47)\/1692)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17*f*s**2 + 48*f + 26*s**2 + 80*s wrt f.\nAnswer: -17*s**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(168)*-1 - sqrt(168))*4)\/(sqrt(44)\/(2*sqrt(11))))\/(2*-5*(sqrt(384) + sqrt(24))).\nAnswer: 4*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 232395152?\nAnswer: 2, 11, 1320427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**3 - 6*y**2 - 16*y - 3. What is c(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 34880*j - 16873*j - 14939*j + (-3 - 1 + 2)*(-j - 1 + 1) + (0*j + 2*j - j)*(-3 - 3 + 5) + (-6 + 2 + 1)*(0 + 0 - 2*j).\nAnswer: 3075*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6961.\nAnswer: 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -9. Let t(w) = -10*w**2 - 7*w - 7. Let q(y) = 5*y**2 + 4*y + 4. Determine g*t(l) - 7*q(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t\/(t\/t**(2\/15)))*t**(2\/13)*t**(-1\/18)\/t*t*t\/(t*t\/((t*t**(-22)*t)\/t)) assuming t is positive.\nAnswer: t**(-24611\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*x - 26 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 41349864097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1950063 is divided by 6771?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3302504?\nAnswer: 2, 19, 21727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(((-56)\/(-8))\/(-7)). Is -9\/98 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 33*n**2 - 258*n - 30. Calculate k(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28\/3 - -10. Let k be 1 + -1 + (-2)\/(-3). Determine c, given that -p*c + 0 - k*c**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 2638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g + 2*g - g)*(-5*g + 2*g + g) - g**2 - 4*g + 4*g + (-1 + 0 + 4)*(2*g**2 + g**2 - 2*g**2).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2116.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 249*q**3 - 3*q**2 - 28*q wrt q.\nAnswer: 1494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-9)*q)\/q**(3\/2)*(q**(-1)*q*q)**(-50))**(4\/3) assuming q is positive.\nAnswer: q**(-238\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 54?  (a) 53  (b) 7947  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 33339984 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -7*w - 4. Suppose 2 = x - 0*x. Suppose -x*n + 0 = 8. Let t be h(n). Calculate the greatest common divisor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3855 divided by 3\nAnswer: -1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 3, -13, 43, 5 in decreasing order.\nAnswer: 43, 5, 3, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -102 + 109. What is the second biggest value in s, 3, 5\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/(-21) + (-851)\/805 - 64\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 0*i**3 + 3 + i**3 + 8 as p*i**3 + t*i**2 + k + q*i and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*z - 9*z + 22*z + (3*z - z + z)*(0 - 3 + 5) + (3 - 1 - 4)*(0*z + 0*z + z) - 3*z + 5*z - 1 - z as n + y*z and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -40*o**3 + o**2 + o + 1. Let w(g) = -g + 23. Calculate the remainder when v(-1) is divided by w(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 22 or 35\/6?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of -r**5\/60 + r**4\/6 + 7*r**3\/3 + 14*r**2. Let s be v(6). Solve 0 + 2\/5*c**3 + 2\/5*c - 4\/5*c**s = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (8 - (0 - -10)) + 4. Solve -17*m - j*m = 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 + 16. Suppose -o*c - 5*j = -2*c + 14, 3*j = -9. What is the nearest to c in -2, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5864 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 260 - 426. Let c = 457 + k. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from poooopoopo. Give prob of picking 2 o.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum -28 and 14396440.\nAnswer: 14396412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**3 + l + 6*l**3 + 4*l**3)*(2 - 5 + 2) + (-66*l**2 + 32*l**2 - 73*l**2)*(-l - 3 + 3).\nAnswer: 95*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.05 - -0.05. Sort -5, s, 2\/7 in increasing order.\nAnswer: -5, s, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1477363 to the nearest ten thousand.\nAnswer: -1480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 - -4)\/(3 + -1). Suppose -v + 2 = -n. Solve v*q = 0, a = 2*a + q - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2715, 2714, 2697, 2652, 2567, 2430?\nAnswer: 2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**3\/11 - 206*l**2\/11 - 1816*l\/11 + 4440\/11 = 0. What is l?\nAnswer: -10, 2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**5 - t + 1. Let m(i) = 3*i**5 + 3*i**4 - i**3 - 3*i**2 - 2*i + 2. Let u(h) = -6*a(h) + 3*m(h). Factor u(o).\nAnswer: 3*o**2*(o - 1)*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-3)\/(w\/(w\/w**(4\/5)*w))*w**(-2\/23)*w**(-3\/5) assuming w is positive.\nAnswer: w**(-401\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20 + 26. Let n(x) = -4 + 4*x - x**3 + 8*x**2 + 11 - 2*x**2. Is n(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 877206?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 7, 82, 0 in descending order.\nAnswer: 82, 7, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -19*z + 83 - 470 - 31 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - n - 4*n - 100 = 0, 0 = 4*d + 5*n - 110. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 86305 and 103115.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let g = -103 + 102. Let h be 2*g\/(-4) + (-57)\/(-38). Calculate the remainder when ((-219)\/9)\/(h + (-21)\/9) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - -19 - (-1 + -6 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4\/7, -1\/16, 27453, -17?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 196 + -208 + (8 + -4 - 0) + (0 - 13).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 18481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13930511 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 501 = f + 3*s, 34*f + 1483 = 37*f - s. Is f a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c + 12*c + 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1842038311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = c - 16. Let a(j) = 29*j - 8*j**2 - 8*j**2 - 8*j**3 - c + 9*j**3. Let p be a(14). Calculate the greatest common divisor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 1087\nAnswer: 3\/1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100408.\nAnswer: 2, 7, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -4639 times -2.2\nAnswer: 10205.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2892, 5808, 8720, 11628, 14532?\nAnswer: 17432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1.18 * 14\nAnswer: 16.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from qxuqdqxuuu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 0.03, -5, -1.3, -1\/5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.4 - 6.6. Put 5, f, 1 in decreasing order.\nAnswer: 5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7616 and 1632.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*(-78)\/(-143))\/(6012\/(-132))?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 - 12*d - 27. What is k(11)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(-2)*22 - (-3 - -6). Let q be v\/10 - ((-636)\/30 + -3). Which is bigger: 26 or q?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -50*v - 9 - 50*v + 101*v. Calculate p(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -10*h - 447. Suppose 5*p + 35 = -195. What is the remainder when f(p) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + -1. Let c = 4 + p. Suppose -m + 9 = 2*m. Solve c = -5*l - m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11597, -14504, -19363, -26180, -34961, -45712, -58439?\nAnswer: -73148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -564 divided by 188\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 PM and 6:43 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 15 = p. Calculate the remainder when p is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z = -2*g - 18, 4*z - g + 21 = -4*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 665742813 - 436463930. Suppose 241721117 = 20*f - y. Round f to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2 + -0.24. What is the third smallest value in -0.2, o, -3\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2776492, 5552984, 8329476?\nAnswer: 11105968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4515 by -35.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96800631.\nAnswer: 3, 31, 41, 53, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 23173 = 3\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -4*i - 136, -i = 2*t - 0*i + 66. Let m = t - -35. Solve -3*k + 9 = -3, 2*d - m*k + 16 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 209792 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -3*y - 5. Suppose -y*s + 10 = 4*i - 4, 0 = -5*i + 5*s + 40. Suppose 0 = i*c - 11*c + 40. What is the remainder when 21 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*n**3 - 3*n**3 + 5*n**3 + (1 + n**3 - 1)*(2 + 4 + 0) + 0*n**3 + 3*n**3 - n**3 in the form d*n**3 + m*n + i*n**2 + a and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of -2*g**3\/3 + g - 1. Let p(w) = w**2 - 4*w + 3*w + 2*w + 2*w**2 - 2. Let q(b) = -5*l(b) - 3*p(b). What is q(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-13)*t\/(t\/t**5))**(1\/33) assuming t is positive.\nAnswer: t**(-8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -67*q + 2. Let j(w) = -2*w**2. What is g(j(r))?\nAnswer: 134*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1847*s**3 - 925*s**3 - 912*s**3.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1609408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 41*b**2 + 26*b + 6*b - 51*b**2 wrt b?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 - -4. What is the highest common divisor of n and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -2*b**4\/7 - 2476952*b**3\/7 - 9907784*b**2\/7 - 9907776*b\/7 = 0.\nAnswer: -1238472, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -15*q**2 + 19*q + 9. Let o(l) = 2554 - 2549 + 5*l**2 - 13*l**2 + 10*l. What is 6*g(a) - 11*o(a)?\nAnswer: -2*a**2 + 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 74\/(-6) - 1\/(-3). Let x be 6\/20*2\/c. Let s be (58 + -57)*(0 + 0). Which is bigger: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*l**5 + 6*l**6 - 9*l**2 - 16*l**5 + 11*l**6 wrt l?\nAnswer: 2040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -42 + (-84 + 23 - (0 - 23))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1213.8113 + 1214. What is c rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 165292609 - 10*j**2 - 165292609. Let n(h) = -248*h**2. Give b(n(x)).\nAnswer: -615040*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of -37*g**4\/24 - 4*g**3\/3 + 4*g**2. Let y be r(-7). Suppose 0 = 4*x - y + 59. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 590 and 216?\nAnswer: 63720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1253855, 1 in decreasing order.\nAnswer: 1, -2, -1253855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 16, 1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 8, d: 5, x: 5}. Give prob of sequence dd.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -17*t. Let o(n) = -18*n**2 - 21. Let d(b) = -b**2 - 1. Let h(i) = 63*d(i) - 3*o(i). What is h(a(q))?\nAnswer: -2601*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + 1)\/(-2) + (-36)\/40?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = f + 77, 0*f - 2*f - 74 = -5*b. Let x = 3 + 2. Calculate the smallest common multiple of b and ((-8)\/(-6))\/(x\/75).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14*(87\/18)\/(-29)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -141 = -6*i - 135 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w - 4*j - 134, -3*w + 4*w + 4*j = 91. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1482 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36817?\nAnswer: 11, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 4*a - 20, -3*b = -b - 4*a + 4. Suppose 0 = b*f - 3 - 9. Factor 5*n**3 - 2*n**3 - 2*n - 4 - 4*n - n**f.\nAnswer: 2*(n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9599 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 2*w + 13. Let a(b) = -b**2 - 4*b - 5. Let y(q) = 3*q + 4. Give w*a(l) + 3*y(l).\nAnswer: -2*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -26*x**2. Let s(b) = -4*b**2. Determine h(s(n)).\nAnswer: -416*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/7, -0.4, 3, -314, 728?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*r - 9 = 15*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of r**8\/336 - r**7\/210 - r**6\/120 + r**5\/60 - 21*r**2. Factor q(m).\nAnswer: m**2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - a + 1 = 13, 5*a + 12 = -v. Let b(t) = 2*t - 17. Let x be b(10). Suppose -x*r = 3*r. Solve r = -3*k + v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the third derivative of y**5\/150 + y**4\/20 - 4*y**3\/15 + 34*y**2 - y. Suppose z(r) = 0. Calculate r.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13896481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/1047 - 2891416\/140732505?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 + 9*i**2 + 14*i + 4. Let y be t(-7). What is the second biggest value in y, 1\/4, 7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*u = 35 + 13 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**2 + t. Let k(c) = 7*c**2 + c + 6. Calculate -k(z) + 4*q(z).\nAnswer: -11*z**2 + 3*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -18\/7, -1\/8, -0.1, -4, -3?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 101460\/48 + 1\/4. Suppose -4*b + l = 3*i + 751, 0 = -b - i + 341. Round b to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 31379\/8 or 3923?\nAnswer: 31379\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -57192412 by 2.\nAnswer: -28596206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.3 in -0.2, 2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/2, -0.29, -3118, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of 8*l**6\/5 + l**3\/2 + 83*l**2\/2 + 344*l. Find the second derivative of t(v) wrt v.\nAnswer: 576*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/4 or -3316\/125?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -545*m - 410. What are the prime factors of l(-17)?\nAnswer: 5, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55246617 + 1.4?\nAnswer: 55246618.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 14*c + 16. Let x = 50 - 50. Suppose x + 9 = 3*v. What is the remainder when w(v) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 57249810*c**3*m**3*x**3 - 13*c**3*m**2 - 56*c**3*m*x**3 + c**3*x - c**2*m**2 + 405*c*x**3 - m wrt m.\nAnswer: 343498860*c**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/53 and 9 + 10 + (-9 - 10)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 15 = -i. Let g = 6 - -1. Solve -2*o - 10 = -5*n, o + i*n = g + 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxxnssksxsxkxx. What is prob of picking 2 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3 + 129\/(-12))*-40. Suppose -7*v + 206 = -l. What is the highest common factor of 27 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*-1*sqrt(216) - sqrt(216))\/(sqrt(45)\/sqrt(45)))\/(5*(sqrt(1200) + (5*sqrt(1200)*2 - sqrt(1200)) + sqrt(1200))).\nAnswer: -3*sqrt(2)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**3 - 15*p**2 - 1445*p + 200 - 533 - 237 - 855.\nAnswer: 5*(p - 19)*(p + 1)*(p + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 1373*l**2 + 208*l + 71. Calculate the smallest common multiple of x(5) and 4.\nAnswer: 35436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-102)\/4)\/(34\/8 - 5). Let o = x + -40. Let b(v) = -34*v + 12. Let w be b(o). What is the highest common divisor of 24 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -17437304, -34874613, -52311922, -69749231, -87186540, -104623849?\n\"Answer: -17437309*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 3) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) 3  (b) -2  (c) -1  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + -3. Let r = -1 - w. Let z = -1 + 1. Sort r, 0.4, z in increasing order.\nAnswer: z, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 1458 = -2*t, 5*a = 3*t - 2690 + 470. Calculate the highest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tl when two letters picked without replacement from ttttlttttttttttttttt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sxqf when four letters picked without replacement from ysfqkxfy?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - (-12 + (-2 - -5))) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 + 6*y - 5. Let c(b) = -4*b**2 + 29*b + 2. Let l be c(6). Suppose 2*i + 6 = 3*k, -2*i = -2*k - 30 + l. What is u(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -7*b**3 - 13*b**2 + 11*b + 5. Let q(w) = 3*w**3 + 7*w**2 - 5*w - 3. Let j(u) = 4*o(u) + 9*q(u). Is j(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 91.7 + -92. What is the second smallest value in -5, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2340\/78 - (-4 - (-10 - -15))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -55 + 55 + 50*w + 51*w to l + p*w and give p.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 5, w: 3}. What is prob of sequence ew?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -573\/2 - -6305\/22. Put y, 1\/4, -4, -0.1 in ascending order.\nAnswer: -4, -0.1, y, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 + 9*r + 2. Let i be x(9). Let h(s) = 3*s + 4. Let g be h(i). Suppose g*q - 96 = 6*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) 1\/7  (c) 5  (d) -3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*d*d**(-1\/3)))\/(d*d*d**(-7)\/d)*(d*(d\/(d\/(d**3*d)))\/d)\/((d*d**5)\/d*d) assuming d is positive.\nAnswer: d**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17610.\nAnswer: 2, 3, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 4 + 3)*(-4*f + f - 4*f) to z + n*f and give n.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-5*(sqrt(19) + (sqrt(76))**2 + 1 + sqrt(19)) + (sqrt(19) - 1*sqrt(19)) + 2 + sqrt(1539)*-2).\nAnswer: -1915 - 140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 AM and 11:26 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, -0.7, -2\/57, -36\/601, 0.37, 2\/11, 0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135 = 16*i - 1863. Suppose 2*t = -0*t. Suppose t = -3*l - 9*l + i. What is the highest common divisor of 45 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -414759360 divided by -40?\nAnswer: 10368984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -222*x**2. Let u(r) be the third derivative of r**5\/20 - r**2 - 7*r. Calculate u(b(q)).\nAnswer: 147852*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(77)\/(sqrt(33)\/sqrt(3)*-4) + 4.\nAnswer: -sqrt(7)\/4 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is three halves of a litre in millilitres?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(192)*4 + -5 + sqrt(192) + (5 + -2 + sqrt(192) + sqrt(192))**2.\nAnswer: 136*sqrt(3) + 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - 5. Suppose -9 = r*w - 5*w. Suppose -3*l = -5*b - 34499994, w*b - 2*l + 3617384 + 17082612 = 0. What is b rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (48\/14)\/((-7)\/(-49)). Let d be ((-12)\/u)\/(1\/(-24)). What is the second derivative of -d*f**2 - 14*f - 1 + 1 + 12*f wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26*i**3 + 25*i**4 + 5*i**5 + 867 + 815 - 1682 - 6*i**3.\nAnswer: 5*i**3*(i + 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-106)\/(-3)*(-7695)\/18810 + 15.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3567149 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -4*l - 12. Let m be p(-4). List the prime factors of (m - 8)*(-1077)\/12.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r*(r*r**(1\/4))\/r)\/(r*r**(1\/16)))\/((r\/(r*(r**19*r*r)\/r*r))\/(r*r*(((r*r**(-22))\/r)\/r)\/r)) assuming r is positive.\nAnswer: r**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 5:53 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c - 8 = 10*c. Suppose -y - c = y. Let d be -2 + 4 + (2 - (-8)\/y). Let r(z) = -z**2 + z. Determine r(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1899312\/(-20))\/(-2) + 2\/10. Suppose -4*p + 40517 = -g. What is p rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/6*(-3)\/2. Suppose -30 = 2*t - 4*a, -t + 4 = 3*a - m. Let g = t - -11. Solve 2*u + 1 = -z + 3*u, 3*u + 11 = -g*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 60\/(-8)*(4 + 24\/(-5)). Let q = -53 - -62. Calculate the greatest common factor of q and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 11*o - 10 = 0. Suppose v = o + 3. Solve 10 = v*q - 5*c, 5*q - 2*c - c = 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, x: 4, l: 1, r: 3}. What is prob of sequence rx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l. Suppose 13*n = 3*t + 12*n - 2316, 5*t - 3874 = -3*n. Let f(q) = 0*q**2 - 45*q**2 + 773 - t. Determine g(f(o)).\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2078529506 rounded to 5 dps?\nAnswer: -0.20785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*w**4 + w**3 - 10*w - 3*w**4 + w**3 + w**2 + 4*w to the form m*w**4 + b*w**2 + t*w + o*w**3 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8598992 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2. Let n(g) be the first derivative of -7*g**5\/60 + 27*g**2\/2 - 17. Let x(o) be the second derivative of n(o). Determine x(y(i)).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -3*m + 1145 + 892, 3402 = 5*m + g. Let k = 713 - m. Solve -k = 3*n - 0*n + 4*x, 3*n - 2*x + 2 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 + -15. Let p(i) be the third derivative of i**6\/120 - i**5\/20 - i**4\/12 + i**3 - i**2. What is the units digit of p(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -2.8. Let w = 0.008 + -2.708. Let o = w + 0.7. Is k at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (288\/(-162) - -5) + (6\/(-15))\/((-8)\/(-60))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 399 - 398. Suppose 2*s - 6*s = -1320. Is (s + f)\/(4 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 4*i - 24. Let h(t) = -t + 3. Let r be h(-5). Let l be z(r). Let b(g) be the third derivative of -g**4\/24 + 11*g**3\/6 + g**2. What is b(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/3704 and -43\/8.\nAnswer: 3704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*a - 5 - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of -b**4\/12 - 6*b. Suppose s - 2*a = 5, -5*s + 0*s - 5*a = -40. Let c(f) = s*f - f + 12*f. Determine z(c(m)).\nAnswer: -324*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -80, -3, -0.2 in descending order.\nAnswer: -0.2, -3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 2*h + 10 = -0*h, 2*h = d - 8. Let k(l) be the first derivative of 2\/25*l**5 - 1\/10*l**4 + 0*l**3 + 0*l**d - 2 + 0*l. Suppose k(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(-25)\/(-10)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 620 - 236. Suppose 0 = -5*n + 17*n + k. Let t be 2\/((-4)\/19) + 4\/n. Put 5, t, 4 in descending order.\nAnswer: 5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16186719, 16186717, 16186715?\nAnswer: 16186713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.5 - 0.2. Let a be 282\/8037 + 5\/((-5700)\/(-416)). What is the fourth biggest value in y, -0.5, a, 2\/37?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22 - 21.5. Let z = 80 + -76. Which is the third smallest value?  (a) -1  (b) g  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -0*g + 5*g - 2*y, 8 = 4*g + 4*y. Suppose -q - 16 = 4*h, 5*h + 27 = 3*q + g*h. Let u = 31 + -22. What is the remainder when u is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 44910, 180274, 405872, 721698, 1127746, 1624010?\n\"Answer: -p**3 + 45123*p**2 + 2*p - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 838 = -x + 7162, 2*x - 12672 = 2*j. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*v - 21*v - 17346. Let p be 348334\/60 - 4\/10. Let f = p - v. Find the common denominator of 50\/9 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33490 - -33488. What is the closest to 8 in g, -1, 5, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 472 and 2066888?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 - 28 + 0)*(-27*g + 22*g - 18*g + 0 + 0 + g + (2*g - 6*g + 3*g)*(-1 - 1 + 1)) to l + c*g and give c.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 - 6. Suppose -49 = -s - k*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express l - 4 + 4 + l**4 + (0*l**3 + 2*l**3 - 3*l**3)*(0*l - l + 0*l) in the form t*l**4 + x*l + n*l**3 + p*l**2 + f and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 184204333 and 75848843.\nAnswer: 1289430331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1347466 (base 8) to base 16.\nAnswer: 5cf36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.16 and 768.9084?\nAnswer: -123.025344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 18 = 11*i - 13*i, -2*m = -3*i - 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) -148  (c) -1\/37  (d) 4  (e) -1  (f) -535\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((16\/3)\/((-36)\/(-27)))\/(20\/(-65))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 16*d - 28. Is k(10) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = 5*h - 15. Let k(x) = 2*x + 15. Let z(c) = c + 8. Let i(d) = h*z(d) + 6*k(d). What is the units digit of i(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 PM and 6:53 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 equal to 95\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 4.37279 centuries?\nAnswer: 0.437279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000051 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, -5, -8, 8 in increasing order.\nAnswer: -8, -5, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 4*q = -94, 2*v + 2*q - 6*q = -40. Calculate the common denominator of (v\/(-5))\/(36\/405) and -75\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(((b\/b**(-3))\/b)\/b))\/(b*b*b*b*b**5\/b*b) assuming b is positive.\nAnswer: b**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) 1  (b) 4  (c) 1\/6  (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76611776.\nAnswer: 2, 1197059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s - v = 7*s + 78, 5*s - 4*v = 201. What is the remainder when s is divided by 62\/3 + 4\/(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/6*2)\/(-1). What is the nearest to 2\/9 in t, 2, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11.8 - 77.8. Let o = y - -96. Let r = o + -30.0192. Round r to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from lejeelljeeeeeejeeee.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 29405 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 62225615 to the power of 1\/2, to the nearest integer?\nAnswer: 7888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000040673883 rounded to seven decimal places?\nAnswer: 0.0000407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/(-9))\/(6\/9). Let o be (-9)\/(-15) + 86\/(-110). Which is the nearest to p?  (a) -2  (b) o  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -78b32c0 - 10?\nAnswer: -78b3300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -4*q - 4*u - u, -4*u + 12 = 0. Factor 6\/5*h**2 + 2\/5*h**4 - 2\/5*h + q - 6\/5*h**3.\nAnswer: 2*h*(h - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**2 + q**2 - 5*q**2)*(-2*q + q + 0*q) + (-q + 3*q - 4*q)*(0*q**2 - q**2 + 3*q**2).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 1)\/((-3)\/9). Let j be q*(1 + 0) + -2. Suppose 0 = -z - j + 6. Solve z*v + 4 - 9 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -5*y**3 + 2*y - 4. Let u be k(-3). Suppose f - u = -4*f. Calculate the remainder when f is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 3 - 1)*(158 - 6*q**2 - 158) in the form h*q**2 + b + z*q and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k**2 + k**2 - 6*k**2)*(-2*k + 5 - 5) + 4*k**3 + 0*k**3 + k**3 - k + 27663*k**3 + 2*k - 27824*k**3.\nAnswer: -152*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (350\/(-250))\/(7\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 74 = j. Let d = j + -19. What is the least common multiple of d and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11, -6, -1, 4, 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/10*10\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7.820394 milliseconds?\nAnswer: 0.0001303399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 8*r - 28*r. Let i be (r\/(-27))\/(14\/(-42)). Which is the third smallest value?  (a) -2\/7  (b) i  (c) 0.5  (d) -26\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13377 or -13376?\nAnswer: -13376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 + 2*m - 1. Let c(u) = -3*u**2 + 7*u - 4. Let x(t) = c(t) - 4*w(t). Let g(f) = -3*f**2 - 2*f - 1. What is g(d) + x(d)?\nAnswer: -2*d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + r + 2, 2*r + 0*r + 4 = 3*m. Suppose m = 10*p + 162 - 412. Sort 5, p, -4 in ascending order.\nAnswer: -4, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17 + -15. Suppose 0 = 4*g + 4*u - 32, u - 2 = 3. Suppose -5*h - d = -271, 0 = -s*h - g*h + d + 279. What is the greatest common divisor of h and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i + 7. Let k be c(-5). Sort -3, k, -1.\nAnswer: -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/41275 and 32\/1114425.\nAnswer: 1114425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 41 - 14. Let a = r - 15. Let f(j) = j**2 - 5*j + 9. What is the remainder when f(7) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 3 = 3. Suppose 0 = -5*w + 4*t + 24, k = 3*w + 2*t - 10. Suppose 2 = 2*i - 2. Put w, 1, i in increasing order.\nAnswer: 1, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1464 smaller than -1464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 38685 and 180?\nAnswer: 464220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 6*s - 8. Let g(u) = u - 1. Determine g(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 160.2 * 9318\nAnswer: 1492743.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 0  (b) 7  (c) 0.4  (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/6)\/(-37*(-71)\/(-7881)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(468) + sqrt(468) + -4 + sqrt(468) + 2)**2.\nAnswer: -72*sqrt(13) + 4220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -5*y + 4*x, 0 = 3*x - 528 + 516 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 32, 69, 120?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 20 = -4*o, 0 = -2*o + 5*j - 0*j - 36. Let c(a) = 9 - a - 44 + 12 + 16. Let h be c(o). Which is greater: h or 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -4*r**3 + r**2 + 3*r. Suppose 0 = -43*d + 84 + 2. Let b(t) = -5*t**3 + t**2 + 2*t. Give d*b(w) - 3*x(w).\nAnswer: 2*w**3 - w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-2 - 1) - -18?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.81 - 0.075.\nAnswer: 0.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.4 and -0.05.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -12. Suppose 0 = 5*y - p*n, 0 = -2*y - n + 6*n. Suppose -c = v + 6, -3*v = -y*c + c + 14. Find the common denominator of -15\/2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -175.4237 + -0.1040754?\nAnswer: -175.5277754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 194 a factor of 4127244931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*d**3 - 4542*d + 4542*d)*(-2*d + 2*d - d**2 + (3*d - d - 3*d)*(-6*d + 4*d + 0*d)).\nAnswer: 9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 389.2375l?\nAnswer: 389237.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5468, -5463, -5452, -5435, -5412, -5383, -5348?\nAnswer: -5307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -21*c**3 - 11*c**2 - 17*c + 15. Let o(h) = 3*h**2 - 280*h - 462. Let v be o(95). Let w(b) = -10*b**3 - 5*b**2 - 8*b + 7. Calculate v*w(u) - 6*s(u).\nAnswer: -4*u**3 + u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 99885, 399527, 898935, 1598109, 2497049?\n\"Answer: 99883*h**2 - 7*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 134*j**2 - j - 1. Let y be g(-2). Suppose -61 + 2868 = 17*v - 2497. Let h = y - v. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 4*u = 12, -4*w - 4 = u - 1. Suppose h + 19 = 4*l + 282, h + 3*l - 298 = w. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 2*j + 38, f - 4*j - 54 = 0. Let b(z) = -7*z**3 - z**2 + 2*z + 3. Let v be b(-2). Calculate the greatest common factor of f and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (-13 + 10 + 2 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 3*r = -3*k - 20, -2*r = -10. Let n be (6 + -3 + k)*-1. Let o be (n - 5\/(-2))*2. Which is greater: 2\/107 or o?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 + 42*s + 3. Calculate the remainder when 279 is divided by d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 + 1 = -4*s. Suppose -4*d = 5*j + 35, j - 2*j = 2*d + 7. Let p = s + j. Let b(x) = -x**2 - 3*x + 5. What is b(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385727304 to the power of 1\/3, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18693120 divided by -2.\nAnswer: -9346560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-30 - -41) + 12 + -15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 PM and 4:10 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.6 or -1175545?\nAnswer: -1175545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5248\/3 - -1749. What is the nearest to o in 5, 0.03, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9512 - 1299*s + 9560 - 28635 + 9563.\nAnswer: -1299*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of -71*y**5\/30 + 7*y**4\/24 + y**3\/2 + 179*y**2. Find the second derivative of b(h) wrt h.\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 25736 and 6932?\nAnswer: 44600488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + 3 + 9. Let d be ((-4)\/(-2))\/(v\/(-10)). Suppose b - 9 = 4*h + 2*b, 0 = d*h - 5*b - 20. Is -1 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-580)\/(-4350))\/((-9)\/((-108)\/(-80))).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5142951 divided by 467541.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(75) + 1 + sqrt(75)) + 3 + sqrt(75) + 0 + 1*sqrt(75) + 0 + (sqrt(75) - sqrt(75)*-3) + -4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 - 8*q**2 + 7*q. Let l be g(7). Let k be 6 + (1 - (0 + 3)). Suppose -k*f + l = -276. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of -w**6\/120 - w**5\/12 + w**4\/4 + 2*w**3\/3 - 3*w**2. Let j be n(-6). Differentiate g + j - g**2 - g + 2*g**2 with respect to g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**3*x**(-1\/6)*x)\/(x\/(x\/((x*x**(1\/4)\/x)\/x))*x**(2\/7)))\/((x*x\/x**(2\/7))**35\/((x*x**1)\/(x*x\/x**5*x))) assuming x is positive.\nAnswer: x**(-4343\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -3*n + 3. Let o be m(2). Let j = o - -10. What is the remainder when j is divided by 8\/(-72)*1 - 444\/(-324)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/4002 and -69\/2?\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 + -7. Suppose 0 = -k*r - 0*r + 75. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (387\/(-3870))\/(59\/20 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**2 + 1288*q + 15744 = 0. What is q?\nAnswer: -12, 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -51*14\/(-1428)*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 11*o**3 - o - 4. Let j = -96 - -94. Let b be r(j). Let x = 275 + b. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -87.893 + -0.107. Let o = n - -55. Let g = 33.0284 + o. What is g rounded to three dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3\/10 - 1\/10. Sort b, -7\/2, 0, 1 in increasing order.\nAnswer: -7\/2, 0, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**4)\/(r\/r**(1\/21)))\/((r*r\/r**(-19))\/(r*r**(-7))) assuming r is positive.\nAnswer: r**(-482\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + 10. Let d(j) = -j**3 - 17*j**2 + 4*j + 63. Let u be d(-17). Sort 5, u, -4, o in increasing order.\nAnswer: u, -4, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/5?  (a) 13\/7  (b) 1\/2  (c) 1\/5  (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {n: 2, p: 5, a: 5, e: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*w + 35*w = 2*d + 17, 0 = 2*d - 4*w + 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o - 5. Let h(w) = -2*w + 4. Suppose 0 = 22*d - 48 + 4. Determine d*k(y) + 3*h(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4863.6?  (a) 20  (b) -2  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 + 4390988869950.\nAnswer: 4390988869949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000670847 to 7 decimal places.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*f**3 + 2*f**2 - 136*f wrt f.\nAnswer: 36*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 4289.9955 to the nearest ten.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the third derivative of -b**8\/216 + 4*b**7\/315 + 337*b**6\/135 + 2432*b**5\/135 - 1088*b**4\/9 - 4096*b**3\/27 + 3442*b**2. Let o(a) = 0. Calculate a.\nAnswer: -8, -2\/7, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4 from -356.7236.\nAnswer: -352.7236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/9, -1\/7, 0.04, -10.33, 0.02, 3?\nAnswer: -10.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3960959100?\nAnswer: 2, 3, 5, 7, 59, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 + 50*j**2 + 3*j + 34. Let w(d) = -d**3 + 1. Let a(o) = 3*w(o) - x(o). What are the prime factors of a(-25)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/104880 and -83\/31464.\nAnswer: 314640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -124*t. Let m(o) = -8041*o**2 - 11*o + 2. What is u(m(f))?\nAnswer: 997084*f**2 + 1364*f - 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 12:12 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 1. Let g(f) = 8*f**2 + f - 6. Let v(w) = g(w) + 4*j(w). Let k be v(1). Suppose k*i = i + 156. What is the greatest common factor of 52 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 502749 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (840\/(-27))\/5 + 0 + 6. What is the second biggest value in p, 50\/23, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a*a*(a\/a**(-3))\/a)\/a)\/(a\/(a*a**(1\/7)*a)))\/((a\/(a\/(a**(-4)\/a*a)))\/a)**(-7\/6) assuming a is positive.\nAnswer: a**(13\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + -13 + -1 + (-4 - (10 - -41))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 102 = 5*m, -3*m + 845*h = 1690*h - 847*h + 67 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(112) + 1 + sqrt(112)) + -1*(-2 + sqrt(7))**2*-5.\nAnswer: 61 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 95 - 89. What is the smallest value in -0.3, -3\/2, s?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -3*p - 15. Let a be v(-10). Let h = 12 - a. Sort -0.1, h, -1 in descending order.\nAnswer: -0.1, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 100 + -102. Let n be 12\/(h - -4) - 1. Suppose -1090 + 120 = -n*z. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -11 + 80?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1538 times 733?\nAnswer: -1127354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36*r**2 - 84*r**2 - 1050*r - 5*r**2 - 2205.\nAnswer: -5*(5*r + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnb when three letters picked without replacement from {b: 5, n: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4260 and 7460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11*m**2\/5 - 178*m + 6864\/5.\nAnswer: -(m + 88)*(11*m - 78)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (45 + -83 - -41) + -38 + 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 137.07 + -138. Let j = f - 0.07. What is the nearest to j in -1\/4, 3, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - 5*h - 14, 4 = -2*j - 4*h - 0*h. Solve -5*p = i - 12, -5*i - j = 3*p - 0*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119968 = 51*n - 43*n. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qkqkqkqkqkkqkqkqkkkq. Give prob of picking 4 k.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1979?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 6\/5 of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2146089547 rounded to the nearest 1000000?\nAnswer: -2146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -2*z**2 - 49*z + 10. What is p(-25)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000058166969 rounded to seven dps?\nAnswer: 0.0000582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-94*h + 24*h - 65*h)*(4*h - 5*h + 2*h - 3*h**2).\nAnswer: 405*h**3 - 135*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 u when three letters picked without replacement from {u: 7, z: 1, d: 2, q: 2}.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6*a**3*k - 258*a**3*o**2 + 79*a**3*o + 3*a**2*o**2 + a**2*o - 408*k*o**2 wrt k?\nAnswer: 6*a**3 - 408*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 136 divide 1295434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 126\/6*(-70)\/168*4*1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 22212301212 (base 4) to base 14\nAnswer: 525302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 - 3 + 3)*(-6*c - 1 + 1)*(-8*c**2 + 3*c**2 + 0*c**2).\nAnswer: -30*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 + 4*o - 3. Let b be (4 + 2)*(-260)\/15. Let c be b\/3 - (-12)\/18. Let q = -31 - c. What is u(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-2) - (0 - 3). Let j(a) = -a**3 + 4*a + 0*a - 3*a - 4*a + 1 - 7*a**d. What is the units digit of j(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.057144 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - u + 4 = 11, 2*b + 5*u = -21. Let q = 4 + -3. Solve -b*x = 3 - q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6041 or -5935?\nAnswer: -6041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/17346 and -113\/84?\nAnswer: 34692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 1 = u, -60*u + 58*u = 2*g + 2. Let o(x) = 91*x. Let m(q) = -9*q. Give u*o(l) - 21*m(l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 + t**2 - 7*t + 2. Let y(n) = 3*n**2 - 21*n + 5388. Give -3*o(g) + y(g).\nAnswer: -3*g**3 + 5382","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 + 7 = 5*i. Let f(j) = -j**2 + j - 7. Let b be f(0). Let g(w) = w + 12. Calculate the remainder when i is divided by g(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 96479*o**2*y**3 - 11*o**2 - 7203*o*y**3 - 11*y**2 wrt o?\nAnswer: 192958*y**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**3 - 13*j**2 - 13*j - 10. Suppose -5*t = -5*n, -3*n + t = -8*n + 24. Calculate the least common multiple of k(-12) and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - 0. Suppose -1449*n + 5*m + 18 = -1452*n, -3*m = 18. Put -9, x, n in ascending order.\nAnswer: -9, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 23 + -26.2. Let r = y - 10.8. Let d = r - -8.1. Round d to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 129*-34\nAnswer: -4386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-112)\/140)\/(6\/(-15)). Solve 5*m + 12 = b*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 50696368 to the nearest integer?\nAnswer: 7120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - 8 - (-5 + 16 + -8 + -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 3 = 5*y - 5, 3*y = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 161424366 to the power of 1\/2, to the nearest integer?\nAnswer: 12705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 0, 2, 5, -5, 7, 56 in decreasing order.\nAnswer: 56, 8, 7, 5, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - o - o**2 + o + (-3896*o - 13671*o - 830*o)*(3*o + o - 5*o) - 2*o + o**2 + 2*o to h*o**2 + c + g*o and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -24*n + 1 + 4*n**2 + 24*n - 3*n**2. Let r(g) = g**3 - 6*g**2 - 6. Calculate r(f) + 6*z(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9 and -146.\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1976, -2014, -2052, -2090?\nAnswer: -2128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30228)\/27709*(21\/35)\/(2\/5).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/7  (b) 2\/5  (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**2 + 464*s.\nAnswer: -4*s*(s - 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -7b (base 15) in base 3?\nAnswer: -11022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5735310 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 - 32*m - 137. What is v(-27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 2*w**2\/7 - 958*w\/7 - 960\/7 = 0.\nAnswer: -1, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 6*x - 16 = 0. Let n(z) = -2*z**3 - 16*z**2 - z - 5. Does 3 divide n(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 18\/(-18)*5*1. Put q, 0, -1 in increasing order.\nAnswer: q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -2*m + 2*m - 19*m - 18*m. Let o be i(-1). Let z = -31 + o. Does 5 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express l + l**3 + 0*l - 26*l**2 + 25*l**2 - 1 in the form v*l**2 + n*l + p + c*l**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwgwwgw?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*n**4 + 3*n**4 + 8*n**4 + 11*n**4 + (20*n - 8*n + n)*(-8*n**3 + 6*n**3 - 11*n**3) in the form z + p*n + x*n**2 + a*n**3 + c*n**4 and give c.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-418)\/(-46) + 652\/(-92) + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15522 and 567840?\nAnswer: 113000160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c. Let m be 16\/32 + (-2679)\/(-2). Let u(w) = -1340 - 10*w + m. What is u(l(i))?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12631378?\nAnswer: 2, 2377, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32)\/(-12) - (-3 + 24\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -100114.277 times 1\nAnswer: -100114.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 18*w - 16*w + 3*w. Let l(p) be the second derivative of -p**3\/3 + p. What is l(f(v))?\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 758 + -307. Let p = -451.000209 + a. Round p to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 95971485 and 430.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 4*r**3\/7 + 136*r**2\/7 + 836*r\/7 - 5776\/7 = 0.\nAnswer: -19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 5 = -24*c + 27*c, 3*k = 5*c - 19 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 76*x**3 - 7*x**2 - 11*x + 7. Let i(n) = -37*n**3 + 3*n**2 + 5*n - 3. Calculate -7*i(y) - 3*o(y).\nAnswer: 31*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -2*o - 14, 3*z - 19 = -19*o + 24*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18973654 by -6.\nAnswer: -9486827\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.08 from 7579.\nAnswer: 7579.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -953*l*v**2 + l*v + 6735023*l + 34220*v**2 with respect to v.\nAnswer: -1906*l*v + l + 68440*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10 - 3) + -5 + (-32 + 11 - -51)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.17383 - 338.86617. Round p to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*a**3*q**2 - 143687*a**3*q + a*q**2 - 836*a*q + 138*q**2 + 3*q + 4 wrt a?\nAnswer: -60*a*q**2 - 862122*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -3*b**5 + 66*b**4 - 336*b**3 = 0.\nAnswer: 0, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 + 6*b - 5. Let f be r(4). What is the units digit of 37\/f + (-3)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from ppvvvpppppvv.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -4*o**2 - 510 - 3*o**2 + 8*o**2 + 5*o + 496. Determine p(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 + 24. Let h(u) = u**2 + 5*u + 1. Let c be h(-6). What is the second derivative of 5 - 12 + c - 8*k + j*k**2 wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-8) - (-49)\/(-20))*(-1530)\/(-153).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3073379 and 45.8?\nAnswer: 3073424.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1728) + 1*sqrt(1728))\/(sqrt(54)\/(sqrt(9)*-4)).\nAnswer: -96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 152202 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -359744 or -359742?\nAnswer: -359744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + q = 3*q - 10, -5*i - q + 5 = 0. Suppose 4*c - 2*f + 2050 = 0, -c - 4*f + f - 495 = i. Round c to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 160 - 122. Suppose 36*c + 30 = x*c. Calculate the remainder when c is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 52776?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1555*v - 10 = -3099*v + 1547*v - 1, 2*v + 24 = -6*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -3*u + 12 - 19*u + 27*u - u - 3*u. Let c(v) = v**3 + 4*v**2 + 2*v - 1. Let r be c(-3). What is the units digit of b(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**1)**1*(q\/(q*q**4))\/(q*q**0\/q*q) assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 79 = -4*k + j, 4*k + j = 336. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-7)*g**8)**(-1\/9) assuming g is positive.\nAnswer: g**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2174985 - 326?\nAnswer: 2174659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*j, j + 42 = -5*v - j. Let r = v + 14. Calculate the least common multiple of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 508 is divided by 130.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (11*-5)\/(-1) - 2. Let n be 16 - (0\/(-4) - -4). Let j = h - n. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/5  (b) 1\/5  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -4*z**2 - 2642*z + 3. Give l(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 1604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -713, -1412, -2095, -2762, -3413, -4048, -4667?\nAnswer: -5270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x**3 + 58*x**2 + 60*x + 38. Determine f(-28).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/45 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 50386093171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -39*v + 39. Let o(g) = 3*g + 0 - 15 + 7 + 5. Determine 27*o(n) + 2*t(n).\nAnswer: 3*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -4*n**2 + 19*n - 16. Let k(y) = 11*y**2 - 54*y + 47. Let m(j) = -8*h(j) - 3*k(j). Calculate m(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 412 divided by -1.\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10*f*g**2*t - 1994*f*g - f*t + 2*g**2*t - 2*g**2 + 1375*g + 3 wrt f.\nAnswer: 10*g**2*t - 1994*g - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l + 3, 5*c - 229*l + 227*l = 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 182*o = 178*o + 44 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y**3 + y**3 + 124*y**4 - 87 + 100 + 98 - 114 + 2*y in the form o*y**4 + a + w*y**2 + p*y + d*y**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2403330341 (base 5) to base 15\nAnswer: 74294b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2735 or 2736?\nAnswer: 2736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 264*p**2 - 5*p - 5. Let j be d(-1). Let x = 407 - j. What is the greatest common factor of x and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qfss when four letters picked without replacement from fsseesqessssssssesq?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 594*m - 34447. Calculate v(58).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 154 + -204. Let d be 16 - ((-22)\/55)\/(4\/r). Do d and 13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 15, g: 3}. Give prob of picking 1 g and 2 k.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*i**2 + i + 7 - 3 + 16*i**2 to z*i + a + d*i**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t - 13. Let m(o) = 45*o + 205. What is 15*f(x) + m(x)?\nAnswer: 60*x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of 2*w**5 - 4*w**2 + 9. Find the second derivative of h(u) wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 1.9. Let r be 27\/(-2)*(-4)\/6. Suppose -10*v = -r*v - 2. What is the second smallest value in -2, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3310\/749 - -108\/107. Suppose -6*c + 4*c = -8. Suppose -c*f + 3*f = 2*m + 3, f = -5*m - 6. What is the second biggest value in k, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 - 165 = -8*t. Let m = -22 + t. Solve 2*p = -g + 5, 4*g = -5*p + 6 - m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1326168185?\nAnswer: 5, 67, 409, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -133 + 231230?\nAnswer: 231031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/120 and 61\/26192.\nAnswer: 392880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*z - 302 = -860. Suppose -5*v = -m - 70, -4*m = 4*v - z - 25. Calculate the remainder when 32 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - h - 196 = 0. Let w = -92 - h. Calculate the remainder when 20 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*w + 9630 = -4943 + 87712. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -61350000 rounded to the nearest 1000000?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*m - 2. Let s be 15*((-15)\/9 + m). Let b be (s\/(-2) - 1)\/2. What is the third smallest value in b, 0, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20124 (base 5) in base 7?\nAnswer: -3521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1013035 + -1?\nAnswer: -1013036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 - 12*u**2 + 13*u - 8. Let a be (2\/6)\/((-1)\/39). Let w be l(a). Does 7 divide (-138)\/w - 9\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2181)\/6 - 1) + (-4)\/8. Let r = p - -405. Calculate the greatest common factor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + 6*n - 5*n)*(-15*n**2 + 5*n**2 + 5*n**2).\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3025*r**4\/2 + 509630*r**3 - 43435983*r**2 + 85349126*r - 84842521\/2 = 0. What is r?\nAnswer: 1, 9211\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*t + 0 + 0 - 3*t**2 wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 0.5  (b) -3  (c) -1\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - -2. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-16 - 2)*-1*(-16)\/(-12). Let c be (h\/(-16))\/(-2 - (-9)\/6). Suppose p = c*p - 254. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 3*i - 12. Solve -2 = -i*v + 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -81773 times -107?\nAnswer: 8749711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30 - o + 1 + 76)*(0*o - o - o).\nAnswer: 2*o**2 - 94*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0, 3\/11, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19001, 37717, 56317, 74801?\nAnswer: 93169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 - (-1)\/(-1)) + -8. Let h(t) = -3*t**2 - 2*t. Let p be h(-1). Which is bigger: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01363767111 rounded to 4 dps?\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -421*v + 414*v + 1806. What are the prime factors of v?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94.5049 kilometers in nanometers?\nAnswer: 94504900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 43*x - 3. What are the prime factors of y(3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1516156 a multiple of 539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.07 - 3.93. Let z = -1.06 + 1. Let l = z + 1.06. Which is the biggest value?  (a) q  (b) l  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 744 and 110877.\nAnswer: 27497496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/q**(-10))\/q)**(-4\/7))**2 assuming q is positive.\nAnswer: q**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y - 2456 + 0*y + 30*y**3 - 31*y**3.\nAnswer: -y**3 - 2456","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 20745 + 6133?\nAnswer: 27100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -260432 - -433?\nAnswer: -256666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1 + -6738.\nAnswer: -6738.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 333 = 5*x + 32*x. Suppose -2*t - t = -27. Calculate the highest common divisor of x and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/((1 - 5) + 3) + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 17, -113, -399, -841, -1439, -2193?\n\"Answer: -78*g**2 + 104*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-54)\/12 + 2 + 2. Let z = 1 + -2. Let s = 6 - 11. Which is the closest to d?  (a) z  (b) 0.1  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -95000, -190009, -285030, -380069, -475132, -570225, -665354, -760525?\nAnswer: -855744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(363) + 2)**2 - sqrt(363) - sqrt(363)) + -4)*-1 + (-1 + (sqrt(363) + 1 + sqrt(363))**2)*4*1.\nAnswer: 44*sqrt(3) + 3610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1149 - -5?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1194)\/(-27) + -2 + (-16)\/(-9). Suppose j = 10*s - 6*s. What is the smallest common multiple of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3563 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -148537597*g**4 - 135072939*g wrt g.\nAnswer: -1782451164*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 4*v - 7 = -0*v, -5*o + 29 = -2*v. Suppose -5*m - o*w + 100 = 0, 7*m - 4*w - 32 = 4*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42 + 5 - 13)*(4*k - 2*k - 2 - k).\nAnswer: 34*k - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.01 and -48.8491422.\nAnswer: -48.8391422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*w - 22205*w**2 + 0*w**4 + w - 1 + 22193*w**2 - 1 - w**4 to o*w**3 + y*w**4 + f + s*w + k*w**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-9 - (11 + -20)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1959946 (base 13) to base 16.\nAnswer: -7f253b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(-12) + (-3)\/((-24)\/(-284)). Let u be (1 - 0)\/(2 - (-63)\/m). Let r(z) = z**2 - 4*z + 1. Determine r(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.5  (b) 0.08  (c) 4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.57 in -90, -7, 3\/7, -2\/571?\nAnswer: -2\/571","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3910\/14 - 0 - (-324)\/(-1134) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 4908\/18*420\/40 - (-3 - -2)?\nAnswer: 14320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -5*m + 3. Let h(b) = 3 - 6*b**4 - 6*b**3 - 11 + 1. Let s(p) = p**4 + p**3 + 1. Let z(d) = m*h(d) + 21*s(d). Factor z(f).\nAnswer: 3*f**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2815963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 2*s - 2. Let v(k) = k**2 + 41*k - 7. What is the least common multiple of 0 - 22*s\/4 and v(-42)?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**5 - 24*m**4 + 32*m**3 + 24*m**2 - 36*m.\nAnswer: 4*m*(m - 3)**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 128341.\nAnswer: 128341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + -336?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -100*c**6 + 184*c**4 + 13667*c**2 + c.\nAnswer: -12000*c**3 + 4416*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (5 - (1 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.2263+0.6\nAnswer: 0.3737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 4*n = -12. Let m be (-8)\/6*(-6)\/n. Let y(v) = -309*v + 1547. Let d be y(5). Solve -2 - d = m*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 15, 6, -2, -8.\nAnswer: -8, -5, -2, 1, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*f**4 - 2061*f**3 + 1148*f**2 - 26427575*f wrt f?\nAnswer: -36*f**2 - 12366*f + 2296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of -c**3\/3 - 2*c**2 - 9. Suppose g(a) = 0. What is a?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 15*m. Let c(y) = -14*y + 1. Let x(r) = -5*c(r) - 6*u(r). Let h(a) = 280*a + 70. Let t(g) = -4*h(g) - 55*x(g). What is the units digit of t(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10386c (base 13) to base 8\nAnswer: 1344676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 232252680 and 77417560.\nAnswer: 232252680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 4*l + 33. Solve -6 = 2*j, -l*b + 4*j = -2*b - 32 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = -0*n - 3*b + 14, -3*n = 3*b - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-16)\/6 + ((-800)\/(-48))\/25. Let y(q) = -1. Let n(h) = -6*h - 8. What is d*n(j) + 18*y(j)?\nAnswer: 12*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 20*k - 23*k + 10 = 0, s = -5*k + 8. Solve g + 5 = 0, -5*n - s*g - 35 = -9*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 5  (b) 0  (c) -5185  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-192)\/48*(-10)\/1. Sort -1, x, 5, 2 in decreasing order.\nAnswer: x, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31795 is divided by 997?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-27)\/((-3564)\/24) + (-23)\/(-55))*-15\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -4*b + 36, -40 = -4*b - l - l. Let u = b + -8. Suppose -u = -2*g + 2. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101 = 6*a + 5. What is the highest common divisor of a and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v - 7. Let q(t) be the third derivative of t**6\/120 - t**5\/60 - 4*t**3\/3 + 5*t**2. Let x be q(0). What is the units digit of b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 20 - 4. Solve 3*z + 16 = -4*q, 0 + 16 = 2*z - x*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25638112 divided by 12819056.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -281 = -3*c + 2*a, -13*a + 18*a = -5*c + 510. Sort c, 1, -1 in decreasing order.\nAnswer: c, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -89*n + 92*n - 20 + 20 + 26. Let j(u) = 2*u + 17. Let r = 10 - 5. Let t(m) = r*b(m) - 8*j(m). Determine t(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z + 13. Let a be b(0). Let d = -277 + 151. Let p = d - -178. What is the highest common factor of a and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(28)\/sqrt(4) - (-2 + -2 + sqrt(7))) + 3.\nAnswer: 7 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 250?  (a) 0.5  (b) -0.178  (c) 6  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/42412 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 234484638 and 34?\nAnswer: 234484638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*y + 2 = 77*y. List the prime factors of ((-3)\/(-1 + -5))\/(y\/88).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is e09 (base 15) in base 13?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 76, 310, 700, 1246?\nAnswer: 1948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 189426 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1001000100011010010100 (base 2) to base 7\nAnswer: -26131043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 1623*l = -1628*l + 15, -4*d - 2*l + 18 = 0. Solve -d*n = 5*x - 6*n + 11, x = -5*n - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 3 - 4)*(-22*d**2 + 2*d - d**2 - 97 + 26*d**2) to the form w*d + p + m*d**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1442121552 (base 6) to base 12\nAnswer: 60502b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3549913 + 3549913 - t**5 - 144*t**3 - 508*t**2 wrt t?\nAnswer: -60*t**2 - 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14979953 a multiple of 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2*17\/((-238)\/(-56))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1194970 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 681 + -682. Which is greater: -8\/85 or n?\nAnswer: -8\/85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 546409407?\nAnswer: 3, 349, 521881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 7326427 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 221084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 - 261661130?\nAnswer: -261661132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.022101*1375.\nAnswer: -30.388875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the third derivative of -23*l**5\/10 + 41*l**4\/12 + 68*l**2. What is the second derivative of t(h) wrt h?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7.68 - 16.32. Suppose 3*j + 3 + 6 = 0. Sort j, t, -3\/4 in descending order.\nAnswer: -3\/4, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21 - 21 + 9*m)*((-4 - 1 - 4)*(0*m + 2*m + 0*m + 1) - 4*m + 5*m - 2*m).\nAnswer: -171*m**2 - 81*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oo when two letters picked without replacement from kkookkkkkkk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58652?\nAnswer: 2, 11, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -35892*i**3 + i**2 + 3*i - 1255 wrt i.\nAnswer: -215352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 7*i = 7240. Suppose -3*m + 1183 = -i. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 0 - 2 + 12*k**2 + 2*k**2 - 21*k + 3*k**3 + 4. What is the units digit of s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 - 2*t + 1. Let l be n(1). Let j be (-1 - l) + 2 + 5. Let c = j - -20. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7189 is divided by 1796?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 367 + -365. Suppose 4738 = 5*r - 4*n, p*n + 4734 = 56*r - 51*r. List the prime factors of r.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the third derivative of j**5\/105 - 4*j**4\/21 - 40*j**3\/21 - 327*j**2 + j. Determine f, given that o(f) = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/(y\/(y**(1\/3)\/y)))**(-1)*y**5\/y*y**6)**(-1\/39))**(-15) assuming y is positive.\nAnswer: y**(160\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16*f*l**3*q**2*z + 2*f*l**3*z - f*z - 10*l**3*q**2*z + 2*l**2*z + 56*l*q*z wrt q?\nAnswer: -32*f*l**3*z - 20*l**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 3*a**3 + 9*a**2 - 27*a - 6. Give w(-7).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-100)\/(-36) + (-2)\/(-9). Suppose -z*s - 96 = -0*s. Let d = s + 53. Calculate the remainder when 62 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1055535?\nAnswer: 3, 5, 13, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 3*a. Let y(f) = f**2 + 5*f + 3. Let u be y(-3). Let g(m) = -7*m - 1. Let h(d) = u*g(d) - 6*c(d). Calculate h(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 4*p + 27. Let s be (-2)\/(2\/p)*-2. Calculate the lowest common multiple of (-3)\/(6\/s)*1 and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 386536279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(0 + 1 + 4\/(-3)). Let o = 39 + -43. Let y = o - -4. Solve h*q - 2*q - 20 = y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t + 1. Let c(i) = 2*i - 17. Let l(m) = -m + 6. Let f(z) = 4*c(z) + 11*l(z). Calculate f(d) + 2*v(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3606 is divided by 129?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2331107513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -19 - 1097b?\nAnswer: -10997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11000101 (base 2) to base 12.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1144835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*j + 14. Suppose -j*o = -3*r + 72, -6*o = r - 11*o - 36. Suppose r = 3*b - 2*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 613*z - 451*z + 12 - 77 + 32 to the form p*z + l and give l.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 17707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m = -13*m + 48. Suppose -10*h + 6*h = -m. Solve 2*p + h*p = 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -145505, -145504, -145503, -145502, -145501, -145500?\nAnswer: -145499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 345511452 - -130?\nAnswer: 345512022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 102?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1120 and 3020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -5 + 3*k**2 - 4*k**2 + 0 + 0*k**2. Let u be 24\/(-6) - (-8)\/2. Let y be v(u). Let a(f) = -f**3 - 6*f**2 - 8*f - 3. What is a(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2434.3 * -0.4\nAnswer: 973.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 + 7*h + 10. Let c be b(8). Let v be (-9)\/((-45)\/c) + 3. Let r = 21 + v. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*r**3 + 4*r**3 + 0*r**3 + (26*r + 27*r - 52*r)*(21*r - 21*r + 24*r**2) as a*r**2 + y*r + s*r**3 + x and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 50.8 + -55.8. Let o be (-1)\/(8\/6*5\/20). Put o, r, -1\/5, 3 in ascending order.\nAnswer: r, o, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/(t*t*t**(-2))*t*t*t)**(-9)\/(t**(-1\/5)*(t*t**(-1\/3))\/t) assuming t is positive.\nAnswer: t**(-667\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1495*o + 13952 - 22698 = -67051 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1371.92 less than 9024.4783?\nAnswer: 7652.5583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 786 * 1.28781.\nAnswer: 1012.21866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of 19*z**6\/2 - z**5\/5 - 2*z**3\/3 + 33. Find the third derivative of l(j) wrt j.\nAnswer: 3420*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10610951 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -8803*g + 7511. Is y(-26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18933*d + 23112 = 18904*d - 37516*d for d.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-3 + (6*sqrt(26)\/sqrt(2) - sqrt(13)))**2.\nAnswer: -1336 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 18?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-2024)\/230)\/((-319)\/(-2030))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000111293 rounded to 6 dps?\nAnswer: -0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -75316650 divided by -6\nAnswer: 12552775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {z: 3, a: 1, o: 4, s: 4, d: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) + 3)*-5.\nAnswer: -15*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -282088399, -282088389, -282088377, -282088363, -282088347, -282088329?\nAnswer: -282088309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 69\/2 + -37. Let q = y + 27\/10. Which is the second biggest value?  (a) 5  (b) 0  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 l when three letters picked without replacement from jlajjkkjl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 - 6*f**2 + 3*f - 14. Determine a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cvg when three letters picked without replacement from jjvjjjjgjcjgj?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5122882 - 1306436 - 3288423 = -309*b. List the prime factors of b.\nAnswer: 3, 11, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73662 is divided by 18108.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 107 - 16 = 0. What is the greatest common factor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 165 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*m**4 + m**4 - 9*m**4)*(9 - 135 - 19) to the form r*m + s + d*m**2 + a*m**3 + y*m**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10203 - 10203.04. Let k = 8 - 8.5. Which is the third biggest value?  (a) -11  (b) n  (c) -4  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 5*u - 43 = -17, 0 = -2*u + 8. Suppose 0 = 2*i - w, 4*t + i - 19 = 2*i. Let o = 21 - t. What is the remainder when 31 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -10*d - 36 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 5:12 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*l - 3*l. Suppose l = 3*j - 8*j - 5*f + 475, -435 = -5*j + 5*f. Calculate the highest common factor of 182 and j.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g + 1. Let y be z(-6). Suppose 0 = 5*m - 27 + 2. Sort -2, m, y.\nAnswer: y, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*a = 12*a. Suppose -2*b = -397 - 93. What is the remainder when b is divided by ((-168)\/(-4) - a) + -1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19*u**4*x**3 - 5360*u**4*x - u**2*x**3 - 28*u + 566*x wrt u.\nAnswer: -456*u*x**3 - 128640*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**6\/x**(1\/8)*(x*(x\/((x\/x**(1\/9))\/x)*x)\/x*x)\/(x\/x**(-2)))**50 assuming x is positive.\nAnswer: x**(10775\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 6*f**2 + 4*f + 3. Let m be i(-2). Solve -3*r = -m + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1315704+-1.15\nAnswer: -1315705.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 28, 1, 11 in descending order.\nAnswer: 28, 11, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x + 6. Let k be l(-11). Let g = -7 + k. What is the units digit of g\/(5 - 1) - -22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21 by 79150.\nAnswer: 21\/79150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 757958.0454 - 0.0454. Let n = 757840.9841 - g. Let p = n - -117. What is p rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -9 + (296\/740 - 12\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6064784 divided by 4054?\nAnswer: -1496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/3 and 0 - (3 + (-138)\/27).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 17 = -2*h - 21, 4*j + 5*h = -29. Let l be (-2)\/12 - j\/(-33). Let c be (-2)\/8 + (-13)\/(-20). Which is greater: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -51\/841817 and -26\/6909.\nAnswer: 123747099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2049595 rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 9. Let a = 7 - k. Sort 0, a, 2 in decreasing order.\nAnswer: a, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -542427 by 180809.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2262*g - 9986*g + 10032*g - 10198*g - 10021*g)*(3 + 4 - 5).\nAnswer: -44870*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 124*b**2 - b + 119*b**2 - 241*b**2 + 2*b**4 as f*b + h*b**2 + x*b**4 + y + u*b**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express o**3 + 8*o**3 + 3*o**3 + 4*o**4 - 4*o**3 + 2*o**2 in the form p*o**2 + k + w*o + i*o**4 + q*o**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -196, -0.2, 118?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/2)*x)**(2\/27)*((x*x*x\/(x**(2\/7)*x)*x)\/x)**(-4\/11)*((x**2)**(3\/2))**50 assuming x is positive.\nAnswer: x**(310631\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 154 and 525?\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 5*a**2 + 2 - 3*a**2 - 3 - 3 + 10*a. Let o(b) = b**2 + 5*b - 2. Let k(u) = 3*n(u) - 5*o(u). What is k(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 605738256?\nAnswer: 2, 3, 47, 268501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 57 = 29. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i - d + 18 = i, 10*d - 729 = 2*i - 789 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 5, 31574, 0 in decreasing order.\nAnswer: 31574, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 2*w + 18. Let y be k(-8). Sort 4, -3, y.\nAnswer: -3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/7*b + 0 - 18\/7*b**2 - 8\/7*b**4 + 24\/7*b**3.\nAnswer: -2*b*(b - 2)*(2*b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1692, 2, 1, 78.\nAnswer: 1, 2, 78, 1692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 2. Suppose -29 = -2*g - 19. Put g, p, -4 in descending order.\nAnswer: g, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/20*(-432)\/12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85.8792ms to seconds.\nAnswer: 0.0858792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 v when three letters picked without replacement from {v: 3, z: 4, o: 6, i: 1}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 0.2  (c) 6\/11  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1\/19 - -8\/209. Which is the third smallest value?  (a) x  (b) 8  (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 654914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 10 + 40 = 0. Let d(t) = 2*t**3 - 7*t**2 - 8*t - 50. Does 8 divide d(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.93 times -0.1?\nAnswer: -0.693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*j + 12 - 72 = 0. Let y(c) = 4*c**3 - 7*c**2 + 9*c - 2. What is the tens digit of y(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -27, 1, -4 in ascending order.\nAnswer: -27, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4801*r + 4651*r - 2220 = 9341*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v = -14*v + 16*v. Which is the second biggest value?  (a) 1  (b) 5  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-6)*(1\/6)\/((-20)\/(-4080)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1544536363 rounded to four dps?\nAnswer: -0.1545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -3*v - 1. Let r be i(-11). Suppose 3*n - r - 58 = 0. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (2 - 3)) + (0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*o**3 + 296406*o**2 - 38*o - 5467 wrt o.\nAnswer: 18*o + 592812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h + 2. Let o be a(0). Suppose 80*p + 51*p - 53*p = -62*p. Solve x + 5 = 3*t, p = o*x - x - 5*t + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Solve 4*r + y = -1032 + 1030, 5*y + 10 = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17850588 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.65 in 5, -0.4, 1.2, 1\/348?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 10*q - 144. Give n(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 c when three letters picked without replacement from tttcttttttttt?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002587286755 rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -8*t**3 + t + 1. Let j be h(-1). Let y = j + -6. Let k = 6 - y. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17\/218?  (a) 0  (b) -5  (c) 2\/11  (d) -15  (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1245045 is divided by 71?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1726.2 and -10.\nAnswer: 17262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9926576 grams to milligrams.\nAnswer: 992.6576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 311805058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/(-4))\/((-1)\/(-4)). Let d(w) be the second derivative of w**5\/10 + 4*w**4\/3 - 7*w**3\/2 + 5*w**2\/2 + 37*w. Let g be d(-9). Sort t, 0, g.\nAnswer: t, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-3 + -4*(-5 + sqrt(13))))**2 + (sqrt(26)\/(sqrt(2) + (sqrt(2) - sqrt(2)*-2)) + sqrt(13)*5*-5)**2.\nAnswer: -4896*sqrt(13) + 413685\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.097 + 1.097. Which is the third biggest value?  (a) 5  (b) -5\/4  (c) -7  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 8:14 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 - -20 - 3) + -3. Solve -n = -g + 3, 2 + x = -5*n + 3*g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26673277 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: Calculate prob of sequence dp when two letters picked without replacement from udydydypyydydy.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 298375 is divided by 148861?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 151 - 103. Let c = -16 + g. Is c at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -169 - -76. Find the common denominator of 77\/8 and 75\/(-10)*h\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*j + 3011842 - 3011842.\nAnswer: 35*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/8 + (-21)\/(-4). Suppose 6 - 21 = -c*g. Suppose 0 = 5*w - 0*p + p + 11, g*p + 3 = -5*w. Let q(a) = a**3 + 3*a**2 - 4. What is q(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14212431 (base 7) to base 5.\nAnswer: 320043213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 + 15. Find u such that -8*u**5 + i*u**5 + 3*u - 6*u**3 + 5*u**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/20*-14*-48. Let t = i + -165. Solve k + 3*k + 13 = t*p, -4*k + 5*p - 11 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 864\nAnswer: 1\/864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 1. Let z(l) = 2*l - 11. Let t(j) = -6*b(j) - z(j). Let g be t(-10). Solve -g = -6*s + s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 126*h**3 + 90. Let s(k) = k**3 + 1. What is 180*s(b) - 2*v(b)?\nAnswer: -72*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/(-18))\/(145\/522).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 855938636?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4576734662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*t, -5*t + 3983 - 946 = 3*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -3*z**2 + 99*z - 1. Let p(b) = 2*b. Give -g(s) + 6*p(s).\nAnswer: 3*s**2 - 87*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -381 - -382. Put d, 29, -5\/2 in increasing order.\nAnswer: -5\/2, d, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 5*r + 7. Let f be y(-5). Let t be f\/54 + (-13)\/(-3). Suppose t*h = -4*h + 104. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*b**3 + 0*b**3 + 1 + 77*b - 79*b - 3*b**3 + 495*b**2 + 0*b**3 in the form p*b**3 + a*b + v*b**2 + f and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-one sixths of a year?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that o**2 + 207056*o + 10718046784 = 0.\nAnswer: -103528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 3*a - 10, 0*r + 4*a + 20 = 4*r. Suppose 1812 = -j + r*z, 5*z = j + j + 3614. Let p = -1083 - j. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*h - 61*h = 112 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 92618.87 from -47.\nAnswer: -92665.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 15) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 0 - 13*m + 2*m + 4.\nAnswer: -11*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-7*l - 46 + 46)*(1 + 0 + 2) + 3*l + l - 2*l + l - 2*l + 0*l)*(-1 + 0 - 2).\nAnswer: 60*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 - (1 - (-3 - 0) - (4445 + -4451)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3300 and 2541000.\nAnswer: 2541000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 539631?\nAnswer: 3, 17, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -11*y**2 + 207*y - 335. What is r(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 3304901.8 to the nearest one thousand.\nAnswer: 3305000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*n - 2*k = 43*n - 2, n + k = 6. Put 5, -17, n in ascending order.\nAnswer: -17, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5.069 + -5.749. Which is the nearest to h?  (a) -5  (b) -0.5  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (44 - 1) + (0 - -4) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1063879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27369 - -138740791.\nAnswer: 138713422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 54, 235, 544, 981, 1546, 2239?\n\"Answer: 64*x**2 - 11*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1 + sqrt(1300) + sqrt(13)).\nAnswer: -22*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1827062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/15095 and 53\/7.\nAnswer: 105665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-2))\/((3\/6)\/(((-370)\/(-5))\/5032))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37705 divided by 5.\nAnswer: 7541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0739 and 0.469?\nAnswer: -0.0346591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*a*c**2*d**2 - 2*a*c**2*d*z - 2*a*c**2 + c**2*d**2*z - 5*c**2 - 4*c*d**2*z + 3*c*z wrt d?\nAnswer: 4*a*c**2 + 2*c**2*z - 8*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence scc when three letters picked without replacement from {s: 2, p: 2, w: 1, q: 1, c: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-201 - -204)*(-8 - 0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s**(-1\/3)\/s))\/s)**(-45)*(s**2)**(9\/5) assuming s is positive.\nAnswer: s**(-282\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 847 and 363?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3958773 greater than 3958772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 4*b - 16, -b - 2*z + 5 = -6. Let u = 5529 + -5528.4. What is the nearest to u in -4, b, -2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, q: 1, w: 14}. What is prob of sequence qw?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 - 2\/(4\/(-18)). Let m(u) = -u**3 + z*u**2 + 0 - u**2 + 36*u**3 - 2*u - 1. Is m(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = 4*z + 5*n - 2, -3*n = -2*z + 5. Solve 5*d - z = 5*c + 8, -3*c - 5 = -2*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 150779457 and 989?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 103a (base 14) to base 3.\nAnswer: 10211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 13*u - 9. Let i(n) = 3*n - 2. Let l(b) = -2*a(b) + 9*i(b). Let y(w) = 4 - 14 + 10 - 2*w. What is 5*l(f) + 2*y(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 152, -5, -3, 2\/21, -0.1 in decreasing order.\nAnswer: 152, 2\/21, -0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 27774.81l in millilitres?\nAnswer: 27774810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -3*a**2 - 18*a - 2. Let v(q) = -q**2 - 6*q - 1. Let l(c) = -2*j(c) + 7*v(c). Let y be l(-5). Solve -y = 4*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -94400 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 1045*b**2. Let j(l) = -2*l. Calculate f(j(h)).\nAnswer: 4180*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36 - 33. Suppose 0 = -5*z - 20, 24 + 26 = u*n - 5*z. Suppose -14*r + 88 = -n*r. Calculate the highest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*g**3 - 28*g**4 + 1 + 0*g**2 + 19*g**4 + g**2 + (0*g**4 - g**4 + 3*g**4)*(-1 + 0 + 3) - 2*g**4 + 2*g**4 + g**4.\nAnswer: -4*g**4 + 4*g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that v**2\/2 + 43951*v\/2 - 43953 = 0.\nAnswer: -43953, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/(sqrt(12)\/sqrt(4)) - sqrt(20)\/sqrt(4)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - -31) + -12 + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a millennium in decades?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 297552 is divided by 297544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-10))\/((-27)\/450*5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-38)\/6 + 7 + (-23)\/3. Suppose -q + 28 = 4*b + 4*q, -2*b + 20 = 4*q. Let h be (w + 8)*0\/b. Solve 10 = -5*y - h*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2221010 + -101?\nAnswer: -2221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 + 26*f**2 + 87*f + 30. Suppose 3*k = -3*y + 78, 9*k - 4*y - 157 = 4*k. What is the remainder when a(k) is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2*c - 17. Let z(y) = -y**2 + 6*y - 14. Let u be z(6). Let d be a(u). Solve 2*q - 5*k = d, -q - 5 = -5*k - 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k = 9*k - 9. Let b = 2907 - 2901. Sort 9, -3, k, b in increasing order.\nAnswer: -3, k, b, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*p**4 - 2*p**2 + 158 wrt p.\nAnswer: 16*p**3 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-1\/7)\/(n**(-12)\/n*n*n) assuming n is positive.\nAnswer: n**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - v + 16. Solve -4*h = -5*c - 23, 3*h + v*c + c = -9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87 = -5*q + 33. Let u = -59 + 80. Suppose u + 23 = k. Calculate the least common multiple of k and q.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 213 = 67. Let y = 18 - 12. Let v be 14\/(-42) - (-50)\/y. Calculate the highest common factor of v and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6782*a - 1420*a - 11245*a = 1186267 for a.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + -203?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the second derivative of v**4\/4 - v**3\/2 + v**2 + 2*v. Let c = -11 - -13. Determine m(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 816855 and 767?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 920 and 281888?\nAnswer: 1409440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 3.984, -4, 1, 509, 1\/4 in ascending order.\nAnswer: -4, 0.1, 1\/4, 1, 3.984, 509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 0*o - o - 3 + 7*o + o - o + (1 - 1 - 8*o)*(1 + 2 - 1) as b + t*o and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 23971 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -55406184*i**2*p**3 + 2*i**2*p - 2*i**2 - 5*i*p - 3913*i + 2*p**4 + 2*p + 20 wrt p.\nAnswer: -332437104*i**2*p + 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.12, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - -1 - 0 - (-5 + -52 + 54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6\/13 - 17\/65. Sort 1, q, 3 in decreasing order.\nAnswer: 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h and 1 a when four letters picked without replacement from ahdsgdo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 83459 - 2?\nAnswer: 83457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 3*v + 10. Let l be n(-7). Let z = 3 - l. Suppose 3*m - 34 = -5*g, m - z = -5*g + 2*g. Calculate the least common multiple of m and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*h**2 + 6644*h**3 + h - 11*h**2 + 22*h**2 + 1875*h**3.\nAnswer: 8519*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of 77 - 50*t + 0*t**2 - 2\/3*t**3 - 7\/2*t**4. What is the derivative of b(q) wrt q?\nAnswer: -42*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a + 6 + 8 - 15. Suppose 4*d - 13 = 5*m - 4*m, 3*d - 2*m - 6 = 0. Is 2 a factor of x(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18 and 4986?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4204 + 4199. Which is the second smallest value?  (a) 2  (b) p  (c) -3\/2  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1111100000100 (base 2) to base 13.\nAnswer: -37ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 64347.5 - -331.804\nAnswer: 64679.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 75.8 + -76. What is the nearest to -1 in 2\/3, -0.06, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2022 + -3?\nAnswer: -2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12790.6 decades to centuries.\nAnswer: 1279.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 1 = -2. Differentiate s*h**3 + 3 - 3*h**3 - 4*h**3 wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/2 of a kilogram in grams?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 11*d + 3. Let n(a) = 21*a + 11. Calculate 7*j(s) - 3*n(s).\nAnswer: 14*s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 AM and 11:07 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-7)\/(-14))\/(1\/2). Let k be (6\/12)\/(g\/(-2)). What is the second biggest value in k, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88671374633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kouomule. Give prob of picking 1 m, 1 u, and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1, 9, 1\/5, -2, 136?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 + -8. Let m = z + 0. Let y(g) = g**3 - 4*g**2 - 3*g - 6. Let l be y(m). What is the greatest common divisor of 36 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 49?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i - 2 + 18. Solve 3*u - i*o = -2*o - 15, 2*u + 3 = -o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23, -49, -123, -269, -511, -873, -1379, -2053?\nAnswer: -2919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 + (-4 - 0\/(-5)). Suppose 8 = 3*s + s. Sort s, 4, z.\nAnswer: z, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-31 - -25)\/(3\/(-2)). Let n be (24\/36)\/(t\/264). Which is smaller: n or 48?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*v - 110 - 322. Solve v*y - 24*y + 40 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.6237203233 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -10543987*w**2 + 145292754 wrt w.\nAnswer: -21087974*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 19526 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/3)\/q)\/(q*(q*q**(-17))\/q*q)*q**(-20)\/(q*(q\/(q**(4\/5)\/q))\/q) assuming q is positive.\nAnswer: q**(-98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13?  (a) 14  (b) -0.051  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 359231489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*v**4 + 498805*v**3 + 4146690665*v**2 - 1382285645*v.\nAnswer: 5*v*(v + 16627)**2*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 5*p - 96. Let c = 1874 - 1863. Let a(o) = -o + 19. What is c*a(u) + 2*s(u)?\nAnswer: -u + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -11  (b) 1\/23  (c) 9  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 3*n - 391. Suppose n = 3*j + 46. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18*((-9)\/((-1125)\/(-50)))\/(4\/20)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -410\/4303 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o**5\/3 + 196*o**4\/3 + 20476*o**3\/3 - 57728*o**2 + 94722*o - 43884 = 0 for o.\nAnswer: -69, 1, 6, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-37260)\/(-4320)*96\/(-18).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13164?\nAnswer: 2, 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 + 3*f + 7. Let d be h(5). Is 15 a factor of d\/((-2)\/150*3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-3)*q)\/(q*(q**3*q)\/q*q))\/(((q\/(q**(1\/3)*q))\/q*q)\/(q\/(((q\/q**7*q)\/q)\/q))) assuming q is positive.\nAnswer: q**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 13650.7459 rounded to the nearest integer?\nAnswer: 13651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 - -6 - 7)\/(-1*1). Suppose s = 8*t - 32 - 48. Suppose -15 = 3*x, -x = -4*z + t + 15. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4 + 1\/4)*4. Is (-2)\/6 - 4550\/o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -4344*m**2 - 724*m - 724. Let b(f) = 5*f**2 + f + 1. Let w(i) = 724*b(i) + u(i). Let d(h) = -2*h. Determine w(d(c)).\nAnswer: -2896*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-26)\/(-5))\/(19\/190). Let m be -195*(-3 + n\/20). Suppose -2*j = j + 3*k - 78, -k - m = -3*j. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/17, -6, 2\/13, -4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 20 = -b. Suppose 2*m - 3*s = 295, 2*m - 300 = -0*s + 2*s. Suppose 4*n = 13 - b, 0 = 3*f + 4*n - m. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(3) + 1 + sqrt(12)\/sqrt(4)*-2.\nAnswer: -4 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18922314, -4, -0.5 in ascending order.\nAnswer: -4, -0.5, 18922314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 5:08 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100010001 - -101010111001?\nAnswer: 100110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -65.2 minus 33392389.4294?\nAnswer: -33392454.6294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -92*a**3 - 876*a**3 - 3953*a + 1 + 1896*a + 0 - 2 + 2*a**2 wrt a?\nAnswer: -5808*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, v: 3, i: 5}. What is prob of sequence iiv?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -113*l - 672. Let n be z(-6). Let h(o) = -o**2 + 5*o + 7. Give h(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 PM and 12:45 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 2*d - 8 = 0. Suppose 3*x = -5*j - 2, -2*j - x + 24 = -6*x. Let g = j - d. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + ((-697)\/(-221) - 2\/13). Let t = 114 + -112. Solve -8 = t*f - k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4016220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.0283474  (b) 669  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*h**2 + 245*h - 50.\nAnswer: 5*(h + 10)*(5*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111020120112 (base 3) to base 6.\nAnswer: -5330452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + 0*l + 4*l)*(4*l**2 - l**2 - 16*l**2) - 32*l**3 + 25*l**3 - 66*l**3.\nAnswer: -99*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13228*p**5*r**2 + 110*p + r**2 - 2*r wrt p?\nAnswer: 264560*p**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffqfqvzizzf. Give prob of picking 1 i, 1 z, and 1 f.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2780102.017 and 8790.\nAnswer: -2771312.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 984 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 156*d - 996*d**2 - 18 + 156*d - 316*d.\nAnswer: -996*d**2 - 4*d - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -41963  (b) 3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 47754 = 3*c, -24061 = 3*t - 2*c + 23698. Round t to the nearest 100.\nAnswer: -15900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 173\/9 + -19. What is the second smallest value in -4, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3664 + -893. Is k a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**2 + 8*o - 5. Let i be x(5). Suppose 0 = 2*q + 3 + 5. Let t(n) = n**2 + 6*n + 12. Let u be t(q). Solve -i = -u*f + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.8433 - -0.1567. Let z = 2 + -6.6. Let g = z + -0.4. Put g, -2, 2\/11, l in increasing order.\nAnswer: g, -2, 2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -5*w**2 - 12. Let o(h) = -32 + 71 + 6*h - 32 - 7. Calculate g(o(q)).\nAnswer: -180*q**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*q + 0*q + 2*q + 2*q + q - 1 - 1 + (-8*q - 58*q + 38*q)*(-1 - 1 + 4) + (-2 + 2 - 2)*(-22*q - 25*q - 36*q).\nAnswer: 112*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*i**2 + 11*i + 4*i**2 + i**2 - 11*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28*g + 20*g + 8*g + 4793 + 2375 for g.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + 1 - (1 + -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 145\/987 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -24\/1441 and -3\/13.\nAnswer: 18733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 38 - 268\/7. Let p = 6094.5 + -6094. What is the second smallest value in b, -4, 3\/5, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -52*o**2 - 3*o - 1. Let u be x(-3). Let z = u - -7822\/17. Put 2\/9, 2\/3, z in decreasing order.\nAnswer: 2\/3, 2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * 180.51.\nAnswer: -361.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**10*t)**(-32\/3)\/(t**23*t)**0)**(-25) assuming t is positive.\nAnswer: t**3200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*-1*sqrt(19) + -3.\nAnswer: -3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18371 is divided by 9139?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-8)\/12)\/2 + (-101)\/3. Put -2, m, -1 in ascending order.\nAnswer: m, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pynywnnnwwyypyw. Give prob of picking 1 p and 1 w.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = a + 36, -5*a = 5*g - 0*g - 220. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -60 + 63. Let n = 1.6 + -2. Which is the second biggest value?  (a) z  (b) 7  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h - 5*h. Suppose h = 3*b - 6. Let c(a) = 44*a - 5. Is c(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18149701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59186.\nAnswer: 2, 101, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -4*n**3 + n**2 + 2*n + 1. Suppose -5*z = -3*a - 25, -4*a + 6*a = -5*z. Let k(c) = c**2 + 5*c - 2. Let d be k(a). List the prime factors of y(d).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*f = 16*f - 2. Which is bigger: 2\/159 or f?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + (-1 + -1 - -8). Suppose 0 = 5*v - 7 - z. Solve 3 = -v*j - 3*q, 3*j + 2*j - q = -11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/(-231) - (-2795)\/(-22704) - 26\/(-32).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of -7*s**4\/4 + 5*s**3\/3 + 3*s**2 + 5*s - 6. Is h(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1\/16166?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2 - 1. Let m be h(2). Suppose -b - 22 = -m*b. Let f = b + 9. Solve -f = -5*i - 3*k, 0 = -2*i - 0*k + 3*k - 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10904 or 10917?\nAnswer: 10904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 26*t**2 - 379*t - 2.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 divided by 717953?\nAnswer: -27\/717953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*n - 57*n**2 + 69*n**3 - n - 352*n**2.\nAnswer: 69*n**3 - 409*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37 + 44*r + 69*r - 35 - 2.\nAnswer: 113*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -145 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1348*r**2 + 22*r + 487028 wrt r.\nAnswer: 2696*r + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6578691 micrograms in milligrams?\nAnswer: 0.0006578691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/8, 95904, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -348 - -590.5. What is x rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2539*m**3*v**2 - m**3*v - 11*m**2*v**2 - m*v - 4*m - 3*v**2 + 4*v + 20 wrt v.\nAnswer: -5078*m**3 - 22*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 - 7*j + 10. Let p be t(7). Calculate the remainder when p\/25 - (-576)\/10 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 1080*d**2 + 12*d + 8. List the prime factors of g(-1).\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11626669?\nAnswer: 1303, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7637190?\nAnswer: 2, 3, 5, 11, 23143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-90)\/(-24))\/(505\/3232)*-1*1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 20 = 4*x, g + 2*x - 3 = 3*x. Solve 18 = -4*f - 2*m + 2, -g*f + 2*m = 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, 5, -3740 in descending order.\nAnswer: 5, -27, -3740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f. Calculate n(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*g**3 - 54*g**3 + 24*g**3 + 85*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 49127606267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5322 a factor of 168451944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3914400?\nAnswer: 2, 3, 5, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -969 + 1528. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2185, 3928, 5681, 7450, 9241?\n\"Answer: g**3 - g**2 + 1739*g + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28 - 14. Let p = k - 16. Let y = 7 + -3. Is p <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 7:20 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*b**5 + 1172*b**4\/3 + 33008*b**3\/3 + 98720*b**2\/3 + 11936*b - 25920 = 0. Calculate b.\nAnswer: -162, -30, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 16) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20464, 3, 2.3 in ascending order.\nAnswer: -20464, 2.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5670*l - 528 = 5659*l. What is the greatest common divisor of l and 1544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 13602963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1.180243 and -23086?\nAnswer: 23084.819757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3248\/(-224)*(-4)\/29. Suppose -4*h + 3*c - 445 = h, 2*h + c + 167 = 0. Sort 5, n, h in descending order.\nAnswer: 5, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 2*k = -18. Let d be k\/(-6) + (-6)\/4. Which is the closest to 0?  (a) -0.1  (b) -2\/9  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 182 - -7589. Differentiate -g**3 - 7771*g - 20*g**2 - 7 + j*g with respect to g.\nAnswer: -3*g**2 - 40*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -47*r + 5. Let t(p) = 236*p - 26. Let o(y) = 11*j(y) + 2*t(y). Let k be o(-3). Let m = 5 + k. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 256*v - 263*v. Solve 0 = 2*y + b + 5, 0 = v*y - b + 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 49*q + 54. Calculate z(2).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -4*n**2 + 2910404*n - 110589576 = 0.\nAnswer: 38, 727563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*r - 2*r - 217 - 246 = 2*j - 386, 3*j = -r - 14 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 20069*d**2 - 12*d - 27. Is m(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2835 + 20?\nAnswer: -2815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -536 + 1502. Suppose l = 4*q + 2*x, -q - 3*x + 61 = -183. List the prime factors of q.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2880)*-1)\/(2*sqrt(64)))**2 - (sqrt(5) + -3*(sqrt(320))**2 + ((sqrt(405))**2 - sqrt(45) - sqrt(45))).\nAnswer: 5*sqrt(5) + 2265\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s + 1. Let k(w) = 135*w - 120. Let q(j) = 360*c(j) + 3*k(j). Let m(h) = h. What is q(m(f))?\nAnswer: 45*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 16*i**2 - 13*i + 62. What is the remainder when u(-3) is divided by 133?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 2*p**2 + 4*p + 2. Suppose -g + 3 = -2*g. Let y(q) = -q**2 - 2*q - 1. Let l(h) = g*k(h) - 5*y(h). Factor l(d).\nAnswer: -(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, t: 3, n: 8, o: 4}. Give prob of sequence nt.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of 37*s**3\/3 - s - 4. Let f be z(-1). Find the third derivative of -6*t**5 - f*t**3 - 3*t**2 + 36*t**3 wrt t.\nAnswer: -360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 545815 and 4.\nAnswer: 2183260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 58458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5360 - -5125. Which is the fourth smallest value?  (a) n  (b) -2  (c) -0.1  (d) -0.5  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + 2*n + 73, -3*n + 251 - 5 = 3*i. Let c = i - -57. What is the remainder when c is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 105 + 353. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, l: 5}. Give prob of sequence wlwl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -1\/4  (c) -173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of -7*y**2 + 7*y + 35. Find the first derivative of i(j) wrt j.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 28 and 5250.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s**3 - 16362*s**2 - 33488910*s - 100319526 = 0.\nAnswer: -4089, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -5*v - 8. Let g(i) = i**2 - i + 4. Determine g(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60492220 to the power of 1\/3, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -9*m + 11. Let j = -44 - -47. Let n(l) = 0 - 4*l + 1 + 1 + j. Determine -6*h(g) + 13*n(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m\/((m*m**(1\/20)\/m)\/m)*m**(-11)\/m*(m**(2\/21)\/m)**23 assuming m is positive.\nAnswer: m**(-12541\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 43*b**4 + 9*b**3 - 9*b**2 + 15. Let g(p) = 21*p**4 + 4*p**3 - 4*p**2 + 8. Let z(v) = 9*g(v) - 4*h(v). What is the first derivative of z(l) wrt l?\nAnswer: 68*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + -7. Let t be 6\/24 - (-33)\/12 - -3. Suppose 3*w = -3*g + t*g + 24, 3*g = -w - 12. Calculate the remainder when w is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -48458 by -4483.\nAnswer: 48458\/4483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 + 6. Let g = 210 - 209. Sort g, 2\/3, h.\nAnswer: h, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.4 - -0.3. Let r = 5.2 - 1.2. Let y = -2.96 - 0.04. What is the closest to n in r, -1\/3, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2627395 and 2.\nAnswer: -2627393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.25 + 0.11. Is -1\/4 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 + 3*s**2 - 3*s - 7. Let o be t(-3). Factor 1\/2*b**3 + 0*b + 0 - 1\/2*b**5 - 1\/2*b**4 + 1\/2*b**o.\nAnswer: -b**2*(b - 1)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -6*l + 7. Let s(a) = -a**3 + 11*a**2 - 13*a - 6. Suppose -6*t + 36 + 6 = 0. What is the remainder when s(t) is divided by m(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/6354 and -91\/2118.\nAnswer: 6354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, -1265, 12, 186, 4 in decreasing order.\nAnswer: 186, 12, 4, -3, -4, -1265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 4  (b) -2\/9  (c) 5\/3  (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b6 + -813?\nAnswer: -73b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g**2 - 6*g + 6*g)*(3 + 0 + 0)*(5 - 3 - 1).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7735043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 404927?\nAnswer: 29, 13963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 1\/1893?\nAnswer: 1\/1893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - q = -4*q, 0 = 4*m - q + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 29 = -3*x - 11, -2*x = -7*q - 12. Let k(w) be the first derivative of q*w - 22 - 17\/2*w**2. Let a(o) = o**2. Calculate k(a(b)).\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56725, 113450, 170175, 226900?\nAnswer: 283625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 - 20*i + 27. Let w be u(18). Let d = w + 22. Find the second derivative of 2*o + d*o**3 - 19*o**3 - o + 5*o**3 wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 11 = -2*n - 39, -5*d + 65 = -2*n. Let l(x) = -x**2 + 14*x + 20. Let a be l(15). Solve k = a*q + d, -q + 3 = -2*k + 3*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 - 2*h + 6 + 10 + 2*h**3 + h. Let t be d(0). Solve -2*f - 8 = -2*r, 5*f - 2*r + t = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 AM and 9:46 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z**2 - 4378*z**3 + z + 3*z**2 + 0*z**2 - 142 + 4377*z**3 - 3*z**2 to the form c*z**3 + u*z**2 + r*z + q and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-1*sqrt(13) + (sqrt(637) + (sqrt(637) + 1 - sqrt(637)) - sqrt(637) - sqrt(13)))**2 + -1*(-2 + sqrt(13))*-1.\nAnswer: -3*sqrt(13) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 51 + -46. Put -3, 4, v in ascending order.\nAnswer: -3, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 3*o + 44 = t, -5*t + 3*o = -155. Calculate the remainder when 663 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*z = 10*z + 1257. Suppose -12*y = -265 - z. Let p = -58 + y. Is p at least as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -17  (b) 0.1  (c) 1\/3  (d) 12  (e) -5  (f) 167.9  (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32066625687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*i = 19*i - 2*b, -b = 2*i - 8. Let r(o) = o + 5. Let h be r(i). Solve -2*t - l = 0, -t + 22 = 2*l - h*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, 5, -5, -1 in decreasing order.\nAnswer: 5, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5536 + 1549. Is 11 a factor of o\/(-33) - (-16)\/88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 + 2*l**2 - 157*l - 77. Determine z(12).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 6:12 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 2*l = 0, -5*u = 2*l - 6 - 3. Let b be 69 - ((-1)\/u - -5). Suppose 3*n - 3*q - b = -2*n, -q = n - 13. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 248 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 4  (c) 5  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 less than 5709.84821?\nAnswer: 5735.84821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/29, -3, 0.3, 110, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from 15.72.\nAnswer: 20.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 150920?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14732, 14734, 14736?\nAnswer: 14738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of i**4\/30 + 2*i**3\/15 - 224*i**2\/5 - i + 949. Factor v(u).\nAnswer: 2*(u - 14)*(u + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 140\/13 or 12?\nAnswer: 140\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 PM and 12:32 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 306 is divided by 236?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -8*v. Let l(t) = -2*t**2 + 888*t + 5. Determine l(f(g)).\nAnswer: -128*g**2 - 7104*g + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n**3 - 3*n**2 - 9*n + 3. What is the units digit of r(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 176 and 44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/f**(2\/29)*f*f*f*f*f**(2\/19)*(f**(-3))**(-14) assuming f is positive.\nAnswer: f**(25917\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 AM and 9:02 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*j + 52*j + 5*z = 8, -4*z - 32 = 0. What is the highest common factor of j and 936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 AM and 4:24 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -3\/4*n**3 - 9 + 1\/4*n**4 - 77\/4*n - 45\/4*n**2 = 0.\nAnswer: -4, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, -14, -42, -78, -122, -174?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*g + 7 + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2919\/(-28) + 3 + 22\/(-8). Let r = s - -108. Solve r*u - 4*t = 16, -4*u - t + 3*t + 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 - 9*b**2 - 12*b + 24. Let p be i(10). Solve 2*z - 2*u = -5 + 1, -p*u + 10 = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 + c**2)*(3183 - 1595 - 1590 + 529*c) as g*c**2 + k*c + q*c**3 + n and give q.\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9.99 - -2.99. Which is the third biggest value?  (a) 0.1  (b) o  (c) -2  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10861, 22492, 34123, 45754, 57385?\nAnswer: 69016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 632 divide 278173314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by 27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -58*v**2 - 2089*v**4 + 2090*v**4 - 36 - 4*v + 35 to s*v**3 + n + o*v**4 + y*v + q*v**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 - 2*t + 1. Let h be (-9)\/6 - 45\/10. What are the prime factors of l(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12*n - 17*n**5 - 4*n**2 + 2 + 2*n - 2 wrt n?\nAnswer: -1020*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4270 + 1541. Let j = 63865\/11 - q. Calculate the common denominator of -11\/2 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2514531 (base 6) in base 16?\nAnswer: -20d97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/4  (b) -2\/3  (c) 1.027  (d) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 80 + 19. Let h = 21 - k. Suppose 10 - h = -a. What is the remainder when a is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -4*s**2 + 56*s - 212. Give h(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o + 5. Let l be n(-6). Let d be 14 + -17 + 2 + l. Is (d\/(-4))\/((-4)\/(-2344)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 30\/(-4)*36\/(-45). Suppose z - 19 = -4*g, 2*z = -2*g + m*z - 4. Let -6\/7*y**g - 2\/7*y**5 + 2\/7 - 4\/7*y**3 + 4\/7*y**2 + 6\/7*y = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/3240 and -163\/9360.\nAnswer: 84240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -14714 and -12.\nAnswer: 176568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -348130 (base 10) in base 4?\nAnswer: -1110333202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -20 + 57\/4 + 3971\/1444. Let o = 3.5 - 0.5. Let i be (2 - 1) + 1 + 0. What is the biggest value in o, k, i, 3\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24885512191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 285704 and 135810.\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of s**5\/20 - 7*s**4\/12 - 4*s**3\/3 + 3*s**2 - 90*s - 116. Let f(w) be the first derivative of h(w). Give f(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q**3 + 10*q**2 + 11*q - 100. What is the tens digit of z(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0010337 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -1\/6  (c) 5\/3  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of -d**5\/30 - d**4\/12 - d**3\/18 + 42. Solve i(s) = 0 for s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 + 20*s + 64. Determine u(-9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3551.6124s to hours.\nAnswer: 0.986559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9574681.\nAnswer: 43, 107, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -653 - -422. Let z = 221 + x. Which is the third smallest value?  (a) -0.5  (b) -1  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 669600 and 4278.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-11)\/(-18) + 1 - 2 and ((-5)\/(-90))\/(699\/(-693) - -1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**5 - 2*v**5 + 4*v**5)*(-3 - 25 - 14) - v**4 + v**3 + v**5 + 2*v**3 - 12*v**3.\nAnswer: 43*v**5 - v**4 - 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -35 + 74. Suppose c - r = -2*c. Calculate the greatest common factor of 39 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6809883259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15, -18, -99, -252, -501, -870, -1383, -2064?\nAnswer: -2937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -177 by -1.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -672*j + 9047. Calculate s(12).\nAnswer: 983","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 91 and 447473?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 5.202166 millennia?\nAnswer: 52.02166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(2\/19)\/m*m\/m**(-4\/9)*m**(2\/15)\/m**5 assuming m is positive.\nAnswer: m**(-3691\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2500412, 5000809, 7501208, 10001609?\nAnswer: 12502012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:51 AM and 9:54 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (1 - ((1 - -1) + -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 110 + -106. Suppose 4*j - 370 = -2*v, -q*v + 752 = 8*j - 3*j. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 100303, 200614, 300931, 401254, 501583, 601918, 702259?\nAnswer: 802606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 PM and 1:36 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -324 - -344. Let m(l) = 8*l**3 + 4*l**2 - 4*l + 3. Calculate the remainder when m(2) is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes after 9:48 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 - 13*x + 113. Determine v(17).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:05 AM and 2:42 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 278192 and 5?\nAnswer: 1390960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28071124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 37 = -9. Is -28 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -168986 + 9964?\nAnswer: -159022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - -2)*(-1)\/(-3). Let z be (-18)\/3 + 0 + x. Is -4 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31955 less than 31955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -311, -278, -235, -182, -119?\n\"Answer: 5*x**2 + 18*x - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.013 - -0.077. Let d = b - -0.41. What is the nearest to 0 in 1\/3, -2\/5, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2*k**3 - 2*k**2 - 2*k - 1. Let t(g) = 23*g**3 - 48*g**2 - 21*g - 11. Give 22*b(f) - 2*t(f).\nAnswer: -2*f**3 + 52*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 - 269*j**2 + 1295*j + 6654. What is w(264)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1042 - 2433?\nAnswer: -4030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s. Let i be l(2). Suppose -i*m + 15 = 2*u - 3*m, 0 = -5*u + 3*m + 38. Calculate the least common multiple of u and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 293195 and 2796.\nAnswer: 295991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.5  (b) 0.4  (c) -1\/5  (d) 9  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 + 19*x**2 + 17*x - 8. Let j be o(-18). Calculate the highest common factor of j and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.169928 grams in tonnes?\nAnswer: 0.000009169928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 41 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4  (b) 0  (c) 11  (d) 21  (e) 5  (f) 12.8  (g) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 64\/187051 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 256*p + 16335. Determine y(-64).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 459 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -62*p**3 - 18*p**2 + 4*p + 18. Let g(z) = -21*z**3 - 6*z**2 + z + 6. Let i(j) = 11*g(j) - 4*m(j). List the prime factors of i(3).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 20*f**3 + 1297*f**2 - 190*f + 316. Determine q(-65).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o + 0*o - 4*o)*(285 + 4*o - 3*o - 3*o).\nAnswer: 4*o**2 - 570*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 642*h - 726. List the prime factors of o(33).\nAnswer: 2, 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 9) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/3 in -18, -3\/2, -0.5, -14, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -84*w - 88*w + 32*w.\nAnswer: -140*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29064 is divided by 323.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-48)\/56)\/(((-72)\/(-64) - 1)\/(70\/(-24))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x + 12. Let h be v(6). Let k(a) = 2 - h + 3 + a. Let z be k(3). Sort 4, -2, z in ascending order.\nAnswer: -2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d + 2. Let v be s(3). Suppose 800*o = 787*o - 117. Sort v, 4, o in ascending order.\nAnswer: o, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -6014, -12184, -18354, -24524, -30694?\n\"Answer: -6170*t + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 54 + -526706?\nAnswer: -526632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the second derivative of -10*p**3\/3 + 377*p. Let j(n) = -41*n**2. What is a(j(x))?\nAnswer: 820*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(-810)*((-87474)\/(-488))\/(-239)?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1070 - (6 + (-112)\/21)*-3. Calculate the highest common factor of s and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of -1\/48*f**8 - 7\/24*f**4 + 1\/105*f**7 + 0*f + 1\/3*f**3 - 1\/15*f**5 + 7\/60*f**6 + 0 - f**2. Solve o(i) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 6*v**2 + 10*v**2 - 6 - v - 3*v**3 + 4*v**3 - 10*v**2. Let u be x(-6). Suppose u = -3*b + 9 + 3. Solve -j - j + 14 = -4*i, 2*j = 2*i + b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28373.\nAnswer: 17, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4 + (-4 - -1))*24. Let y be (-1 + -3)*(-12)\/a. Suppose 0 = -3*m + 5*s + 280, 5*m - 472 = s + y*s. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 PM and 8:39 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -82+-7922595891\nAnswer: -7922595973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7325\/17 + 431. Let s = 0.176 - 0.576. Put s, -5, 0.2, v in descending order.\nAnswer: 0.2, v, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 + y**2. Let m be c(-1). Suppose p - 5 = 0, -3*n - m*p + 14 = -62. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 30*p**2 - 12*p**2 + 25 + 56*p**2 + 50*p**2 to the form u + t*p**2 + z*p and give t.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 + ((-1)\/(-1) - (21 - 24)). What is the nearest to z in -1\/5, -0.9, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -15*((-22)\/3)\/1. Let t = 374 + -312. Suppose -4*s = -p + m, p - s - t = 36. Is p a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.0326, 4\/11, -0.21, 5, 1, -3.\nAnswer: -3, -0.21, 0.0326, 4\/11, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 3*o = j - 7, -3*j = -o - 31. Suppose -f - 18 = -5*i, 4*f - 17 = -4*i + 7. Let c be 2\/4*f + 1. Solve 2*u = -3*x + c, 2*x + j = -x + u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:47 PM and 7:49 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12112 (base 3) to base 7.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 3) + -3 + 0 + 0 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14279 greater than or equal to 14285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b**4 - 2*b**4 + b**4 + (b**3 - 5*b + 5*b)*(4 - 4 + 2*b) + 3 - 15*b**4 - 3 to the form g + i*b**2 + y*b**4 + n*b + h*b**3 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from tttjtttykwtycktkttt.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 9 - ((33 - 17) + -16 + (9 - 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 64 - 64. Suppose 2*i - 71 + 1 = d. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 272*b - 219040 = -249232 for b.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**4\/3 - 553*k**3\/3 - 69071*k**2\/3 + 2088025*k\/3.\nAnswer: -k*(k - 25)*(k + 289)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30 + (77 - 132) - (-28 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -26284 at most as big as 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2600333, 10401355, 23403063, 41605457, 65008537, 93612303, 127416755?\nAnswer: 166421893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4925 + 7747. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 296 = -282 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + sqrt(76)*-2)*-5)\/(sqrt(576)*2) - ((1 + sqrt(931) - (-5 + sqrt(38)\/sqrt(2))) + -1).\nAnswer: -139*sqrt(19)\/24 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -99786, -98808, -97828, -96846?\nAnswer: -95862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -905911, -1811881, -2717851?\n\"Answer: -905970*t + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -8  (b) -2  (c) -118  (d) -6  (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5\/24 - -11\/168. What is the closest to 0 in a, 5, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * -283.\nAnswer: 141.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -325?  (a) -4  (b) 0  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-4)\/10)\/((-7)\/35). Let q(f) = 10*f + 13. Let o be q(d). Solve m + 5*r = -13, 12 = 5*m + 3*r + o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*q**2 + 18*q**2 - 6*q - 2 + 5*q.\nAnswer: 66*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o\/(o*o**(-5))))\/(o\/o**(-1\/10)))\/(o**(-1\/4))**(2\/33))**(-5) assuming o is positive.\nAnswer: o**(839\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**4\/5 + 7496*b**3 - 175631276*b**2\/5 + 70230024*b - 175556322\/5.\nAnswer: -2*(b - 9369)**2*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32412 and 5127228?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 570221657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34398 = 5*g - i, -4*g - i + 23022 = -4491. Does 195 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 932 + 1167. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = b, 0*b - 26 = -r - 3*b. Let y = 21 - r. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -113, -226, -337, -446?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -271\/1341 - 3\/149. Let a be 132\/351 + (-2)\/9. Let t = 1.3 - 1.8. Sort a, z, t in decreasing order.\nAnswer: a, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-258)\/172)\/(5\/(-630)). Solve 72 = 29*h - a for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -2*y**2 + 4*y - 3. Let g(t) = -3*t**2 + 8*t - 5. Suppose -8*l = -12*l + 20. Let h(p) = l*w(p) - 3*g(p). Find the second derivative of h(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 104 = 8*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16717*p + 1 - 2*p**3 + 16717*p - 109*p**2 + 0 to t*p**3 + i + y*p**2 + k*p and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 1 = 2*a. Solve 2*t - a = n, n - 4 = -2*t - n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 69*m = -64*m - 15, 3*m = -4*j + 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 765201993.\nAnswer: 3, 13997, 18223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q = l + q - 70, 4*l = -4*q + 252. Suppose 0*z + 3*z - 51 = 3*w, -4*w + 58 = 2*z. What is the remainder when l is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69*u - 25*u - 24*u - 19*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13244\/17556)\/(-43)*(3\/2)\/((-1)\/10).\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/5)\/(2\/(-20)). Suppose i - 20 = -2*d. Let x be d\/(-4)*18\/(-4). Solve v - 4*v = -x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {h: 3, x: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -1884.3 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66)\/sqrt(2))\/sqrt(11) - (sqrt(27) - sqrt(3))*-4.\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-13)*r**(2\/67)*r**21*r*r**(3\/8) assuming r is positive.\nAnswer: r**(5041\/536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m. Let h(y) = -7444*y**2. What is h(x(a))?\nAnswer: -29776*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 - 27\/(-21)) + 4\/(-14). Suppose k = -j - 0*q + 5*q + 22, 0 = j + 2*q - 1. Calculate the highest common divisor of j and 679.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of 3*d**4\/4 + 2*d**3\/3 - d**2\/2 + 7. What is y(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.47899975 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 36107513581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 482 and 618228383?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -557*f - 3517 = -17783 - 773 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b**2 + 31*b - 111. Let m be z(8). Let g(p) = 25*p - 58*p + 23*p + m*p. Let x(y) = 3*y + 3*y + 3*y. What is g(x(q))?\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.26 + -0.04. Let a = k - -1.2. Let d = a + -1. Sort 3, 5, d in descending order.\nAnswer: 5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l - l**2 + 3*l)*(0 + 1 + 4)*(-39 + 11 + 14)*(0*l + 3*l - 2*l) + (-3*l - l + 3*l)*(-3 + 3 - l**2).\nAnswer: 71*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of 2*p**3\/3 + 1552*p + 3424. Let d(v) = 2*v**2. Calculate b(d(l)).\nAnswer: 8*l**4 + 1552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**3\/4 + 123*p**2 + 1449*p\/4.\nAnswer: 3*p*(p + 3)*(p + 161)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8010 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z**5\/2 + 4*z**4 - 9*z**3\/2 - 11*z**2 + 10*z + 12 = 0 for z.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 2555*o - 278512. What is c(109)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the third derivative of 2*q**7\/735 + q**6\/70 - q**5\/105 - q**4\/14 + 32*q**2. Factor g(x).\nAnswer: 4*x*(x - 1)*(x + 1)*(x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 13*o. Let f(t) = 7*t - 191. Let y be f(0). Let g = -109 - y. Let q(b) = 159 - 77 + b - g. Give q(k(d)).\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/29643916 and -77\/6133224.\nAnswer: 177863496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 AM and 4:20 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -l + 76, -a + 3*l + 58 = a. Suppose 3*x + w - 2*w = a, -x = 2*w - 4. Calculate the least common multiple of x and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 - 4 + 14)*(q**3 - 2*q**3 + 2*q**3) + 25*q**3 + 0*q + 3*q - 26*q**3.\nAnswer: q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7.1 or 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1467, 1461, 1453, 1443?\nAnswer: 1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0*(-1 - 9\/(-6)). Let c be (0 - g)\/(6 + -7). Is -5\/17 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*x + 2. Sort 5, x, -5, 2.\nAnswer: -5, x, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 35039*q - 28447*q - 131840 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 146 = -161. Let v(k) = 2*k - 9. Let n be v(i). What is the highest common divisor of n and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - ((-285)\/(-35) + (-2)\/14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1296, -2700, -4324, -6282, -8688?\nAnswer: -11656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*p - 4 = -21*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -96 + 23*b - 20*b + 100. What is r(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265.2 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/4, 5\/2, -12, 0.029?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 15\/4?  (a) -0.2  (b) 2\/13  (c) -102  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 134*r - 4 = 3*x + 139*r - 5 + 11, -220 = -4*x + 40*r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 518 is divided by 169?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 453416 to the power of 1\/2, to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 2*h - 14 = -6, -5*l + 4*h = -16. Suppose -4*g + z + 10 = 0, l*g + 5*g - 8 = -z. What is the remainder when g is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t. Let o(n) = n**3 + 3*n**2 - 2*n - 4. Let b be o(-3). Let g(c) = 0*c**2 - c**b - 3*c**2. Determine h(g(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rdd when three letters picked without replacement from drddddddrdrddd.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -125.204321 and -3.\nAnswer: 375.612963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*j + 3*s + 21 + 2, -2*s - 30 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26 and 23283?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 783 and 17603.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -136 + 138. What is the nearest to q in 4\/5, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13821997.23 rounded to the nearest 10000?\nAnswer: 13820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -5937920270 to the nearest one hundred thousand.\nAnswer: -5937900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -710  (b) 71  (c) -1  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -326*q - 8842 = -26695 - 8227 for q.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4122 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 358008413?\nAnswer: 7, 179, 285721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 8:51 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9118 + 740113. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 6:29 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l + 12. Suppose -6*s + s = 0. Let b be h(s). Let a be b*(8\/6 + -1). Sort 1, -3, a in ascending order.\nAnswer: -3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -5*h. Let r(o) be the first derivative of o**4\/24 + 10*o**2 - 31. Let d(z) be the second derivative of r(z). Give d(m(q)).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.07*352441.\nAnswer: -24670.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 42928525 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3325, -3400, -3525, -3700, -3925, -4200, -4525?\n\"Answer: -25*p**2 - 3300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 22 = 5*r, 2*r - 41 = -5*z - 2*r. Let s = 876 - 827. Solve 5*c = -5*j - z + s, -c = 4*j - 23 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1365821 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -10 + y + y**3 + 3*y**2 + 3*y + 4*y**2 - 6*y. Let n be o(-7). Find the second derivative of -2*x + 4*x - 3*x**2 + n*x**2 wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*d - 19*d + 7 = 0. Solve d*p - 4*p + 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 13 = -3*i, 4*i = -g + i + 7. Suppose 3*h - 8 = g, h = -4*y + 8. Suppose -y - 4 = -t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 189 and 26943.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - 57\/(-21)) + 347798\/84. Let d be 1 + 12*(-687)\/(-2). Let i = g - d. Calculate the common denominator of i and 40\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of -z**4\/4 - 4*z**3\/3 + 7*z**2\/2 + 4*z + 1. Let d be -5 - ((-4)\/(-2) - 2). Determine b(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 387*x + 23228. What is z(-60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1, 4, -225 in ascending order.\nAnswer: -225, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 77271846, 77271844, 77271840, 77271834, 77271826, 77271816, 77271804?\nAnswer: 77271790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 6017 - 5665 = 0. What is the highest common factor of z and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/t**(-23))\/t*t)\/t*t)\/t**(5\/3) assuming t is positive.\nAnswer: t**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9777.\nAnswer: 3, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 330 a factor of 2697090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/13, -1922, -0.036, -8?\nAnswer: -1922","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5807.898 months in years?\nAnswer: 483.9915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = n - 5*f - 26, -91*f + 3 = -2*n - 92*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w - 27770*n = -27764*n + 202, -4*w - 3*n = -146 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 505481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 93*l + 165*l - 400*l + 144*l. Let q(n) be the third derivative of -n**4\/24 - 11*n**3\/3 - n**2. Determine q(u(g)).\nAnswer: -2*g - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -486 (base 10) to base 16\nAnswer: -1e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9 and 444438801?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -106 + 113. Suppose t = -5*q + 131, -3*t - r*q = -2*q - 383. Calculate the greatest common divisor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2060353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 150, 154, 158?\n\"Answer: 4*l + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 52 = -5*b, s + s + b = 52. Suppose 3 = -3*t, s + 55 = i - t. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h**4\/2 - 1465*h**3\/2 + 18707*h**2 = 0.\nAnswer: 0, 26, 1439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from amfrxoofafoxxm. Give prob of picking 1 a, 1 x, and 1 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 6*p. Let n(o) = 4*o. Let x(w) = 2*w. Let u(z) = -n(z) + 4*x(z). Determine u(v(f)).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 282, -935, -5298, -14379, -29750, -52983?\nAnswer: -85650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 183*r + 1693*r = -193228 for r.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 20*q**2 + 972*q + 576. Determine u(-48).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 225251?\nAnswer: 13, 17327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/6*-13 - ((-1)\/(-1) - -6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u - 1. Let k = 13 - 5. Let v be i(k). Suppose 0 = -5*f + 8 + v. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5243*w - 58901 - 35473 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r**5 + 16895*r**4 - 5665795*r**3 - 28700235*r**2 - 17402310*r + 51751440 = 0.\nAnswer: -3686, -3, 1, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-33211)\/924 + (-10)\/(-15) + -1. Let b = i - -703\/22. Let g = b - -32\/7. What is the fourth biggest value in -4, g, -0.2, 4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 2*i = 13 + 32, 5*i - 60 = 5*n. Let h(b) = -b**2 - 5*b + 5. Let r(m) = m**2 + 4*m - 4. What is n*r(q) - 6*h(q)?\nAnswer: -q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(1\/((-1)\/(-10))). Let q be (-7)\/(-15) + (-24)\/(-180). Solve -d**3 + d - k*d**2 + q*d**4 - 2\/5 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 29 = -l, 3*l + 14*g = 10*g + 47. Solve l*k + 90 = -6*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, -24, -50, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2737 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2445 a factor of 812794649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 + 6. Let l be 9\/(2*(-3)\/6). Let t be l\/2*1\/(-3). Sort 5, d, t.\nAnswer: t, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 w when three letters picked without replacement from lbllrzrlwrwalrlr.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 86 = d, 6*g + 5*d - 129 = 3*g. Let z(s) = 18*s**2 - 4*s + 3. Let c be z(2). Let x = c - g. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - -60?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/36 + 542\/12. Let a(l) = -28 + p - 25 - l. Give a(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2262613*j**4 - 122*j**2 - 15772*j - 2?\nAnswer: -54302712*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (54\/(-51))\/((-10)\/(-31)) + (-2)\/17. What is the fourth biggest value in w, 1, -4, -3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 45*y + 1086. Calculate o(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8624)\/(-147)*225\/(-600)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, a: 1, c: 3, r: 1, h: 4}. What is prob of picking 1 c, 2 o, and 1 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 881472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 136171043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -0.5  (b) 0.5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1, 2, 1, -2, -7, -14, -23?\n\"Answer: -w**2 + 4*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.7799018 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - b + 1 = 0, -3*b = -b - 6. Solve -4*m + u*z = 30, 2*z + 0 = 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 + 31*v + 252. What is t(-22)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4469 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -683 divided by 4.\nAnswer: -683\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 19 = 11. Suppose f*d - 38 - 10 = 0. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes before 8:13 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, l: 1, y: 3}. Give prob of sequence ffl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 6 = -4*u, 2*u + 0 + 12 = 3*b. Let i be ((-15)\/(-10))\/(b\/(-12)). Let v be -1 - (-1 + -2) - i. Solve -3*a - 6 = -5*d + 8, d + v = -4*a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5429 and 671.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 56175 divided by 219\nAnswer: 18725\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 + -10.00000115. What is k rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -17*z - 137. Suppose -45*f = -100*f - 117*f - 1204. Determine a(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -6 + -3 + -9 + 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 28*l**2 + 35*l**2 - 8*l**4 - 64*l**2 - 2*l**3 as i + s*l**3 + b*l**4 + g*l + c*l**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r - 3. Let d be k(-9). Let q be 21\/(-9) + d\/(-9). Let i(z) = -z + 1. Is 4 a factor of i(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1212817 - 742418. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 8*z - 228. Let c(q) = -18*q. What is k(c(d))?\nAnswer: -144*d - 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 12 = -3. Suppose -m*r + 340 - 15 = 0. Let k be (-1*3 + 0)*(-156)\/36. Calculate the greatest common factor of k and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15 + 14. Which is the nearest to f?  (a) -2  (b) 2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - 17 + 7. Let s(g) = 5*g**2 + 1. Calculate the remainder when s(m) is divided by (-4)\/(-2) + 6 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -231000 (base 7) in base 6?\nAnswer: -514320","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**2. Suppose 9637*f - 20 = 9627*f. Let m(w) = -w**2 - 9*w - 3. Let u be m(-8). Let c(d) = -7*d**2 - u*d**f - 13*d**2. What is c(s(r))?\nAnswer: -25*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14 and 28569933.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 116*q**2 + 19*q - 65. What is the thousands digit of i(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0149272261 to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 + 9*f. Let n be s(10). Let b = -6 - n. Let h(o) = -1 - 1 - 5*o**2 + 3*o**3 + 5*o - 2*o**3. Calculate h(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4191701 at least 4191701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*m + 836283 = 80*m. List the prime factors of m.\nAnswer: 7, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + 2. Solve 18 = -4*u + j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence poyh when four letters picked without replacement from hpppphaoapyah?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -496, -494, -490, -484, -476?\n\"Answer: q**2 - q - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 612\/5*b + 5496\/5*b**3 + 0 + 734*b**2 - 18\/5*b**4.\nAnswer: -2*b*(b - 306)*(3*b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 8*c = -9*c - 13, 0 = -2*z - 5*c - 5. What is the remainder when (z - 11)*87\/(-6) is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.489344138 to four decimal places.\nAnswer: -0.4893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1095996 and 108?\nAnswer: 9863964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -2147*o**2 - 2725*o**2 + 3 - 3 - 389*o**2 - o**2 - o**2 + 3*o**2 + (4 - 1 - 1)*(-o + o + 2*o**2) as h*o**2 + u*o + d and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 62 and 550272.\nAnswer: 17058432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 195944677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -77 divided by -63.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/18 and 61\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 5*y = 11559, 178 = 4*y + 166. Is -2885 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 327274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-3)*7\/140. Let o(p) be the second derivative of 2*p + 0*p**3 + 1\/2*p**2 - g*p**6 + 0*p**5 + 0*p**4 + 0. Find the first derivative of o(k) wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 k when three letters picked without replacement from {k: 2, j: 3, n: 4, r: 1, q: 2, f: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7622 a factor of 239452752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (32\/(-144))\/((-80)\/4320)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 5 - 0, 2*t = n + 9. Let p = t + -1. Calculate the greatest common divisor of p and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 800110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 20\/9 and -67\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/16*54\/81.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16 + -457. Let g = h + 483. What is the remainder when 177 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 508773 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 22*p - 1. Let k(x) be the third derivative of -x**6\/120 + x**5\/20 - x**4\/24 - x**3\/6 - x**2. Let i be k(2). List the prime factors of z(i).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*x**3 + 7*x**3 - 11*x**3)*(1 - x + 0 + 1) in the form a + b*x**3 + d*x**2 + z*x**4 + q*x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*3)\/((-123)\/(-205)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/42)\/(108\/(-126)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 PM and 1:13 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and 0.0869?\nAnswer: -0.2607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -15625, -62474, -140555, -249868, -390413, -562190?\n\"Answer: -15616*y**2 - y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/26000 and -81\/70.\nAnswer: 182000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f**5 + 508*f**4 - 11874*f**3 + 47532*f**2 - 55360*f + 19200 = 0. What is f?\nAnswer: 2\/3, 1, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + v + v**4)*(-5*v + 3*v + 0*v) + 184*v**5 - 821*v**5 + 153*v**5 + 1413*v**5.\nAnswer: 927*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - 2788487.8?\nAnswer: -2788491.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((8\/5)\/(-4))\/(16\/(-5))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3780)\/297)\/35*-2.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 206302?\nAnswer: 2, 19, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by -7982056.\nAnswer: 5\/3991028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of -d**8\/1344 + d**7\/504 + d**4\/2 + 17*d**2. Let x(t) be the second derivative of y(t). Determine c, given that x(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 6142 and 77.284616394.\nAnswer: 6219.284616394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o**(-4)*o*o)\/o*o*o*o\/o**(-13)*(o\/(o*o\/o**(4\/7)*o))**(-15))**(-35) assuming o is positive.\nAnswer: o**(-1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1*(191 - 2\/(8\/4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*3*-3*((sqrt(2)*-1 + -2)**2 - (sqrt(2) + (sqrt(32))**2*3)).\nAnswer: -135*sqrt(2) + 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -13132 times 0.08?\nAnswer: -1050.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2422?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6471940 is divided by 48298.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2984, -11755, -26382, -46871, -73228?\n\"Answer: -j**3 - 2922*j**2 + 2*j - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.373 - -0.027. What is the nearest to 0 in -5, f, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 42*h + 546. Let u be s(-11). Suppose -4*f + 4*l = -0*l - 44, -15 = 3*l. Let o be (-46 + 4)*(-2)\/f. What is the greatest common divisor of o and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 z when three letters picked without replacement from xzmzdzzxzjzmzzzzzmj?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 208405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7083 - -11763. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-42)\/392)\/(-1)*(2\/14)\/(36\/(-84))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 2*k + 3693 = 3719, 2*j = 2*k - 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5868)\/162 - 4\/(-18). Let d be 20\/50 + i\/(-10). Solve 0 = -2*w - 0*n - d*n + 24, 5*n - 27 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-14)\/(-5) + (-6)\/(-30). Suppose 0*m + 2*m = w*d + 49, -4*d = 2*m - 14. What is the remainder when 82 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 139\/4*10\/5 - ((-19097)\/(-338) + -64)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 + 9*8\/12*1. Suppose 5*q = -5*d + 665, -c*q = 2*d + d - 402. What is the greatest common divisor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/321984 and 161\/4680.\nAnswer: 1609920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/(-5))\/(24\/502910). Suppose 6*w + 40997 + 9181 = 0. Let t = o - w. Calculate the common denominator of -17\/4 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.4 + 1.6. Let h(q) = -q - 15. Let g be h(-15). Let c be (38\/14 - 1) + -2. Sort x, c, g.\nAnswer: c, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -191*p**4 + 623*p**3 + 541*p**2 + 142*p + 13. Let y(w) = -w**4 + w**3 - w**2 - w - 1. Let x(j) = a(j) + y(j). Solve x(b) = 0 for b.\nAnswer: -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + s + 10 = 8*n - 16 - 61, 0 = 4*n - 10*s - 86 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + 6.3. Let y = 7 + -7.3. What is the closest to 0.2 in y, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 450064 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 202, 414, 642, 892, 1170, 1482, 1834, 2232?\nAnswer: 2682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2984\/237228*(-5 - -111).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 876?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -3 + (-1 + sqrt(567) + 1 + 2)*-6)**2 + 5.\nAnswer: 1080*sqrt(7) + 20517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -1231 + 376711\/306. Find the common denominator of c and 91\/198.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 226.67 + -227. Let v = -0.4 + 0.74. Let j = v + z. Which is the smallest value?  (a) j  (b) -2\/3  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 99 + 1 = 0. What is the lowest common multiple of (-16)\/6*(-1 + -2) and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 147901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -14*w + 28. Let k be q(-6). Let c = k + -107. Let y(g) = 2*g - 4. Give y(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 - (6\/(-18) - 0)*(-92 - -104)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2425648067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 137\/41 or 3?\nAnswer: 137\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -388  (b) 449  (c) 0.07  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, z: 8, j: 6}. What is prob of picking 1 j and 3 z?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 233 - 230.42. Let z = b + -0.58. Is -29 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6446 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/1092 and 85\/1931202.\nAnswer: 3862404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6\/7?  (a) -2\/19  (b) -2\/37  (c) -0.4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 154\/38 + 11\/(-209). Solve 3*m = l - 3*l + 21, o*l = 2*m + 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(576))\/(sqrt(8) - -1*(sqrt(32)\/sqrt(4) + sqrt(8))).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 - ((-15 - -20 - (-8 - -19)) + 12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of -1\/3*m**3 - 94 + 0*m + 0*m**2. Let q(r) = 2*r + 3 - 3. What is j(q(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**2 + 36*t - 37. Let g be v(-21). Let u = 134 - g. Calculate the greatest common divisor of u and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k - 1. Let l be r(7). Calculate the highest common divisor of 24 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -34 - -36. Let g(o) = -8*o**w - 1 - 2*o + o - o. Determine g(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 1620832654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w - 5 + 5 + 1 - w - 1 + (-4*w + 5*w + 0*w)*(3 - 4 - 1) - 1 + 1 - w + 25*w - 15*w + 27*w)*(-4*w**3 + 4*w**3 + w**4) + 8*w - 5*w**5 - 8*w.\nAnswer: 30*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2200 divided by -20.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.98 - 0.02. Let g be 19\/(-45) - (-40)\/200. Put n, 3\/2, g in decreasing order.\nAnswer: 3\/2, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5739 + 827 = -2*b. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -101*q**4 + 5*q - q - 2 + 5*q**3 - 4*q**3 + 8*q**3 + 121*q**4 in the form r*q**3 + z*q**4 + w*q**2 + c + a*q and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/1476122 and 113\/4610.\nAnswer: 7380610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add -28 and 3350686839090.\nAnswer: 3350686839062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198347 is divided by 184.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - 3) + 56 + -3 + (-7 - 0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 plus -3424?\nAnswer: -3423.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the second derivative of -2*v**7\/21 + 10*v**6\/3 - 38*v**5 + 90*v**4 + 810*v**3 + 1458*v**2 + 70*v. Suppose m(q) = 0. What is q?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1225 (base 8) to base 11\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from khhnhhkpcckh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -7*m + 10. Let x(h) = -2*h - m*h - 4*h + 1 + h. Let l(c) = -3*c. Determine -5*l(d) + 2*x(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 612 - -40613?\nAnswer: 41525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 535 = 8*h - 3*h. Let j(u) = h + 2*u - 107. Let d(m) be the second derivative of 5*m**4\/4 + 344*m. Determine j(d(a)).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2*v**2. Let w(o) = 3*o + 0 + 0 + 5*o. Determine w(s(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34 - (-4 + (25 - (21 - 13)) + -8).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 3*n - 2*o + 3*o, -3*o = -n + 26. Find the third derivative of -d**2 + 3*d**2 - 10*d**3 + 10 + 44 - n wrt d.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -8*k - 141. Let d be y(-18). Suppose d*f - 2021 = 2161. List the prime factors of f.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 420*z. Let i(q) = 23*q - 15*q - 6*q. Determine w(i(d)).\nAnswer: 840*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6b9818 - 2?\nAnswer: -6b981a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -234140541 (base 6) to base 13\nAnswer: -bb0276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1878.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 0 + 6 - (14 + -6)) + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23*n**5 - 89647*n**3 + 8*n**2 + 29*n - 55 wrt n.\nAnswer: -1380*n**2 - 537882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 PM and 4:54 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3735 and 179402010.\nAnswer: 538206030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.560841 nanograms in milligrams?\nAnswer: 0.000003560841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-68)\/2*224\/(-48)*(-225)\/1050.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8*b**4 + 163*b**2 - 3*b + 196566?\nAnswer: 32*b**3 + 326*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of 1\/12*q**4 - 23*q + 0*q**2 + 1\/6*q**3 + 0. What is x(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4881, 5836, 2861, -4044, -14879, -29644?\nAnswer: -48339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 + -0.0419\nAnswer: 0.0581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -202*x - 249*x**2 + 202*x to r*x + t + y*x**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.0716423 times 2\nAnswer: 0.1432846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 - (-19 + (-18 - 0) + -47)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -92 - -101. Let n be (q\/16)\/(51\/(-34)). Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27 - -61. Suppose 0 = -6*m + 89 + 43. Calculate the greatest common divisor of m and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -20*q + 12. Let s(v) = 18*v - 10. Let z(h) = -6*s(h) - 5*x(h). Let a(d) = 43*d**2. What is z(a(c))?\nAnswer: -344*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 3*g - 12. Let b be j(5). Suppose b*p - 10 = p. Calculate the highest common factor of p and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -115 divided by -6?\nAnswer: 115\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3347*o - 661027 = 1941*o - 227411 for o.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 105 = -3*a. Suppose 4*g - 3*x - 78 = 0, x + 25 = g + 3*x. What is the remainder when g\/(-49) - (-524)\/14 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2079 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (3 + (1*sqrt(171))**2 + -5 + 1 - (-2 + (sqrt(171) + 0 - sqrt(171)) + sqrt(171) - sqrt(171)*-1*-6)**2).\nAnswer: -4107 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 37647b6 - -1?\nAnswer: 37647b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 680 = -5*p + 5*r, 5*p + 553 = p + r. Let u = p - -155. Calculate the remainder when 79 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 - -5 - (6 - 6 - 37493). Let m = 55978 - b. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {k: 5, g: 3, s: 6, b: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19462 - -42997. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 12*c - 186. Let n be k(18). Suppose -n*j - 3*j = -54054. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -9*5\/(-15) + 2. Suppose -3*u = -37 - y. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -3*l - 1, -39397*p - 2*l - 75 = -39402*p + 3*l for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 35. Let n(q) = q + 1. Give 3*n(a) + t(a).\nAnswer: 3*a + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*o**2*q**3 - 1587*o**2*q**2 - 17*o*q**3 wrt q.\nAnswer: -30*o**2 - 102*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 33 (base 9) to base 10\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9309 and 451619929?\nAnswer: 3103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 6 = -0. Find the third derivative of 3*k**5 - 5*k**2 + 3*k**2 - 6*k**5 - k**s wrt k.\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28548691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 10857?\nAnswer: 10862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 155045404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 217270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17855 (base 9) to base 2.\nAnswer: -11000001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -426 = -4*c + c - 3*i, i = -4*c + 562. Suppose -6*u = 122 - c. Solve 160 = -u*s + 175 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.10004 + 0.1.\nAnswer: 0.20004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -24775.92?\nAnswer: -49551.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1117 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b**3 + 2*b - 3*b**2 - b**2 - b - 4 - b**3. Let a be q(3). Let u(n) = n**2 + 8*n + 11. Is u(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = n + 6. Let u(c) = 3*c - 2 - 2*c - n*c. What are the prime factors of u(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -543.7589388 rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.164048717 to four dps.\nAnswer: -0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.3 + -4. Let w = -1.3 + k. Let d = w + 0. Which is the biggest value?  (a) d  (b) -3  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + 10 - ((-1 - 6) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 + 2. Let o be r(0). Suppose o*v + 0*v = 44. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 509 + 31 = -90*h. Let j be 2\/(-5) + (-64)\/10. Which is greater: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 6 + 14. Let k(j) = -j**3 - 4*j**2 + 7*j + 6. Let h be k(f). Let c be (-5 + (1 - h))*(-1)\/2. Is c less than -5\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 195764?\nAnswer: 2, 109, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/(-420)*-7*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the second derivative of v**5\/5 - 7*v**4\/12 - 3*v. What is the third derivative of k(d) wrt d?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a hour in seconds?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - -7. Let a be 15*-4*2\/(-12). Suppose 0*z + z - 37 = -4*r, -z + a = r. Calculate the highest common factor of s and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-2*sqrt(3520) - (-2*2*sqrt(3520) + sqrt(3520)))\/(-1*1*sqrt(5) + sqrt(720)*3 + sqrt(720) + sqrt(720)).\nAnswer: 120*sqrt(11)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -67, -60, -51, -40, -27, -12, 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*u + 7*u + 30 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of ((-15)\/(450\/12))\/((-285243)\/(-142625) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 0.5, 0.1, 5, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = i + 29, -3*m + 21*i + 15 = 18*i. Let f(r) = -174*r. Let n be f(-1). Suppose -m*s = n - 582. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 5*x - 17 - 20 = 0, -x - 10 = -5*r. Suppose -2 - 4 = -r*h. Calculate the remainder when 24 is divided by -1*1\/(h\/(-26)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1408 is divided by 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -15041*f + 5745655. Give n(382).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 44*k**3*v**2 + 60*k**3 + 4*k**2*v**2 - 2*k**2*v wrt v?\nAnswer: 88*k**3 + 8*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -4 - 4. Let r = o + 22. Suppose 1 = t - r. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131 is divided by 36.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -358, -350, -338, -322, -302, -278?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12581166*c**3 + 5897358*c**2 wrt c.\nAnswer: 75486996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 5003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -2*c**2 - 78638*c - 157268 = 0.\nAnswer: -39317, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:50 PM and 2:59 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 4*f. Suppose -2*o + 0 + 4 = f. Let c(l) = l**2 - 4*l**2 + l**o. Let m(r) = -4*r**2. Give m(c(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-5))\/((-109)\/(-2071)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4 + 0 = 3*s, 20 = 5*s + o. Suppose -s*p = -2*l + 2*p + 133, 3*l + 2*p = 171. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 2:11 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111100011010 (base 2) to base 5.\nAnswer: 110431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -196 + 71 - 4*q + 54 + 8*q in the form x*q + c and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of 3*o + 1\/2*o**2 - 31. Calculate u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -3, 3, 1201.\nAnswer: -3, -0.1, 3, 1201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -1.4. Let c = -0.16 + -3.84. Sort c, -3\/4, l in decreasing order.\nAnswer: l, -3\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 0*q = 5*q + 25, 5*b - 71 = -2*q. Calculate the remainder when 37 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, j: 2, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17714930 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 6.453268 millilitres?\nAnswer: 0.006453268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2874352 to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 960 = 4*a. Suppose -2*m + a = 4*m. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 146 - -41. Let f = a - 186. Which is bigger: 3\/145 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l. Let d(p) = 545*p - 570*p**2 - 545*p. What is r(d(h))?\nAnswer: -570*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 48.14 and 58.\nAnswer: 2792.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13912.5 - -13913. Which is the fourth smallest value?  (a) 2\/783  (b) -0.2  (c) 3\/4  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-24)\/9)\/4*51. Let o = n - -39. Find the second derivative of 0*s**5 + 3*s**5 + 6*s**o - 2*s - 15*s wrt s.\nAnswer: 180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, h: 2, m: 3, t: 2, i: 1, r: 4}. Give prob of sequence ttx.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 7 + 26. Let r = d + -53. List the prime factors of ((-126)\/15)\/(4\/r).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(2299)*3 + -1 - ((-2 + sqrt(2299)*-3)*-3)**2.\nAnswer: -186251 - 1155*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/(-8))\/(5\/20). Let u be -5*(-95)\/(r - -4). Let o be (-14)\/(-10) + (-38)\/u. Solve -3 - o = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: -793 times -7.4\nAnswer: 5868.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 - (3 - (-1 - -6)). Suppose 2*n - 348 = f - 3*f, d = 5*n - 2*f - 898. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-646 - -639)*17\/(-21)?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 45*v - 11*v - v + 59*v as y + j*v and give j.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10*50\/(-4) + (-1 - -2). Let m = 91 - 164. Let j = m - g. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d + 2. Let g be x(6). Let z(v) = 2 + v - 6*v**2 + 2*v - v**3 + 2*v**2. Let u be z(-5). Solve 0 = -4*m - u - g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 - 41 + 567 + 374 = -33*x for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15314669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.7390807 centuries?\nAnswer: 7.390807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60.35808 milligrams to kilograms.\nAnswer: 0.00006035808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 998, 1997, 2996, 3995?\nAnswer: 4994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 356132 and 85162.\nAnswer: 3917452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 875 and 6082300.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/15*(-2)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*p - 7326 - 1528 = 0. Let q = -135 - p. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-67 - 0)\/(5\/(-35)). Let x = r + -470. Which is smaller: x or 5\/44?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.27 + 1.176?\nAnswer: 21.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -4*y - 16, 4*n = -3*y + 8*n - 5. Put 4, y, -4\/9, 0.3 in ascending order.\nAnswer: y, -4\/9, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-368)\/(-96) + 10\/(-12). Suppose -2*a + 3 = 8*r - 9*r, 2*r + 2 = v*a. Factor 0*c**3 + 4\/11*c**a - 4\/11*c**2 - 2\/11*c + 2\/11*c**5 + 0.\nAnswer: 2*c*(c - 1)*(c + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -4*q, -5*q = -y + 5 + 9. Let k(a) = a**3 + a**2 - 2*a - 2. Let s be k(-2). Suppose 0 = -7*j + 4*j + 15. What is the closest to 1\/4 in j, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9748*d**2 + 28680*d**2 - 9758*d**2 - 9256*d**2.\nAnswer: -82*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25868 = -4*s - 40*q + 35*q, -4*q = -4*s + 25868. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqqjqjqqqqqqqqqqqq. Give prob of picking 1 j and 1 q.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*n**2*y**3 + 7*n**2*y**2 + 4*n**2 + 540790*n*y**4 + 2*n*y**2 - 134*n*y wrt y?\nAnswer: -12*n**2 + 12978960*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - 121?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*m + 3*x = 87, 0 = -6*m + 4*x - 288 + 351 - 289 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.115331369 and -7.\nAnswer: -6.884668631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9059330486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b + 4*l - 214, -2*b + 3*l + 54 = -b. Suppose -2*q - q = -b. What is the smallest common multiple of q and ((-2)\/(-9) - 4\/18) + 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1986 - 0.0014. Let s be (-144)\/28*(-21)\/6. Let z be 16\/s*(-2)\/(-8). Which is the third smallest value?  (a) 5  (b) z  (c) n  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 20 - (24 + -203 + 98)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4695, 4694, 4693, 4692, 4691, 4690?\nAnswer: 4689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 + 16*w**2 - w + 22. Let g be ((-36)\/15 + 4)*10. Let n be v(g). Solve -b = -n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1016815307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -12173 and -25948.1?\nAnswer: 13775.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in 3, -2\/25, 0.5, -0.01, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -7200, -14402, -21604, -28806, -36008, -43210?\n\"Answer: -7202*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11396593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-16)\/n)**32*n**2\/n*n*(n*n*n**(2\/7)*n*n)\/n assuming n is positive.\nAnswer: n**(-3771\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 631 and 3263.\nAnswer: 2058953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*k - 16*k - 47 + 9.\nAnswer: -k - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -48678 by -48678.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 27\/5 + (-12)\/30. Let b = q - 0. Calculate the highest common divisor of b and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 506544 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1452.1347 rounded to the nearest ten?\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 690*h**3 + 400*h + 3*h**4 + 41557*h**2 + 2880 - 103*h**4 - 15*h**3 - 43257*h**2 + 5*h**5 = 0.\nAnswer: -1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/2 + 59*c.\nAnswer: c*(c + 118)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -22, -47, -88, -145?\n\"Answer: -8*g**2 - g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 497*x**2 - 911*x + 1. Is y(48) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-40)\/8)\/(1805\/(-57))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 12\/54 - (-25)\/9. Suppose -2 = 2*j, s + s + 5*j - l = 0. Suppose 3*b - 18400008 = -s*t + b, -2*b = -3*t + 13799992. Round t to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 102762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/3)\/((-42)\/(-693)). Is 2 a factor of (1\/3)\/((11\/39)\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -3*h + 2. Suppose -p - p = -20. Let d(i) = -i**3 + 10*i**2 - 2*i + 4. Let o be d(p). What is the tens digit of k(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 + b - 2. Let k be a(2). Suppose -1 = -k*t - 5. Let i = 17.5 + -11.5. What is the closest to t in -5, i, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-20)\/9 - 14\/(-63). Let p be (0\/c - -21) + -2. Let f = -7 + p. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*-5*(sqrt(420)\/(sqrt(21)\/sqrt(3)))\/(sqrt(1452)*-1 - sqrt(1452) - sqrt(1452)).\nAnswer: -10*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/12*((-1)\/(-1))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3434343 (base 5) in base 8?\nAnswer: 170630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 9) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1209603 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1084873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -q**3 - 1 + 0*q**2 - 2*q + 4*q + 3*q**4 + q**2 - 9*q**2 in the form n*q**4 + i*q + j*q**2 + t + k*q**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -28453.035911308 - 3\nAnswer: -28456.035911308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 9*d = 20. Let o(l) = d*l**3 - 5*l**3 - 9*l**2 - l - 5 - 2. Let j be o(-9). Solve -k - j*k = -4*g + 23, -5*g + 25 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < 2\/6032539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3940483, 3940484, 3940485, 3940486?\nAnswer: 3940487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2491 - 8957 - 180*p - 11556*p**2 - 198*p + 378*p wrt p?\nAnswer: -23112*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -27, -9, 37, 123, 261, 463?\n\"Answer: 2*u**3 + 2*u**2 - 2*u - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4221 and 10280346?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of -w**2 - 59. Let m(r) = 4*r - 4*r - 4*r. What is m(g(i))?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of l**6\/120 + l**5\/15 - l**4\/4 - 2*l**3\/3 - 2*l**2. Let n = -42 - -37. Calculate h(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 348 and 5772?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-12) + 14\/(-24). Let m = -295 + 293.03. Let y = 0.03 - m. What is the nearest to 1\/4 in y, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2303 + 23211332?\nAnswer: 23220301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1124 is divided by 1048?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6942 - 6977. Let n(o) = o**3 + 36*o**2 + 32*o - 111. Determine n(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2*m - 8. Let a be c(6). Let p(s) = -a + 4 - 3*s + 0. Let d(n) = -2*n**2 + n**2 - n**2. Calculate d(p(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 2*w + 26. Let o be m(-15). What is the tens digit of o\/5 - (-16232)\/40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 1897 = 2. Let i = 388 + b. What is the highest common factor of i and 351?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 1 + 6*n**2 - 2*n**2 - 4 - 4*n. Is g(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = 2*m + 6, -m = 2*w - 3 - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -11*l**3 - 1. Let j be y(-1). Let f(a) = 10*a + 10. Let o be f(j). Calculate the greatest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52896029 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1762393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 74439091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 - 6*o**2 + o + 8. Let y(v) = -10*v + 3. Suppose -4*s + 21 = -3*c - 9*s, -7 = 2*c + s. Let u be y(c). Let f = u - 29. Determine x(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 4754192?\nAnswer: 14262576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -85.24 - 6.06. Let z = m - -101. Let d = -28.4 + z. What is d rounded to 0 decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in four thirds of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - 74*w + 833. What is y(60)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1912 is divided by 137.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 255731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -110344*r**4 - 93306*r wrt r.\nAnswer: -1324128*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - (23 + -2)) + 13 + -15 - -14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of -d**9\/504 - d**6\/20 + 3*d**3\/2 + d**2. Let x(k) be the first derivative of h(k). What is the third derivative of x(f) wrt f?\nAnswer: -360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 686*o + 170439*o**2 - 169283*o**2 + 1257*o wrt o.\nAnswer: 2312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 617*i = -613*i + 2934, 4*m = 4*i + 5836. Is m a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -309*d**2 - 3108*d - 175. Calculate v(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times 124191.31\nAnswer: -62095.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 57*a**2 - a - 2. Let l be p(-1). Calculate the remainder when 9 is divided by 30\/8 - (-14)\/l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -223, -1, -2 in increasing order.\nAnswer: -223, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7 times 274?\nAnswer: -191.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-372)\/9 + -2)\/(15\/(-45))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 - u - 2. Let x(h) = -8*h**2 + 2*h - 2. Let d(s) = -5*p(s) + x(s). Let c be d(3). Solve 3*j = c*f + 6, -2*j + 3*f + 4 = -0*f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide (-9)\/168 + 20\/160 - 116547\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6.6 + 7. Let g = 0.3 + 0.2. Let v = -22\/29 + -64\/145. What is the third smallest value in p, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 344572557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 + 5*l - 6. Calculate the common denominator of y(6) and 825\/30*2*(-2)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 10:05 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*w**2 + 14*w**2 + 4*w**2 + (-3*w**2 + 3*w**2 + 2*w**2)*(-2 - 1 + 2) - 2*w**2 - w**2 + 4*w**2.\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 3*a = -39, 51*a = 4*o + 56*a + 1. Solve -z - o*h - 1 = -h, -2 = 2*z + 5*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 0 + 1 = o, -2*q = 4*o + 4. Suppose -6*g = -4*g + q*i + 20, 4*g + 2*i + 10 = 0. Factor 3\/5*b**5 + 0 + 0*b + g*b**2 + 3\/5*b**3 + 6\/5*b**4.\nAnswer: 3*b**3*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35870 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 24445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 6:23 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 96210 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-one fifths of a century?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-608)\/12)\/(-19)*6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/40)\/(380\/200)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.78 - 0.83. Let u = 0.7 - -1.3. Which is the nearest to -1?  (a) 1  (b) f  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132*w**2 + 381*w**2 - 150*w**2 - 95*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4\/(-12))\/((25\/(-60))\/5). Solve -2*h - 6 = -2*n, 4 - 14 = -c*n + 5*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1850 and 1506825?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c**5 + 12960*c**4 + 167760*c**3 + 321910*c**2 - 1198965*c + 696330 = 0. Calculate c.\nAnswer: -2579, -9, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**2 + 3*i + 2. Let w be r(-6). Calculate the greatest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11+1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**2 - r. Suppose 14*c - 3*c - 22 = 0. Let z(o) = 24*o**2 - 2*o**2 - 2*o**2 - 10*o**c - 8*o**2. Calculate -3*w(p) - 2*z(p).\nAnswer: -p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 318 - 201. Suppose -l + 5*l - x = k, 0 = 4*l - 4*x - 132. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4288 + 4299 - 8587 - 3*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 PM and 9:24 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 0. Let a be (s*(-1 + 2))\/(-1). Suppose a*z + 3 = z. What is the greatest common factor of 33 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 12 = 15. Solve -s + h*s = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 + 29*r**2 - 24*r + 8. What is o(28)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -146 + 46. Let b = k + 45. What is the greatest common divisor of b and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 76 - 42. Let r = s - 12. Calculate the highest common divisor of r and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 59935, 239752, 539439, 958990, 1498399, 2157660, 2936767?\nAnswer: 3835714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - 18. What is the nearest to 2 in 0.2, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a - 6*a - 998 + 994)*(-20 + 10 + 44)*(4*a**4 - 4*a**4 - a**4).\nAnswer: 374*a**5 + 136*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 11:25 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*p + 6*p = -15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/1876315 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 202 + 32223310323?\nAnswer: 32223311131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1477*u**3 - 1789*u**3 + 3268*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 7*l**3 + 7*l**2 + 3*l + 2. Let s(u) = -6*u**3 - 6*u**2 - 2*u - 1. Give 3*d(v) + 4*s(v).\nAnswer: -3*v**3 - 3*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 136 and 12?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(162) + -2) + -3 + -4)**2 - (1 + (-1*sqrt(162) + -1 + sqrt(162) + 2 + sqrt(162)*1)**2).\nAnswer: -1548*sqrt(2) + 4175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 4*r - 23, 5 = -3*x + 5*r - 14. Let n be 2\/x - (-51)\/9. Let y be 2 - (-10)\/(n - 4). Calculate the greatest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 120.097 to 1 dp.\nAnswer: 120.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -78*c**3 - 3*c**2 - 5*c - 3. Determine f(-1).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2145243029\/178710 - -553369\/1554. Let x = -12360 + l. Let k = x + -423\/230. Calculate the common denominator of k and 37\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9629*v + 28356*v + 1 - 1 in the form w*v + a and give w.\nAnswer: 18727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.06, -250, -2\/7, -0.3 in descending order.\nAnswer: -0.06, -2\/7, -0.3, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 42782 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 11*p**2 + 4*p + 2. Let s(d) = -32*d**2 - 12*d - 5. Let n(t) = -11*h(t) - 4*s(t). Let r be n(4). Let w = r + -73. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -3656.8, 32 in increasing order.\nAnswer: -3656.8, 0.4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -59 - -166. List the prime factors of l.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (23 - (-8 - (-2 + -12))) + -47\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of -r**3\/3 + 4*r**2 + 11*r + 3. Calculate the remainder when 31 is divided by d(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4*(-5)\/10 + 1 + 0. Sort -4, 4, -1, x in increasing order.\nAnswer: -4, -1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**2 + s**2 + 3*s**3 + (-4*s - 2 + 2)*(-s**2 - 2*s**2 + s**2) + 0*s**3 - s**3 + 7*s**3)*(-s**2 + s**2 - 2*s**2).\nAnswer: -34*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 - (-339087 - (-5 - (3 - 53)\/5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 take away -2364871?\nAnswer: 2364862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 16271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2023, 2026, 2029, 2032, 2035, 2038?\nAnswer: 2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -6*f**3 + 8 - 4*f**2 + 5*f**3 + 3*f**2. Give b(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 460, 1819, 4080, 7243, 11308, 16275?\n\"Answer: 451*v**2 + 6*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/4)*c)**(-13)*(c**2*c*c)\/c**(-2\/11) assuming c is positive.\nAnswer: c**(-245\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 - 13*w**2 - 13*w - 12. Let b be x(-12). Suppose b = -0*r + 4*r. Solve -g = -r*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 + 5*p + 4. Let o be n(5). Which is the fourth biggest value?  (a) -25  (b) 5  (c) o  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*z - 9*z + 84 = 0. Let a = z - -23. Solve -2*y - y - a*j = -1, 2*j = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8963.04893351 + -430230.87116949. Let n = -439172.22 - a. Let x = -21.7 + n. Round x to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:30 PM and 10:53 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4.4*-5336\nAnswer: -23478.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -4101498 divided by -9907\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -91820704*f**5 + 75537351*f**2.\nAnswer: -5509242240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7660 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 + 2*t - 16. Calculate r(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 642 - 190. Let l be d\/(-4) - (5 - 0). Let z = l - -109. Put -1\/9, z, 0.2, -3 in decreasing order.\nAnswer: 0.2, -1\/9, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 5*d = 24. Calculate the common denominator of -40\/87 and (d\/54*2)\/(2\/(-12)).\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of -p**6\/200 + 47*p**5\/50 - 115*p**4\/2 + 2116*p**3\/5 + 721*p**2. Let w(i) = 0. Calculate i.\nAnswer: 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + 4. Let t be 2 + (-96)\/51 - v. Let m = -94\/9 + 97\/9. What is the third biggest value in t, m, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.05 - -0.05. What is the smallest value in v, -0.1, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - 40*r + 40. Let m be k(1). Which is bigger: m or 33\/124?\nAnswer: 33\/124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -262387 < -1049551\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 322942541 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -287537085 to the nearest 100000.\nAnswer: -287500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-33)\/2 - 26167\/(-1918).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*g - 8*g + 24*g.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 + -2)\/6 + 3115805\/66 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -301746 != -603489\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3419109 and 274?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*a**2 - 2*a**2 - 11*a**2 - 2*a**2.\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30129, -60303, -90493, -120699?\nAnswer: -150921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 12:39 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -176 - -3?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107 = 71*n + 35. What is the closest to n in 0.2, -0.1, 1, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(72)*1.\nAnswer: 1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5586795883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 19*d**2 - 9*d + 15. Let j(w) = 3*w**2 - w + 2. Let v(t) = -b(t) + 5*j(t). Calculate v(4).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -12 + -3200500?\nAnswer: -3200512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-20)*(-6)\/(-9)*(37 - 42)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -n + 3*x + 5, -30 = -3*n - 5*x. Let f(h) = -8 + h + 11 + n + 7. Does 3 divide f(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 45613, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**3 + 0*b**3 + 5*b**3 + (5 - 5 - 2*b)*(-3*b**2 - b**2 + 5*b**2) - 2*b**2 + 2*b**3 + 2*b**2.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.1 - 1.1. Suppose -207*x = -205*x - 10. Suppose x*f + 14 = -3*t, t + 12 = -f + 5*t. Which is the nearest to 0?  (a) f  (b) 0.5  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 33*z + 997. Suppose -2*p = 2, -4 = -5*b - 4*p + 12. What is the smallest common multiple of m(-29) and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of -o**4\/4 + 11*o**3\/3 + 7*o**2 - 2*o + 375. Suppose 0 = -x - 0*x + 12. Is u(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 6. Solve i*p = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/16)\/((-3)\/(-5316)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24, 20, 6, -24, -76, -156, -270?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -0.3  (b) 77547  (c) 2\/5  (d) 0.2  (e) -4  (f) 1\/2  (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = -4*n + 6, -n = -5*v + 23 - 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84232?\nAnswer: 2, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 - (4 - (2 - 3)). Let n(u) = 374*u - 2964. Let k be n(8). Sort s, 2, k.\nAnswer: s, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 9 = p. Let l(v) = 15*v**3 + 2*v**2 - 1. Let n be l(1). Suppose -4*w - 4*w = -n. Sort p, w, 9 in ascending order.\nAnswer: w, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 474 and 105743238?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3221787.\nAnswer: 3, 277, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 75628 and 6993?\nAnswer: 2041956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 226, 169, 114, 61?\n\"Answer: f**2 - 60*f + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 33 = -s, 3*k + 5*s + 60 = -0*k. Let b be (k\/(-6))\/((-1)\/4*2). What is the tens digit of ((-57)\/b)\/(3\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*o - 20 = 20*o. Find the third derivative of 39*f**2 - o*f**3 - 22*f**3 - 91 + 91 wrt f.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -1, -10, 0.1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xo when two letters picked without replacement from {x: 11, o: 2}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 117 in -18\/11, -5, 1\/7, -2\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*i - 120 - 1116. Calculate the remainder when i is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5.04 - 0.04. Let a = -19.95 + 20. Let z = a - 3.05. What is the smallest value in 1, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(65)\/sqrt(5) + sqrt(13) + ((sqrt(13) - (2 + sqrt(13) - sqrt(13))) + 2)**2.\nAnswer: 2*sqrt(13) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -506327466671 - -34.\nAnswer: -506327466637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of -2*n**6 - 4*n**3 + 4. Find the third derivative of a(v) wrt v.\nAnswer: -720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1479 and 214552614?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/1*(2 - 0)*7223\/(-466). Sort 7, x, -4, 5 in ascending order.\nAnswer: x, -4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 39698 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 + -3 + 3\/3. What are the prime factors of (1 + o)*24\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 54 - -3463?\nAnswer: 3550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + -12. Let h be (-4)\/(-6) - 6\/n. Let h + 4\/3*b + 1\/3*b**2 = 0. Calculate b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q = 19 - 1. Let d be 3*((-14)\/q - 4) - -100. Let o = 105 - d. Solve -4 = -2*n + h, o*n - 24 = 2*h - 5*h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -748\/7*o**3 + 140624\/7*o + 2\/7*o**4 + 69186\/7*o**2 + 70688\/7.\nAnswer: 2*(o - 188)**2*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 210 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 766232 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 23 = -0*f + f, -2*q - 22 = 4*f. Calculate the remainder when 100*2\/f*-2 is divided by (2 - 1)*(-5)\/((-5)\/17).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 409114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13*x**4 + 5*x**2 - 34 wrt x.\nAnswer: 52*x**3 + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**3 + 5*g**2 - 3*g + 1. Let z be o(4). Suppose 3*b = -s - 2*b - 5, 3*s - z*b = 45. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of w**2 + 7*w**2 + 61*w - 4*w**3 - 61*w wrt w?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (294\/(-245))\/(((-2)\/10)\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -549744727 divided by -19\nAnswer: 28933933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*p - 51 - 5*p + 7*p - 6*p + 0*p.\nAnswer: 2*p - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*f - 18 = f, f = -2*x - 10. Let s be (4 - 22)\/(2 + x). What is the greatest common divisor of 27 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -641*i = -3*n - 644*i + 117, -5*i = 13*n - 515 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of o**5\/12 + 98*o**2. Let r(k) = -k**2. Give r(d(b)).\nAnswer: -25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xta when three letters picked without replacement from {a: 6, p: 4, j: 3, t: 2, d: 4, x: 1}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 - (-2 + -1 + 2). Suppose -4*p - r = 2*r - 1, -3*p = s*r + 13. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2\/9 + 40940*d\/3 + 187442000\/9.\nAnswer: -2*(d - 62900)*(d + 1490)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2452 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -19 + 23 + (-1 - 25\/8)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-four thirds of a century in months?\nAnswer: 29600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k**6\/k))\/(k\/(k*k**(-4\/7)))*k*k**(2\/9)\/k*k**1\/k)**(11\/4) assuming k is positive.\nAnswer: k**(-1507\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -1 - 2*u - 2*u**2 + 0*u**2 + 3*u**2. Suppose -4*z = -7*z, -z = -4*p - 28. Is o(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - (-11 + (13 - (4 - -6))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the third derivative of 7*c**6\/480 - 41*c**5\/240 + 5*c**4\/16 + 255*c**2. Factor q(x).\nAnswer: x*(x - 5)*(7*x - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 43*t**2 - 498*t - 25. Determine j(12).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(-4)*(-8)\/(-3). Let d = 4 - w. Suppose -4*a + 12*t - 7*t = 0, 6 = -2*a + 4*t. Solve a*o + x + 24 = 3*x, d = 5*x - 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 + 7*h**2 + 102*h - 61. Give x(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -3*y**4\/5 - 136362*y**3 + 2045448*y**2\/5 - 2045454*y\/5 + 681819\/5 = 0.\nAnswer: -227273, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -2*a**3 - 4*a + 5. Let s(h) = -2 + 3 - h**3 + 2*h - 3*h. Let r = 72 + -71. Let l be (0 - 2)\/(5\/10). Determine l*s(t) + r*m(t).\nAnswer: 2*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 958645520 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -23112023214 - 2?\nAnswer: -23112023221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, 97, 346, 729, 1246, 1897, 2682?\nAnswer: 3601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 46\/10 + (-2)\/(-5). Let v(p) = -3*p - p + z*p + 1. Let g be v(3). Solve -g*y + 5 = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**3\/8 + 61*l**2 - 11809*l\/8 - 2401\/4.\nAnswer: -(l - 49)**2*(5*l + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 160 and 980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -882 = 23*j - 26*j. Calculate the remainder when j is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 127*b**2 + 4*b - 3. What is the remainder when i(1) is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*c + 11 - 11)*(-2*c - 2*c + c - 2).\nAnswer: -21*c**2 - 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-248)\/(-12) - 4\/(-3). Let s = w + -22. Suppose 9*a - 4*a + 5 = s, -a + 191 = 3*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(133) - (sqrt(133) + (sqrt(133) - sqrt(133)*1)*4))*1)\/(-3*(sqrt(847)*-1 - sqrt(847))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7465\/26 or 287?\nAnswer: 287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 1:44 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4651*q**2 - 3*q + 4165.\nAnswer: 9302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -16, -219\/2, 0.1, 99, 0.5, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b - 38. Let k be u(-49). Suppose -k*s + 36 = s. Solve -2*j - s*z = -19, 0 = j - z + 5 - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -223*g + 222*g = -5*t - 15, -g = 5*t + 25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 2 q when four letters picked without replacement from aaqqqqaww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1974236 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzzzzz. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -69 - -126. Let b = w - 141. Let y = -72 - b. Solve -5*f - y = -8*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*l**2 - 2*l**2 - 3*l**2)*(-17 + 37 + 29)*(16 - 13 + 22) in the form y*l + i*l**2 + t and give i.\nAnswer: 3675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, -2, 4\/7, 9, 0, 3 in descending order.\nAnswer: 22, 9, 3, 4\/7, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 1066*w**2 - w - 1. Let m = -150 - -148. Is o(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -2*a - 1 - 40*a**2 + 19*a**2 + 23*a**2. Let o(n) = -n**2 + n. Let w(q) = -2 - 2*q**2 - 2 - 5*q + q**2. Let s be w(-5). Calculate s*o(p) - z(p).\nAnswer: 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1260818361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -15059, -15062, -15067, -15074?\n\"Answer: -y**2 - 15058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 3*n - 4*n. Let p be ((50\/75)\/((-10)\/(-6)))\/3. Sort p, -1\/6, n in descending order.\nAnswer: n, p, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a**2. Let x(l) = -10*l**2 - 14. Let t(z) = 2*z**2 + 3. Let s(p) = 14*t(p) + 3*x(p). What is i(s(h))?\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000005544 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*s = -u + 80*s - 19, 5*u - 4*s = -23 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as -11\/16795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 5*l**3 - 19*l**2 + 5*l - 2. Let g = 5 + -9. Let c(m) = 3*m**3 - 10*m**2 + 3*m - 1. Let d(i) = g*q(i) + 7*c(i). What is d(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((4*-2*sqrt(1700))**2 + 1).\nAnswer: 544005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkpkkkppkkkkkk. Give prob of picking 2 p.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -82*n - 4. Let l(r) = 81*r + 6. Determine -2*l(s) - 3*x(s).\nAnswer: 84*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -3*g - 1002, -3*r = -5*g - 1160 - 478. Is -325 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 546374974 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/18*-1 + 7\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*((-2)\/(-3))\/((-4)\/14)*-12.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4537.\nAnswer: 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21 + 26. Let r(p) = -3*p**3 + p**2 + 2*p + 1. Let i be r(-1). Solve i*m - o*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -116 - -136. Suppose 0 = -5*p + o, b + 2*p - 24 = -3*b. Solve 0 = -z - 5*c + 15, 4*z = -c - b + 7 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (22\/(-66) - 33\/(-18))*2. What is the closest to 0 in -2, 874, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 8, i: 2, b: 2, a: 5}. Give prob of sequence kb.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 334 is divided by 172.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*b**2 + 13*b**2 - 4*b**2 + 9*b**3.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88*d = -1478 + 766 - 2016. Solve 104 = 15*o - d for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111610.851808 minus -0.06?\nAnswer: 111610.911808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/6 or -319?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1590 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 d = 3 - 8. Let o = 10 + d. Suppose -4*m + 4*v = -m + 16, 5*v = o. Sort m, -5, 2.\nAnswer: -5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -5*(-2*(1 + (1 + sqrt(176))*3)*5 + 1)**2.\nAnswer: -799602 - 46800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 3745 = 5*q, -51*a = -56*a + 10. Calculate the remainder when q is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 98962962.\nAnswer: 395851848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/15 + 12\/5. Suppose z*d - 5*d = 9, -2*d = 2*q - 60. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -7004*j**2 + 309. Let k(q) = -113*q**2 + 5. Let d(g) = -5*c(g) + 309*k(g). Let l(b) = -b**2. Calculate l(d(n)).\nAnswer: -10609*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 - 18. Let k be d\/(-6)*-1*60. Let v be (-4)\/5 - (-8)\/10. Solve l + 3*l + k = v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90010661.\nAnswer: 13, 23, 301039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.048 times 274\nAnswer: 13.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/2 - 36*b + 73\/2.\nAnswer: -(b - 1)*(b + 73)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1716 and 416?\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z**2 + 4*z**2 + 7*z**2 + 3*z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 1 = 1. Suppose -5*j - x = -25, j - d + 1 = -x. Let q(h) = -2*h - 3*h + j*h. Let t(y) = -y**2. What is q(t(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 59 = -19. What is the third biggest value in 3\/4, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -11 + 66. Suppose -q + z = 2*i + 2, -4*i = 5*q - 27. Suppose q*r = -2*r. Solve 0*a = -3*a + d, 4*a - 4*d = r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39946*q**2 + 119855*q**2 - 39960*q**2 - 39953*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 736 - 736.618. Round r to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 2*r - 4. Give w(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - 1.1. Let y = t - 1.9. Which is the biggest value?  (a) 0.3  (b) y  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(81)\/(sqrt(90)\/(sqrt(10)*-3)))\/(-2*1*(sqrt(75) + sqrt(75)*3)).\nAnswer: 9*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 148140 and 185175?\nAnswer: 740700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 736*v**4 + 724*v**3 - 4*v - 13775111?\nAnswer: 2944*v**3 + 2172*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48 - 22 - 27 + 55*j**2.\nAnswer: 55*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 + 15*r - 10. Let q be v(13). Calculate the greatest common divisor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35874*r + 17939*r - 9282*r**2 + 17935*r to the form p*r**2 + o*r + i and give p.\nAnswer: -9282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5 + -1 + (-5 - -1). Suppose t + g - 28 = w, -102 = -4*t + 2*g - 4*g. What is the remainder when (-1 - -78)\/((-2)\/(-2)) is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 180212 - 180227.0078. Let g = -15 - z. What is g rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + q + 370145 = 0, -3*y + y - 3*q + 246778 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 124 = -4*b, -10*b + 5514*w - 342 = 5503*w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -20, 0.02, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 99 and 88956?\nAnswer: 978516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -14742676 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lnnnlnlnln. What is prob of picking 2 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddm when three letters picked without replacement from {d: 9, m: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of 4*v**6\/45 + v**5\/120 - v**4\/24 - v**2. Let c(w) be the second derivative of l(w). Is c(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 13) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1171314?\nAnswer: 2, 3, 109, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.14 + 4446.83.\nAnswer: 4446.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -4776 greater than -4773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 102*s**2 + 85*s + 4. What is the hundreds digit of y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48893.34 litres in millilitres?\nAnswer: 48893340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -4*f + 6. Let j be k(-6). Calculate the highest common divisor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 0) + 0 + -1 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -733 or -732?\nAnswer: -733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.0285+0.256499969\nAnswer: 0.227999969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 22*i - 7)*(-3 - 2 + 8) - 3*i - 2*i + 3*i - 3*i - 2*i + 6*i.\nAnswer: -67*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.06 - 0.01. Let z = -0.29 - t. Let o = 0.06 - z. Which is the third biggest value?  (a) o  (b) 3  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 + 1. Let y(m) = 7*m**3 + 13*m**2 - m - 16. Let b(f) = 6*r(f) + y(f). Let c be b(-13). Let q(l) = -2 + 4 - l - c. Give q(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000535413379 rounded to 7 dps?\nAnswer: -0.0005354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 2*m = -3*p - 45, -m - 5 = 4*p. Suppose -d + m = 3*w, -4 = -w - w. Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 75*q**4 - 18*q**3 - 24*q**2 + 4*q + 55564288 wrt q?\nAnswer: 300*q**3 - 54*q**2 - 48*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 PM and 7:51 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 248*w**2 - 82*w**2 - 169*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 h when three letters picked without replacement from dkhhhhehhhbhbhhkkhh.\nAnswer: 66\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 57\/(-11) - (-8)\/44. Let p be ((-10)\/4)\/c*12. Let x(n) = -2*n + 2. Give x(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**3 - 14*p**2 + 3*p - 15. Let h(t) = -55*t + 120. Let a(f) = 8*f - 17. Let n(z) = 20*a(z) + 3*h(z). Let j be n(7). Is 33 a factor of u(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**3\/5 - 1164*g**2\/5 + 4668*g\/5 - 4672\/5.\nAnswer: -(g - 2)**2*(g + 1168)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 41 - 9 = 0. Let r(y) = y**3 - 3*y**2 + 7. List the prime factors of r(g).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1438 is divided by 53.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 29815759 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-7)\/3 + (-2)\/(-6). Let f(i) = -i**2 + 15*i + 17. Let u be f(16). Suppose 4*w = 3*w. Put n, u, w in decreasing order.\nAnswer: u, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(84) - sqrt(84)*-2*3)\/((1*sqrt(96))\/sqrt(8)) + ((sqrt(490) - -1*sqrt(490))\/sqrt(10))\/(-2*sqrt(847)))**2 + 0.\nAnswer: 608*sqrt(7)\/11 + 42368\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 n when three letters picked without replacement from {j: 4, a: 8, n: 8}.\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - 4. Let y = -45.2 - -45. What is the closest to 0.1 in 0, o, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qfq when three letters picked without replacement from {z: 2, q: 2, d: 2, c: 1, f: 10, n: 1}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 5*j - 8, -10 = -3*i - 7*j + 8*j. Solve i*n - 6*n = 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 820\/(-8)*((-63)\/(-585)*13 + -1)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 528 and 212016?\nAnswer: 2332176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 172.4 + -23496189.\nAnswer: -23496016.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29 * -1.7.\nAnswer: 49.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 3*d**2 - 3*d + 7. Let a(p) = -p**2 - 1. What is 5*a(b) + m(b)?\nAnswer: -2*b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11424*l + 36 + l**3 - 11424*l - 3*l**3.\nAnswer: -2*l**3 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 43221 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-7)*(-7)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 878007 to the power of 1\/2, to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 1, -0.01, 237, 5, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1680 and 2519 + 2*(27\/(-135))\/((-4)\/10).\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*u**3 - 300*u**2 + 2376*u = 0. What is u?\nAnswer: 0, 9, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.06  (b) 1.69  (c) 4  (d) 14  (e) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 1\/122, 1\/5, 2\/3, 1\/4 in descending order.\nAnswer: 2\/3, 0.4, 1\/4, 1\/5, 1\/122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 1539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the third derivative of -f**9\/7560 - f**8\/840 - f**7\/252 - f**6\/180 + 13*f**4\/24 - 21*f**2. Let r(h) be the second derivative of n(h). Factor r(i).\nAnswer: -2*i*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 - 27. Let d be (14\/(-28))\/((-2)\/(-44)). Let q = d - a. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -13f59 - -7?\nAnswer: -13f52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 - 3*h + 1. Let k(p) = -3*p**2 + 7*p - 2. Let z(s) = -2*k(s) - 5*y(s). Does 3 divide z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -9*t + 10*t - 10, -t + 13 = 4*m. Let c be 1*-9*2\/(-6). What is the greatest common factor of c and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 + 5*n**2 + 3*n - 6. Let d be t(5). Let b be ((1 - 3) + (d - -1))\/2. Solve -u - 1 = -b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 - -6. Suppose 0 = z - 4*z + p. Find the second derivative of -3*b**5 - z*b + 5*b**5 + 6*b wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 73070 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes after 8:20 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/14 + (-69)\/(-21). Let i be 1\/(-3) - (-1)\/t. Suppose i = -l - l + 190. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000187747 rounded to 6 dps?\nAnswer: 0.000188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 - 0\/(-8))*1*-1. Is -8 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -102*j**3 - j. Let d be h(-1). Suppose 3*o - 1474 = -d. Suppose 208 + o = 5*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 r when three letters picked without replacement from aaar?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 936787840?\nAnswer: 2, 5, 59, 24809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 smaller than -8\/193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1169d (base 14) to base 11.\nAnswer: -29a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -973*k**3 - 1800*k**2 - 56. Let i(n) = -325*n**3 - 600*n**2 - 21. Let b(o) = -8*i(o) + 3*u(o). What is the third derivative of b(m) wrt m?\nAnswer: -1914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -3*o + 5*a + 13, 2*o - a - 12 = 0. Suppose -f = -o*f + 30. What is q in 8*q**5 + 7*q**5 + 5*q**3 + 25*q**4 + 0*q**f + 5*q**5 = 0?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -5*r - 9. Let l = -30 + 98. Calculate the remainder when (l*r)\/4 + 2 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of z**7\/168 + z**6\/30 + 3*z**5\/40 + z**4\/12 + z**3\/24 + 6*z + 7. Let x(m) be the first derivative of w(m). Factor x(v).\nAnswer: v*(v + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -21697*i + 347138. Determine y(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*u + 6 + 27 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2317552 and -0.06201.\nAnswer: 0.1697452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (4*(-22)\/(-32))\/(2\/88)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -5*p + 35, -2*a = -2*p - 3*p + 5. Suppose a*u + v - 792 + 11 = 0, -u + 2*v = -165. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5*6\/20*-4. Suppose 18*f - 4886 + 2174 = 4650. Suppose -t + 143 = -2*g + q, 3*t - 4*g = f. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22275, 19872, 17469, 15066?\nAnswer: 12663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the second derivative of -z**7\/10080 + z**6\/1440 - z**5\/480 - z**4\/4 - 2*z. Let u(b) be the third derivative of a(b). Suppose u(k) = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, -2\/5, -6\/7, -49, -4.\nAnswer: -49, -4, -6\/7, -2\/5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -5*c**3 - 3*c**2 - 3*c - 3. Let u(y) = -3*y**3 - 2*y**2 - 2*y - 2. What is -7*u(b) + 4*v(b)?\nAnswer: b**3 + 2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - h - 3*h + 4, -1 = 2*z - h. Which is the third biggest value?  (a) z  (b) 0.4  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t**4 + 2*t**4 - 3*t**4 + (2*t**3 + 0*t**3 - 4*t**3)*(-3*t + t + 4*t) + 2*t**4 - 4*t**4 + 0*t**4 + 3*t**3 - 3*t**2 + 2*t**2 - 39*t**4 + 49*t**4 + 2*t.\nAnswer: 5*t**4 + 3*t**3 - t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1440)\/3360)\/(2\/(-42))*2\/132?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 + 7 + 2*u + (-2*u + u - 2*u)*(-374 - 46 + 68) in the form a + b*u and give b.\nAnswer: 1058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/4)\/((-39)\/130).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - j = 73, -4*g + j - 39 = 23. Let p = g + 14. Let n be p + (-4 - 0) + 7. Solve n*y + 2 - 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + -2 - (13 + -17). Solve -2*l + 17 - 21 = j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160171261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -27 - -124. Let o = 250 - r. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1991\/36 - 500\/9. Let s = 73 + -77. Which is the nearest to 14?  (a) s  (b) x  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i - 5. Let v be c(15). Let m be 227\/v + 6\/(-75). Solve m = 4*s - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 199.89 plus -195?\nAnswer: 4.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c = 3*c + 300. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 12 - (-8 - -21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of 932*u**5\/15 + 75*u**4\/2 - 4*u**3\/3 - 16*u**2 - 26*u. Suppose j(g) = 0. What is g?\nAnswer: -1\/4, 2\/233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/16 and 125\/82 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o = 10*o + 8. Let s be -6 - (0 - -2)\/o. Sort -3, s, 0.\nAnswer: s, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 31369760 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a**2\/11 - 3370*a - 37068\/11 = 0.\nAnswer: -18534, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 239515.43 take away 3?\nAnswer: 239512.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 22636, 90523, 203672, 362089, 565780, 814751, 1109008, 1448557?\n\"Answer: q**3 + 22625*q**2 + 5*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-3)*55902\/3388.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pkppaaakppapaapa. Give prob of sequence pp.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -3*x - 21. Let j be d(-11). Let h = j + -9. Which is smaller: h or 15\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x**3 - 200*x**2 - 646*x - 44375. Give f(-99).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 1641.\nAnswer: -8205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -2*j**4 + 10*j**3 + 34*j**2 - 42*j = 0.\nAnswer: -3, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 5*p**4 - 12*p**3 - 33*p**2 - 10*p - 6. Let k(f) = 11*f**4 - 24*f**3 - 68*f**2 - 20*f - 13. Let u(n) = -6*k(n) + 13*w(n). Solve u(s) = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*g - 7*g = 1 - 1, 4*p - 2*p - 144 = 12*g for p.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (3393\/(-11310) - (-73)\/10)*(-1)\/(14\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 2 + 6 + -5 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 5, 73 = 2*q - 5*m - 2. Suppose 25*h = 29*h + q. List the prime factors of 937\/4 + h\/40.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 - 5*p**2 + 4*p - 1. Let o be x(3). Let s = 1 - o. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/14*(6\/(-18))\/(14\/21)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k - 35. Let v(g) be the first derivative of g**2\/2 + 18*g - 20. Let s(f) = -3*i(f) - 5*v(f). What is s(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 AM and 6:10 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1233)\/(-135) - (16\/30)\/4. Suppose -2*m + 212 = 3*p, -p + 88 - a = -m. What is the remainder when p is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4201075 to the nearest integer?\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5\/15 - 1000586\/(-3). Let c = 173530 - s. Let k be -1*(-1 - 0) - c. Round k to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -101, 3, -2, 4, 2 in decreasing order.\nAnswer: 4, 3, 2, -2, -16, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 149?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(280)*-1)\/sqrt(8))\/(-3*(sqrt(112) + sqrt(7)) - (sqrt(70)\/sqrt(2) + sqrt(35) + sqrt(35))\/sqrt(5)))**2.\nAnswer: 20\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 152 + -148. Differentiate -2 + r*h + 4*h - 5*h - 2*h**3 wrt h.\nAnswer: -6*h**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2054327 (base 10) to base 16\nAnswer: -1f58b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3725 = -4*u - 489. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -115.3701 + -3269404.\nAnswer: -3269519.3701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 3*w + 23 = 0, w + 41 = -4*l - 4*w. Let t be 12\/24 + (-3)\/2. Sort 3, l, t in ascending order.\nAnswer: l, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3527 is divided by 549?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -67*0.169.\nAnswer: -11.323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-10)*((u*(u*u**(1\/3))\/u*u*u)\/u)\/u)\/((u*u**(-1))\/u)**(5\/7) assuming u is positive.\nAnswer: u**(-167\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z**19*z))\/z**(1\/24))\/((z*z\/((z**(-5\/6)\/z)\/z))\/(z\/z**(1\/5))) assuming z is positive.\nAnswer: z**(-963\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 4*h = 0. Suppose h = -3*k + 5*k + o - 8, 20 = 2*k + 4*o. Solve 3*t - k = -17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -5*i + 23, 4*i + 2*h = 5*h + 6. Let l = -0.091 - -0.077. Let o = -7.014 - l. Which is the second biggest value?  (a) 0.2  (b) i  (c) -1  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10132 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + 1d4b?\nAnswer: 1d47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77 is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8\/12 + (-26)\/12. What is the third smallest value in c, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + 0. Let w = 8 + m. Solve w - 3 = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -w + 4*w - 4*w + (-3*w + 2*w + 2*w + (3 + 1 - 5)*(-48133 + 48133 - 1060*w))*(-4 - 4 + 6) as c*w + o and give c.\nAnswer: -2123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrzslzr. Give prob of sequence lzz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19 + -23. Does 9 divide 0 + (d - -8 - -18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2120475 (base 11) in base 12?\nAnswer: -1300a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-62)\/(-14) + (-1)\/(56\/24). Suppose -y*f - 9*f = -52. Is (-18)\/(-27)*2\/f*1347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 0*s = -s - 12, -5*s = -15. Sort v, 1, 2.\nAnswer: 1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -119253522 take away 0.0155374?\nAnswer: -119253522.0155374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 836 and 497629.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.018, -2, -2\/9?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2721 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -49 - -65. Solve -p - 9 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 250092576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y - y + 2*y)*(-3*y + 3*y - y) + (13*y - 3*y**2 - 13*y)*(-4 - 1 + 0).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 11) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/((-32)\/12 - -3). Let s(y) = -y**3 + 2*y**2 + 5*y - 5. Let r be s(g). Factor 22*x - r + 5 - 30*x + 8*x**3 - 4*x**4.\nAnswer: -4*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2315360 is divided by 1086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 2*g**3 - 64*g**2 - 2*g + 59. Let q be p(32). Which is the third biggest value?  (a) -24  (b) -3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + 20. Let w be p\/4*(-12)\/6. What is the units digit of (4 - 11)*w\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/(-3) + -5 - 2. Is q >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-2 - (1 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 846590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t**4 + 4*t**4 - 2*t**4 + (-t**3 - 3*t**2 + 3*t**2)*(25*t - 22*t - 22*t).\nAnswer: 17*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -5*c**2. Let f(g) = -g**3 + g + 4. Let w be f(0). Let t(o) be the third derivative of 0*o + 0*o**3 + 0 + 3*o**2 - 1\/12*o**w. Give u(t(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**4\/6 - 13*q**3\/2 - 281*q**2\/6 + 5713*q\/2 - 8410\/3.\nAnswer: (q - 29)**2*(q - 1)*(q + 20)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2177 and 137305.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*-4*(-3)\/(-24)*13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uevnvnhp. Give prob of picking 1 u and 1 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-20)*-2)\/(3*79\/2370).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -4*o - 1. Let r be (-86)\/8 + 2\/(-8). Let t(a) = 21*a + 5. Suppose 0 = -4*s - 5 - 3. Let k(l) = r*m(l) + s*t(l). What is the derivative of k(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - 21*g**2 - 41*g - 73. Give a(23).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1.4, 6\/5, -1, 1?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -85 - -150. What is the remainder when x is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(153) + 1)**2*-4)*4.\nAnswer: -2448 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 177*o = 179*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 5*u - 26400005, -5*f + u = -2*u - 32999997. What is f rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4537536 to the nearest integer?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 - 821*k**2 + 765*k**2 - 11 + 37 - 16.\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u**2 + 2180*u + 2176 = 0. What is u?\nAnswer: -544, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -4*f + 4. Let n be v(0). Solve 0 = n*z + 3*s - 16, 4 = 4*z - 3*z + s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (45 - (-13 + 9)) + -9\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.22 - 213.15\nAnswer: -212.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 5*t = 15, -5*m - 4*t + 8 = -8. Let i(x) = 3*x + 38. Let w be i(-11). Suppose -12 = -w*u + 2*u. Solve 3*a + 5 = -u*o, -6*o - 12 = -m*a - 2*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 - (-128570)\/2924 - 72.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y + y + 4*y)*(2*y**3 + 4*y**3 - 5*y**3) - 1775*y**2 + 16*y**4 - 4*y**3 + 1775*y**2 - 2.\nAnswer: 18*y**4 - 4*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7.27 - 5.27. Which is the nearest to 2?  (a) 0.5  (b) t  (c) 0.01  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*6\/176 + 5\/(-20)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1\/13)*m*m)**47 assuming m is positive.\nAnswer: m**(1175\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -64 + -2. Let n = b - -66.0037. Round n to 3 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 95\/576 and -157\/312?\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1847, 1847, 1849, 1853, 1859, 1867?\nAnswer: 1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 66319\/7, 169, -4?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 - 9*r - 3. Let v be t(-7). Let l(w) = -10 + 3*w - w + v. What is l(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129962.\nAnswer: 2, 7, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, 20, 58, 96, 134?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -12 + 15759d?\nAnswer: 15758b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - (sqrt(19) + (sqrt(76))**2 + -2)) + sqrt(38)\/sqrt(32) - (-5 + (-2*sqrt(2736) + sqrt(2736))*2).\nAnswer: -69 + 97*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 - i**2 - 4*i + 4. Let z be (6\/(-8))\/(2\/(-8)). Let f be b(z). Solve u - 4*v + f = 0, 3*v - 7 - 7 = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 24*v. Let l = 27 + -31. Let z(r) = -3*r. Let q(j) = -10*j. Let d(i) = l*q(i) + 14*z(i). Give o(d(u)).\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 + -6. Let x = o + -4. Which is the second smallest value?  (a) 2  (b) -0.4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - 44?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4, h: 6, x: 5}. What is prob of sequence hrxh?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 10314 (base 6) in base 2?\nAnswer: 10110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -74 * -67.255\nAnswer: 4976.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1892 + -1814. Suppose -5*f - 4*x = -f + 4, 5*x + 5 = 3*f. Suppose f*q - q + 6 = 0. Calculate the greatest common divisor of t and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1632.825 microseconds to hours.\nAnswer: 0.0000004535625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*d = 20 + 34 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 + 5*f**2 + 5*f + 8. Let m be v(6). Solve m*c + 3*c = 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -1168  (c) -1\/864  (d) -3\/2  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - 61?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10\/((-2)\/(-15)*55\/4103). Let t = i - 1802. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -338*z - 347*z - 308 + 674*z + 308.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x*x\/(x*x**2\/x*x*x)*x))**(-2\/9)*x\/((x**23*x*x)\/x*x)*x\/(x**(-3\/4)\/x)*x assuming x is positive.\nAnswer: x**(-737\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20154033 is divided by 2519237?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1283416427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**2 + 16*f + 44. Let r be s(-12). Let v be r\/(-22)*11\/1. Solve -3*c = v*c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 5*g. Suppose -3*k = -17 + 2. Sort k, g, 4 in decreasing order.\nAnswer: k, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -244, -1 in descending order.\nAnswer: 2, -1, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 - 200?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1728.4 - 1728. What is the nearest to -3 in 2, -0.01, 2\/3, o?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5423 and 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -21676 - -25353. List the prime factors of a.\nAnswer: 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that f**3\/3 - 10616*f**2 + 84503356*f + 1014549904\/3 = 0.\nAnswer: -4, 15926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/(-147)*6*6*9\/(-1728)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 61471 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b + 2*b + 45. Let u(q) = 2*q - 27. Let t(w) = -2*w - 2. Let k(n) = -2*t(n) - u(n). Let i be k(b). Solve 2*j - i = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9?  (a) -0.4  (b) 1\/5  (c) -3  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 285*v + 10 - 2.\nAnswer: -285*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-14)\/63 + 87\/27. Suppose 0 = -p*y + 64 - 58. Calculate the smallest common multiple of 133 and y.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -2*d - 5*x, -2*x + 40 = 28. Let v(g) = 2*g - 1. Let l be v(2). Solve -5*s - m + 28 = d, -4*s + 8 = -3*m - l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from xyxyxxxxxyyxxxxxxx.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-16)*z)**(-2\/7) assuming z is positive.\nAnswer: z**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -297*u = -2*d - 299*u, -12 = -d - 4*u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/3)\/(9\/18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -151164 (base 7) to base 3.\nAnswer: -1111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 380.4 and -0.1.\nAnswer: -38.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23 + 25. Suppose l*m = m - 3. Let o be m\/(-4)*48\/18. Solve -5*a - 5*c = 5, 5*a - 1 = -c - o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, s: 2, j: 7, m: 1, o: 7}. What is prob of sequence mjs?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -643, -2566, -5749, -10174, -15823, -22678?\n\"Answer: 3*r**3 - 648*r**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 826244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 38. Calculate the greatest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -220 - 18\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -328 + 620. Let w = x - 289. Solve -2*r - w*i = i - 10, 4*r + 4*i = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j**3 - 139*j**2 + 1228*j - 756 = 0. Calculate j.\nAnswer: -54, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 24331 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1068b + -4b?\nAnswer: -1071a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*z + 47*z = 10. Solve 2*n - 5*r = 13, -2*n + 3*r = -z - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 169 and 507.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 10:55 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a + 47*a**2 + 36*a**2 + 44*a**2 - 4 - 126*a**2. Give l(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8 - -6) + ((-119)\/126 - -3). Let b(q) be the third derivative of -4*q**2 - 1\/27*q**3 - 1\/30*q**5 + 0*q - v*q**4 + 0. Factor b(o).\nAnswer: -2*(3*o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*g + 123*g - 60*g = -407*g - 13250 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -8*c**4 - 12*c**3 + 76*c**2 - 24*c - 32 = 0.\nAnswer: -4, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 2*m**2 - 8*m - 14. Let b be g(6). Let z be 9 + (-5)\/b*4. Suppose -z*f = -8*f + 8950000. Round f to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 6059592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(240) - sqrt(240)*-2))\/(sqrt(16)\/sqrt(50)))\/(sqrt(6) + sqrt(48)\/(sqrt(32) - sqrt(8)) - sqrt(1920)\/sqrt(5)).\nAnswer: -25*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 653 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: Three letters picked without replacement from ppbpbbbppb. Give prob of picking 2 b and 1 p.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28 - 20 + 163*f - 8 to n*f + j and give n.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 5) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -65383 divided by 1\nAnswer: -65383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1770115 is divided by 4459.\nAnswer: 4351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 v when four letters picked without replacement from phvehphrprpvprvp?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d + d. Let i(p) = -p**2 + 4. Let q be i(d). Suppose 3*s + 76 = 4*o, o + 2*s - 3*s - 20 = 0. Solve -o - q = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xq when two letters picked without replacement from qxqrrx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*c**3 - 470*c**2*u**2 + 11785*c*u**2 wrt c?\nAnswer: -54*c - 940*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4\/(-8))\/((-1)\/200). Let j be 55\/g + 1\/4. Solve j*u**2 + 0*u - 2\/5*u**3 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(-1)*7*-2. Let x = 22 + d. Calculate the remainder when 4\/(-16) + 202\/x is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 200275?\nAnswer: 5, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -139864752*a**3\/5 - 120486888*a**2\/5 - 3897831*a - 176890.\nAnswer: -(3*a + 2)*(6828*a + 665)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 4674*d + 148 = 4678*d, 3*s + 3*d = -105 for s.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of o**3 + 1\/20*o**5 - 5\/12*o**4 - 91*o - 3\/2*o**2 + 0. Give n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + 3. Let r = 9 - k. Find the third derivative of 0*i**3 + 2*i**2 + 20*i**r - 26*i**4 + 0*i**3 wrt i.\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*j - 4*u + 12, -3*u + 320 - 311 = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 157*c**3 + 2*c**2 + 0*c**2 - 161*c**3 - 1. Calculate n(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 8 = -3*b - b, 10*m + 14 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 4*y + 20. Let c be (10\/3)\/((-18)\/27). Let s be m(c). Solve 5*l - 13 - 7 = s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*f**2 + 63*f**2 - f**2 + 83*f**2 as x + y*f + p*f**2 and give p.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100111 + 100111100010000000?\nAnswer: 100111011110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 14103 (base 10) to base 6\nAnswer: 145143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 186592 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of -5\/6*c**3 + 1\/24*c**4 + 7\/60*c**5 + 0 - c**2 + 1\/120*c**6 + 0*c. What is the remainder when z(-5) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 15) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 - 8*y + 6. Suppose -4*d + 4*u = -76, 2*u + 2*u = -5*d + 140. Suppose d = 4*z - 4. Let l be h(z). Sort l, 0, 2 in descending order.\nAnswer: 2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 928168.4g?\nAnswer: 928168400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 9 = -5*m. Suppose 5*n = 2*r - 25, -10 = -m*n + n. Suppose -4*b - 18 = -d - b, -5*d + 2*b + r = 0. Solve 0 = -d*o - 6 + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/3 + (15\/9)\/(-5). Sort r, -1, 2.\nAnswer: -1, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 2\/3, -594, 1.\nAnswer: -594, 0.3, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 - (-3)\/(-2))*(-8)\/66. Let j = 2 + -5.6. Let w = 4 + j. Which is the biggest value?  (a) n  (b) -0.5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -69 and -706.88.\nAnswer: 48774.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the third derivative of 3*m**4\/8 - 3*m**3 + 11*m**2 - 56*m. Calculate n(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2 - 1 + 0)*(-3 + 3 + 1) + 0 - 2 + 3 - 4 + 3 + 2 - 48 - 62 + 9)*(0 - d**2 + 0)*(0*d + d + 0*d) to the form l*d + f*d**3 + b + s*d**2 and give f.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express i**3 + 0 + i - 3 + 4 as b*i**3 + m*i + j + h*i**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/6)\/i**(1\/6))\/(i**(-2\/13)\/(i*i**(-8)*i))*(i**(1\/5))**(29\/4)*(i\/(i*i*i\/(i**(-1\/8)*i)))\/(i*i\/(i*i\/(i**4\/i)*i)) assuming i is positive.\nAnswer: i**(-12253\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7 or 0.052623?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 17, 4, 18, -1, -219, -2\/53, -1\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1\/22, -1\/6, 1895, 9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (8\/16)\/(5\/(-6)). Let p = 1.3 - 1. Which is the smallest value?  (a) p  (b) 2\/11  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -33 - -93. Suppose r = z + 4*z. List the prime factors of z\/18 + 56\/6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1806629 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.138 + 4.322. Let h = f - -0.04. Let g = h + -6.18. What is g rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663616011 to the power of 1\/4, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -63733 + 37?\nAnswer: -63696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*h - 73 - 15 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 2:42 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 11:44 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-3 + (sqrt(882)*2)\/sqrt(6))**2 - (sqrt(192) - (sqrt(192) + -1) - ((sqrt(12) - sqrt(192)) + -1))**2).\nAnswer: -1455 + 324*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 AM and 8:38 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 231, 493, 757, 1023, 1291, 1561, 1833?\n\"Answer: b**2 + 259*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve w**4 + 1392*w**3 + 493806*w**2 + 6360848*w - 98267247 = 0.\nAnswer: -689, -23, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 56\/(-12)*((-216)\/63 - 3). Let f(s) = s**3 + s**2 - s + 4. Let a be f(0). What is the highest common factor of a and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 132*j - 137*j + 1595. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 47856116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -5*p - 39. Determine y(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*v - 10*v + 6*v**2 - 3*v**2)*(-2*v**3 + 0*v**3 + v**3).\nAnswer: -3*v**5 - v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 359 + 354 + 359 + 362 + 341 - 1775 + 8*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 28 + -26 + -1 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*b**3 + 14197*b + 36 - 28406*b + 14213*b to z*b**3 + j*b**2 + l*b + d and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 144706924 to the nearest integer?\nAnswer: 12029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9058127?\nAnswer: 13, 17, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 33\/5 of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 70528882 - 70527798.01162. Let h = -1084 + y. What is h rounded to four decimal places?\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 346 is divided by 343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 20 - (-41376)\/(-920) - -25. What is the nearest to 11 in r, -3\/8, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-370 - 68 + 438 + 18438*z)*((-4 + 5 + 0)*(2 - 3 - 1) - 1 + 1 + 1 - 3 + 1 + 0) in the form s + h*z and give h.\nAnswer: -55314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r - 4. Calculate k(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42734451.\nAnswer: 3, 2423, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 11:04 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-1)*30*(-7)\/(-14070)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2935865\/6 - 488163. Let f = u + -1125. Find the common denominator of f and (1\/(-24))\/((-1)\/146).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 + -5*854\/18. Let c = -233 - i. Which is smaller: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.74 - 2419.\nAnswer: -2418.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 11*v - 16. Let b = 20 - 11. Suppose -2*a + b = a. Which is greater: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + -14 + (1 + 3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 361 + 393 = 0, -14*j - 109 = l. Factor -1\/3*o**4 + 1\/3*o**2 + 0*o + 0 + 1\/3*o**l - 1\/3*o**5.\nAnswer: -o**2*(o - 1)*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h + 40 = -8*h. Let k be 4\/h*(-3 - 26\/(-12)). Which is bigger: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, b: 3}. Give prob of sequence bebb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 0 - (-1 - (-5 + (-11 - -19)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 41.714 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 2:44 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3150 = 106*q - 112*q. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d**2 + 2*d**2 + 27*d**3 - 43*d**3 + 20*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 292 divide 45552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182629 is divided by 674?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.55 + -1.7. Let o = c + -0.85. Let b = 4 - 0. Is o at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, k: 1, l: 5, z: 1, v: 2}. Give prob of picking 2 v, 1 l, and 1 z.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.95 + -0.05. Let v = 32\/69 + -3\/23. Let y = 0.1 + -1.1. What is the closest to v in r, y, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 0*b + b**2 - 4*b + 4*b. Let q(x) = 14*x. Give o(q(n)).\nAnswer: 196*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1755112 * 3\nAnswer: -5265336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 5*z - 724, -3*x - 96*z = -94*z - 709. What is the remainder when x is divided by 69?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25612 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*x + 372 = -25*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -21*l**3 - 4*l**2 - 52*l - 180. What are the prime factors of z(-4)?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 62, 122, 184, 248?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 4, 2, -894, -17, -3 in ascending order.\nAnswer: -894, -17, -3, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - (-4 + 26) - (11 + -5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18699282 is divided by 164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85923185.\nAnswer: 5, 17, 1010861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*y**4 + 5*y**4 + y**4 + (-4*y + 6*y - y)*(4*y**3 - 4*y**3 + 2*y**3) - 5*y**4 + 5*y**4 + 13*y**4 + (3*y**2 + 2*y**2 - y**2)*(0 + 0 - 2*y**2).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 39 + 517. Let w = g - 555.98926. What is w rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 106, 101, 92, 79?\n\"Answer: -2*i**2 + i + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -80, -82, -94, -122, -172, -250, -362, -514?\n\"Answer: -n**3 + n**2 + 2*n - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -20*l**4 - l**3 - 154 + 151 + 11*l**4 wrt l?\nAnswer: -36*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3057840 and 120.\nAnswer: 3057840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-35)\/14)\/((-10)\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 52151267*g**2 + 17414633*g?\nAnswer: 104302534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1230322102 (base 4) to base 12.\nAnswer: -1961aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110000100101100101101011001 + -11?\nAnswer: -110000100101100101101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 71585777017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 180754930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-570)\/108)\/(-19))\/(10\/6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2*c**3 + 2*c**2 - 1. Let g be f(-1). Suppose -3*s = v - 3*v - g, -3 = v - 3*s. Calculate the remainder when 5 is divided by -4*(-25)\/20 + v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 188 + -77. Let v = y - 51. Calculate the highest common divisor of 150 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 + -49 - (-106 - -66).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/5  (b) -2\/17  (c) -5  (d) -326  (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-23045)\/534644*(-16)\/30?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(30\/(-9)))\/((-7)\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4a065906 + -3?\nAnswer: 4a065903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u - 26 + 21 + 15 + u**2 + u**3. Calculate x(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - -1102021212021?\nAnswer: 1102021212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 799 = 45*l - 1856. Suppose l = 2*w + 35. Solve 54 - 18 = -w*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/10 - ((-3)\/5 + (-9)\/10). Sort z, 29, 2, -4 in decreasing order.\nAnswer: 29, 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 - d + 2. Let c(u) = -u**3 - u**2 - 2*u - 6. Let l(g) = c(g) + j(g). Determine l(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4336 - -4345. Let x(k) = 21*k - 8*k + 3*k + 3 - 2. Calculate the remainder when x(2) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.523 and 0.102?\nAnswer: -0.053346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 349529100 rounded to the nearest 1000000?\nAnswer: 350000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 111 divide 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 3*b. Let k(n) be the third derivative of n**5\/30 - n**2. Calculate u(k(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -131*r - 8423 + 8423.\nAnswer: -131*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*u**3 - 461*u**2 - 2*u + 461*u**2)*(0*u - 4*u + 3*u).\nAnswer: -20*u**4 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 329*z**5 + 1213*z.\nAnswer: 6580*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(325) - 1*sqrt(325)) + sqrt(325))**2 + sqrt(325) + 4 + 0)*-5.\nAnswer: -1645 - 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2223, 2233, 2243, 2253, 2263?\nAnswer: 2273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 703840967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17105 divided by 3.\nAnswer: -17105\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 2*y**3 - y**2 + y. Let c be (-10)\/(-15)*2\/((-12)\/(-9)). Let x be s(c). Let m(n) = -n**2 - 3*n**3 - 2 - n**2 + 5*n**3. Give m(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -5*t**3 - 5*t**2 - t. Let d(l) = -l**2 - 33*l + 10. Let r be d(-26). Let i = 197 - r. Let q(v) = -2*v**3 - 3*v**2 - v. Give i*q(u) - 3*s(u).\nAnswer: 5*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 43613 + -43619. Let x(h) = 18*h**2 - 13*h. Let s(l) be the first derivative of -3*l**3 + 3*l**2 + 1. What is y*x(b) - 13*s(b)?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (v - 2*v + 2*v)*(0 - 7 - 1)*(49 - 1 + 70) + (-4 + 1 + 2)*(-2*v + 3*v + 0*v) as i + x*v and give x.\nAnswer: -945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 0*n = 2*n + 150, 65 = g + n. Let m = g + -41. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6163 - 73?\nAnswer: -6246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 490 and 409290.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 754 or 755?\nAnswer: 754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 1. Let b(p) = 3*p + 27. Let w(f) = 9*f + 77. Let o(k) = 17*b(k) - 6*w(k). Calculate o(y) + r(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o + 5. Let d be s(3). Solve d = -3*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 + x + 55. Let k be c(0). Let d be (-2)\/11 + 5015\/k. Suppose 5*s - 3*m - 357 = -d, -4*s + 223 = m. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 18\/491?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 2:23 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*(((y*y\/((y\/y**(-1\/4))\/y))\/y)\/y*y)\/y*y*y)**41\/(y**(2\/3)\/y**7))**(2\/43) assuming y is positive.\nAnswer: y**(1429\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -u + 6. Let w = 8 - 11. Let o = w + 3. Put u, 5, o in descending order.\nAnswer: 5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1033 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 901 + 1220. List the prime factors of c.\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-74)\/(-4) - (-26 + 30) and 346\/24 - (-1)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -4, -21, 14, 41\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyqq when four letters picked without replacement from qyyqy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/3))**43 assuming z is positive.\nAnswer: z**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 32705 divided by 6541?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69 is divided by (13 + 2 - 3)*2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.68 - 2.28. Which is the second smallest value?  (a) j  (b) 0.32  (c) -1  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 350087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of -i**8\/42 + 7*i**5\/60 - 135*i**4\/8 + 3*i**2 + 113*i. Find the second derivative of y(o) wrt o.\nAnswer: -160*o**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 446 is divided by 156?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2262253 and 1.\nAnswer: -2262253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.24872061 rounded to two decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20788, 3, -3, 34, -7.\nAnswer: -7, -3, 3, 34, 20788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(1\/5)*z*z*z*z*z*(z*z**(-2\/3))\/z)\/(z**(-1))**30 assuming z is positive.\nAnswer: z**(533\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2329 divided by -15?\nAnswer: 2329\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16372 and 571509683?\nAnswer: 4093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*k - 51*k = -935410. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -q**2\/3 - 1190710*q\/3 - 354447576025\/3 = 0?\nAnswer: -595355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7 - (5\/((-1840)\/(-3992)) - -3 - 8) and -5\/161.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1  (b) 0.0572  (c) -1.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 36*b**2 - 7*b - 2. Let t(p) = -24*p**2 + 5*p + 1. Let x(z) = 5*m(z) + 7*t(z). Let u be x(-2). Let r = -25 + u. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1370283529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 358 is divided by 73?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -60 + 201. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of -d**4\/4 + 1130*d**3\/3 - 2377*d**2\/2 + 1306. Find the second derivative of a(c) wrt c.\nAnswer: -6*c + 2260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -3*d - 8. Let t(h) = 4*h + 9. Determine -5*g(n) - 4*t(n).\nAnswer: -n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v**5\/3 - 12*v**4 - 70*v**3\/3 + 216*v**2 - 760*v\/3 = 0. Calculate v.\nAnswer: -5, 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 16 = -5*v + b, 0 = -2*v - 4*b + 16. Factor -9*p - 3*p**3 + 10*p + 3*p**v + 5*p + 0*p**2.\nAnswer: -3*p*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 46 = -34. Suppose -389 = -w*u + 287. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of d**2*l**4 - 527*d**2*l**2 + 6*d**2*l + 76*d wrt l?\nAnswer: 12*d**2*l**2 - 1054*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**2 - 24*a - 15*a + 27*a.\nAnswer: -a**2 - 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -8\/16541?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 122 + -38. Suppose 3*x = -2*x + 475. Suppose -5*g + 16 + x = 3*y, w = 3*g - 4*y. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2169956 or -2169931?\nAnswer: -2169931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 9:32 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.6417 greater than or equal to -301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19 + -24. What is the third biggest value in k, -0.3, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6975672.\nAnswer: 2, 3, 11, 26423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3520*p + 3559*p - 117. Solve -76*v = -75*v - 4*o - 7, -4*o = -p*v - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence drii when four letters picked without replacement from ddddddiaidiidhadrii?\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -96, -1\/2, -175 in decreasing order.\nAnswer: -1\/2, -96, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z. Let r(p) = 3*p - 1. Let t(a) = 5*h(a) + r(a). Let s(o) = -o. Determine 3*s(c) - 2*t(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 72, 150, 228, 306?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4625, -6093, -7561?\nAnswer: -9029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 374 divide 246840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5455035 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 6 = -6. Solve 3*f = -l*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t + 1. Let y(w) = -2*w - 2. Let a(q) = -q**3 - 5*q**2 + 3*q - 7. Let f be a(-6). Let m = f + -8. What is m*y(s) + 5*v(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + 4*n - 5*n)*(-4*n - 2 + 6*n + 0*n).\nAnswer: -2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -3*k**2 + 400*k - 3157. What is u(125)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 49255090 rounded to the nearest one hundred thousand?\nAnswer: 49300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5193 = 130*f - 11447. What is the least common multiple of 26 and f?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5\/(-10)*2 + 63 is divided by 188\/12 - 2\/(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 189*w**3 + 117*w**3 + 594*w**3 - w**3.\nAnswer: 899*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6333688 is divided by 2326?\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = 3*n + 20, -11*n + 9*n - 20 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 77 - 372. Let b = h + 294.99999872. What is b rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 34 + 2 + -3 + 0. Let s be c*-1*(-3)\/(-9). Let v = 22 + s. What is the remainder when 31 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 3114 and 3114 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 9*f - 1. Let v(h) = -h**2 - 9*h - 1. Let d be v(-4). Suppose 0 = -9*w + 8*w + d. Suppose 2*n = -5*r - 13, -2*r - r = 4*n + w. Give l(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*q + 2*c + 74 - 262 = 0, 0 = -2*q - 5*c - 43 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p + 5*o = 4*p + 56, 0 = -2*p - 2*o + 32. Let k be 4\/24 + (-3656)\/48. Find the common denominator of -43\/10 and k\/p + 3*-1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1249901267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -12*((-17)\/(-3))\/(-17)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/3 + 2 - 0. Suppose 0 = z*n + 1 - 7. Solve -n*f - 3*f - 16 = -m, 3*f + 11 = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-304)\/(-12)*(-6834)\/(-68)?\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 2*u**2 + 17*u. Let a(f) = -2*f**2 + 5*f**2 - 2*f**2 + 6*f. Let t = -4856 - -4862. Determine t*d(i) - 17*a(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**6*i)\/(i\/(i\/(i**(-7)*i))))\/(i*i**(1\/5))**(-8)*i*i**(-8)*i*i**(-8)*i**(-2\/3)*i*i*i**(5\/2) assuming i is positive.\nAnswer: i**(373\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u**(-1\/4))\/u)**(1\/82))**(2\/11) assuming u is positive.\nAnswer: u**(-1\/1804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 435252302?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 12. Suppose m = -4*f + u + 47201, 4*f - 3*f - 3*u = 11803. What is f rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5.4 - -5. Let l = -1710 - -1709.85. What is the second biggest value in 0.5, z, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 126, 121, 108, 81, 34, -39, -144?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 46131 divided by -5?\nAnswer: -46131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 60301.81 milligrams in micrograms?\nAnswer: 60301810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 - 7. Let f(h) = -2*h**2 + 6*h - 7. Let m be f(k). What are the prime factors of m\/(-6)*2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 155*10\/800*16.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 339 - 32. Suppose -2*n = 0, -2*n + z + 379 = 2*t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38 (base 9) to base 14.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 + 12*t + 1. Give z(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2128390.000175 - 2128416. Let u = 161 + -135. Let t = u + l. Round t to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 + 2*i + 2. Let m(x) = x**2 - 10*x + 12 + 9 - 9*x**2 - 8 + x**3. Let u be m(9). Determine y(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -4*w**2 - 533*w + 91871. Determine s(99).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 - (-12)\/9)*3. Let o be (1 - 2) + (m - -3). What is the nearest to 0.1 in 5, -2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 + ((-8152)\/(-14) - (-4)\/(-14)). What are the prime factors of 1*((-16)\/(-4) - 3)*r?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-93 - (-8349)\/92)*2\/15\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 225 - 201 = 0. Which is bigger: 11 or g?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 6*h**2 + 5*h - 4. Let o be 30\/(-9)*6\/5. Calculate the remainder when z(o) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -167, -1, 0, -0.5, -4, -2.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 91194 and 7494.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s + 10*s - 13*s**3 - 3*s - 3*s.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 - (-1 + (-12)\/(-3)). Suppose -3*q - q = w. Suppose 0 = -q*n - 4*n + 29600. Round n to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 397710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-19))\/x*x*x*x**(-30)*x assuming x is positive.\nAnswer: x**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/((3 + -1)\/(-2)). Let a be 10\/4 - x\/4. Suppose a*p + 18 = 3*p. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 0.03, 2, -2, 0.1, -39?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1537233281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 + -32. Let l = y - -29. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 0*x**2 - 4 - 5*x**2 - 2*x**3 - 11 + 17 - 4*x. Let s be b(-2). Solve 4 = -2*z, 5*k = 5*z + s + 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -4. Let k = w - 1. Let y = k - 2. Is 0.1 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -50*h - 1332. Let w(k) = -13*k + 2. Determine m(o) - 4*w(o).\nAnswer: 2*o - 1340","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (335*q - 3993*q - 131*q - 3524*q)*(-2*q**2 + 0*q + 0*q).\nAnswer: 14626*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/3 - -5)\/2. Suppose 6*u = 3*u + p*o + 21, -3*u + 18 = -o. Sort -4, u, 3 in decreasing order.\nAnswer: u, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 - 4*f**2 - 6*f - 6. What is the tens digit of r(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/(-33)*(-3)\/(-4). Which is the nearest to -0.1?  (a) 2  (b) -5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 14*k + 21. What is y(-20)?\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12*60\/(-144))\/((20\/(-150))\/(6\/(-5)))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1368200 - 2.898343.\nAnswer: -1368202.898343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 8*a - 5. Let p be g(3). Suppose 0 = -4*m + p + 17. Calculate the least common multiple of m and 79.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 and 97.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1623?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -23751158892 take away -6?\nAnswer: -23751158886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, -34, -95, -192, -331, -518, -759, -1060?\nAnswer: -1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 3467.\nAnswer: 2\/3467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 433.3654km in micrometers?\nAnswer: 433365400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4.352 and -51716?\nAnswer: 225068.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2001859 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -5 + 3 - 11*s**2 - 2*s**2. Let k(c) = c**2 + 1. Let r(x) = 4*k(x) + l(x). Let w(a) = -5*a**2 + 1. Give 6*r(z) - 11*w(z).\nAnswer: z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*p**2 + 10*p**2 + 2*p**3 - 4*p**2 to the form k*p + q + t*p**3 + w*p**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {x: 4, k: 2, y: 2, f: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 93578801 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14525 is divided by 5999?\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 19539241?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**6)\/(s\/s**(-6))*(s**(-4\/7)*s*s)\/(s*s**6))\/(s\/(s*s*s**(5\/2))*s**(-2)*s*(s**0)**(-10\/9)) assuming s is positive.\nAnswer: s**(-183\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 820893.9nm in centimeters?\nAnswer: 0.08208939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((18 + -26)\/40)\/((-2)\/161270)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 AM and 6:00 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 357*l**2 + 821*l wrt l.\nAnswer: 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 241041 - 237817 = -62*o for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 17226404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-8)\/(v*v*v\/v**(-1\/12)))\/((v**(2\/87)*v)\/(v\/(v**(9\/2)\/v))) assuming v is positive.\nAnswer: v**(-5083\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 26) + 45 + 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -e - 0?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(525\/(-10))*5\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -142+0.05\nAnswer: -141.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**4 - 44*d**3 + 194*d**2 + 531*d + 285. Let v(u) = -44*u**3 + 194*u**2 + 530*u + 286. Let i(c) = -2*r(c) + 3*v(c). Factor i(n).\nAnswer: 2*(n - 12)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(-1*(-2 - 1) - 1). Suppose 0 = -u*m - 5*m - 0*m. Suppose -4*i + 20 = m, 0 = -4*l + 3*i - 6*i + 359. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -1*sqrt(700) + -4*(sqrt(700) + -1*sqrt(700)) + -2*sqrt(700)*2 + -1 + 0)**2.\nAnswer: 100*sqrt(7) + 17501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-13)*g*g**(-1))\/(g**(-1\/26))**(8\/3))**(1\/23) assuming g is positive.\nAnswer: g**(-503\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + z + 4 = 0. Suppose -g - 5 = -z. Is -3 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*h**4 + 0*h**4 + 4*h**4 + (-21*h**3 + 5*h**3 - 4*h**4 + 3*h**4)*(0 - 4 + 3) to g*h + n*h**2 + q*h**4 + r + j*h**3 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 11*v**2 - 29*v + 223. Is q(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2338, 2340, 2342?\n\"Answer: 2*s + 2336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-31*(-3)\/372)\/(16\/704)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 7502505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 634 + -429. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) 0.5  (c) -2  (d) -2479  (e) 1\/6  (f) -0.516  (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxcc when four letters picked without replacement from {r: 5, y: 1, f: 6, c: 3, x: 2}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -404, -809, -1214, -1619?\n\"Answer: -405*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*g - 385 - 239 = 0. Does 13 divide (1 + -3)\/(1\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 220, -5422, -14826, -27992, -44920, -65610, -90062?\n\"Answer: -1881*m**2 + m + 2100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -475*a**4 + 1660*a**3 - 1895*a**2 + 710*a = 0.\nAnswer: 0, 1, 142\/95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g**2 - 2*g**2 + 449 + 684 - 2*g**3.\nAnswer: -2*g**3 - g**2 + 1133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of 3043*h**7\/105 + 673*h**3 - 5745*h**2. What is the derivative of b(y) wrt y?\nAnswer: 24344*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, k: 1}. Give prob of sequence yy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4963 = 5*x + 2*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p**3 - 2*p - 2. Let w be u(-1). What is the third derivative of n**4 - n**w - 4 + 4 - 7*n**4 wrt n?\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 544475, 1088929, 1633383?\n\"Answer: 544454*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1472791*f**3 + 2*f**2 + f + 65087094 with respect to f.\nAnswer: -4418373*f**2 + 4*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12 + -6 + 12 + -1*1. Let r = x + -18. Put r, -2, 20 in decreasing order.\nAnswer: 20, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 866088 a multiple of 523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 PM and 8:55 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -9737.02 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 16 = 3*m, -245*d + 2*m - 16 = -249*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of -1135*w**4\/2 - 926*w**3\/3 - 6752. What is the third derivative of y(j) wrt j?\nAnswer: -13620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -76*r**2 + 3*r + 6. Let n(v) = 16646*v**2 - 656*v - 1312. Let x(i) = -3*n(i) - 656*s(i). Let t(z) = -4*z. Calculate t(x(f)).\nAnswer: 328*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 2*d + 0*d - 38 = 0, 5*l = 2*d + 74. Suppose -12 = -z + l. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -58*h**2 + 8*h = 0.\nAnswer: 0, 4\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 4 + 1)*(1 + 2 - 2)*(2*a + 1 - 1).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*o + 17*o + 13*o)*(0 + 0 - 1)*(-4 - 3 - 8) + (1 - 1 + 1)*(-10*o + 4*o + 0*o).\nAnswer: 369*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1450 times 637?\nAnswer: -923650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -6919 (base 10) in base 4?\nAnswer: -1230013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-1)\/g*g)\/(g\/(g*g\/(g*g**(-1\/6))*g)))\/(g**0\/(g**(-1\/3)*g)) assuming g is positive.\nAnswer: g**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16, 33, 56, 85, 120, 161, 208?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 404210 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -41 - -40.6. Sort s, 3, -2.\nAnswer: -2, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 + 1 - -9) + (0 - 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -585 + 861.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1465, -2941, -4417, -5893, -7369?\n\"Answer: -1476*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 744431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -31 - -33. Suppose -4*a = -4*l - 24 - 60, -38 = -o*a + l. Calculate the remainder when 49 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2945*v**3*y**3 + 901*v**3*z + 12*v**2*y*z - v*y - 35*y**4*z - 6*y*z wrt y?\nAnswer: -17670*v**3*y - 420*y**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -330 (base 11) in base 6?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - f + 14 = 2*c, 0 = 3*f - 5*c + 19. Let t be -102*(1 - (-70)\/(-60)). Find the third derivative of a**2 - 5*a + t*a**f + 5*a - 3*a**3 wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + l - 40 = 3*l, -4*x + 52 = 3*l. Suppose -x = -2*n - 2*n. Suppose 0*a = n*a - 24. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12\/352633 or 1?\nAnswer: 12\/352633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -532510200 divided by 162?\nAnswer: -3287100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 777108431 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 8 = -7. Suppose -d*v + 117 = -5*b + 3*b, -3*v - 2*b + 83 = 0. Suppose -k = -2*k + v. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-25) + 14\/40?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -130 + -101?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51802?\nAnswer: 2, 59, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of b**3\/3 + 3*b**2 + 2*b - 5. Let p(d) = -d**2 - 3*d - 2. Let s be p(-4). Let w be v(s). Solve -15 = -w*z - z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*u = 21 + 40155. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -592 + 294.8094\nAnswer: -297.1906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*7\/(-126)*4.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (-7 + -2 - 1 - (-52 - -49))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, 11304 in descending order.\nAnswer: 11304, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - (-65)\/(-25)) + 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w - 306 = -474. Let l be (w\/(-3))\/((-50)\/(-75)). Is l < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 - k**2 - k + 3. Let u be y(0). Differentiate 2 - 15*r**3 + 34*r**3 - 6*r**3 - 10*r**u with respect to r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3972597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 - 24*o**2 - 706*o + 16921. Determine h(24).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/14*(-128)\/(-144)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2748, 5501, 8254, 11007?\n\"Answer: 2753*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -38 + 82 - y - 38. Let u be g(-6). Solve -2*p + 6*p + u = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 12*o = -171. Suppose 23*q - o*q = 8068. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -12, 4, 13694.7?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -7*a**2 + a. Let l(x) be the second derivative of x**4\/3 - 124*x. Calculate l(u(s)).\nAnswer: 196*s**4 - 56*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 197 + -368 + (-16 - -95)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n = 775*n - 3810 - 6263 - 9302 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 2*i + 5 = -5*x, 4*i - 4*x = 4. Let y(f) be the second derivative of -4\/5*f**3 - 2*f + 6\/5*f**4 + 1\/5*f**2 + i. Factor y(m).\nAnswer: 2*(6*m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*t = -29642 + 4882. Suppose -2*x + 614 + t = -2*a, 2798 = 3*x + 2*a. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/((-6)\/(-8)))\/((-32)\/208).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -4*y - 31, 2*n + 17 = -5*y - 9. Let f(p) = 0 + 9 + 4*p**2 + 0*p**2 + p**3 - 2*p. What is the remainder when 67 is divided by f(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, -36, 350, 30 in decreasing order.\nAnswer: 350, 30, 4, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 143 + -141. Let s be (-3 - (-9)\/n)*790\/(-15). Round s to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 PM and 7:47 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 49448562359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 134674 from 1869102.\nAnswer: 1734428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 102310613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -85, -82, -83, -94, -121, -170, -247, -358?\n\"Answer: -f**3 + 4*f**2 - 2*f - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(280)\/sqrt(40))\/(sqrt(16)\/(sqrt(4)*-1)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 + 2*l - 3. Does 5 divide j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*s = -42 - 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5199336?\nAnswer: 2, 3, 24071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/6 in -0.8431, -3\/4, 3\/7, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of -x**5\/10 - x**4\/6 - x**3\/3 - x**2\/2 - 94*x. What is j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 2 - 7*i - 3*i + (-2*i + 0*i + 0*i)*(-1 - 2 + 1) - 3*i - i + 6*i)*(-2431 + 27*i + 2431) as n + s*i + q*i**2 and give q.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58 divided by 211439.\nAnswer: -2\/7291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -z + 2*l, 2966*l = 4*z + 2965*l + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -39.4 - -39. What is the biggest value in -0.5, -2, -11, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 35.3 - -4.7. Do s and 3\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9740*l = -9750*l + 21760. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from shspxhss. What is prob of sequence xss?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*i**2*k*p - 5415*i**2*k - 6*i**2 + 4479*i*p**2 + k*p**2 with respect to k.\nAnswer: -2*i**2*p - 5415*i**2 + p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44516*b**3 + 17*b - 17*b - 44515*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 139*k**2. Let u(q) = -215*q**2 - 247*q**2 - 251*q**2 + 754*q**2. Give d(u(x)).\nAnswer: 233659*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3523, 3525, 3527, 3529?\nAnswer: 3531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7407257.\nAnswer: 11, 13, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2260*o**5 + 1539*o**2 wrt o?\nAnswer: 135600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123*c + 7*c = -303*c + 5196 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eei?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42\/(-8)*54\/(-189)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10 - 4271330?\nAnswer: -4271320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 437114.7 years?\nAnswer: 43711.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -13*r - 6. Let i be f(1). Let j(k) = k**2 + 16*k - 41. Calculate j(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, n: 4, x: 2, m: 9}. What is prob of picking 1 x, 1 n, and 1 m?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4929 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2180*l - 228 = -2256*l. Let z(c) be the first derivative of 1\/2*c + 1\/16*c**4 - 39 + 0*c**l - 3\/8*c**2. Let z(y) = 0. Calculate y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 45 and 2950.\nAnswer: 26550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 544 = 33*m - 59*m - 42*m. Let b(f) = f. Let l(x) = -x**2 - 11*x + 11. Let s(v) = 3*b(v) + l(v). Determine s(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 314500 + 298000 = 100*i. Calculate the highest common factor of i and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 397*m - 1 = -396*m, z - 5*m = 17. Solve -2*r + 9 = -s, 4*s + 11 = z*r - 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 8:29 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2662308 by 332.\nAnswer: 8019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23\/((-8372)\/(-42)))\/(3\/4).\nAnswer: 2\/13","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 0*x = -3*x + 12, -s = -4*x + 16. Is s + -2 + (-1762)\/(-6 + 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2621*l = 2646*l + 10 - 60 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-379*n - 194*n + 93*n)*(-3 - 6 - 2).\nAnswer: 5280*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 3*z + 459 = 0, 19*z = 16*z + 15. List the prime factors of h.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**3 + 4*n**3 - n**3)*(-1 + 0 + 0) + 2*n**3 - 3*n**3 - 4*n**3 - 5*n - 20*n**2 + 20*n**2 - n**3 + 11*n**3 + 3*n**3 + 0*n**3.\nAnswer: 7*n**3 - 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*f + 5*q, -f + 3*q = -0*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -n - 76*n**2 + 10 - 10 + 945*n**4 - 53*n**4 wrt n.\nAnswer: 21408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0283 - 7.2917. Let p = y - -7.32000618. Round p to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2183.2874 take away 0.1012827?\nAnswer: -2183.3886827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 3 = 4*t + 7, 4*i - 13 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*t + 28 = -27. Put t, -38, 3, 4 in decreasing order.\nAnswer: 4, 3, t, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 11836 + 90270 = 5*x, -5*b + 20 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -74\/27 in -0.5, 20\/7, 1\/2, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 21  (b) 3  (c) -8\/9  (d) -1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1648 and 36278248.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-3\/2)*k**(-1\/5)*((k**(-6)\/k)\/k)\/(k\/(k\/(k\/(k*k**(-3\/4))))) assuming k is positive.\nAnswer: k**(-209\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 13\/7 - (-2)\/14. Solve -d + 5 = -2*c, -2*c - w*c - 25 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.64 take away -0.094?\nAnswer: -0.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 16093, 19905, 23723, 27547, 31377, 35213, 39055?\n\"Answer: 3*r**2 + 3803*r + 12287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 y, and 1 v when three letters picked without replacement from yyyjyvyyyyyyy?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that m**3\/3 + 151385*m**2\/3 + 302767*m\/3 + 50461 = 0.\nAnswer: -151383, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 59, 142, 269, 440, 655, 914, 1217?\nAnswer: 1564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4b - -1089?\nAnswer: 10d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**2 - 9*v + 1. Let r be t(-9). What is the units digit of (r - (-2 + 0))\/((-3)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o - 4*o - 15801954 = 0. Suppose v + o + 642573 = -y, 2*y = -5*v - 5799975. Round y to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4315 is divided by 1321?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*t - 29970 = 2*t + 6*t. What is the remainder when t is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l and 1 a when four letters picked without replacement from {x: 4, d: 2, l: 4, r: 4, o: 4, a: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((b**(-1\/78)*b)\/b)\/b)**(-1\/6))**1)**(-2\/13) assuming b is positive.\nAnswer: b**(-79\/3042)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of o**3 - 1\/20*o**5 - 1\/3*o**4 - 110*o + 2*o**2 + 0. Determine n(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/5*2)\/(12\/45)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-13) - (1480\/156 + 16\/24).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (-1 - (-7 + 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 4 = -4*w - 6, -2 = -2*l - 5*w. Let a be (3 - 0 - 1)*l. Suppose 5*x = -5*f + 5, x - 15 = -a*x + f. Solve -4*t = 16 + x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*u**3 + 215*u**2 - 12*u - 215*u**2 to s*u + o*u**2 + l + h*u**3 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1510 (base 7) to base 4\nAnswer: 21103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 23316 + -23315.9995479. Round n to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.8 + 0.8. Suppose 4*h + 2*u = 2, -3*u = 2*u - 25. Let f(w) = 7*w + 535. Let t be f(-77). Which is the closest to y?  (a) -2\/11  (b) t  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - 2*k + 26 = 2*z, 5*k - 3*z = 25. Suppose q + 51 = 2*o, 0 = 4*o + 5*q + k - 117. What is the remainder when o is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of b**2*d**3 + 49*b**2*d*z**3 - 10*b*d*z**3 - 7*b - 2*d**3*z**3 wrt b.\nAnswer: 2*d**3 + 98*d*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 3:41 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 + 8. Let n = s + 11. Factor -h + 4*h**2 + 0*h + 5*h**4 - h**5 - h**4 - n*h**3.\nAnswer: -h*(h - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + -3195579661024?\nAnswer: -3195579661012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 13, -5, 5, -48.\nAnswer: -48, -5, -1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9.91 - -9.81. What is the nearest to z in -1\/3, -0.6, 4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 41255 and 185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 17 = 1136*j - 1135*j, 4*j - 79 = -h for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g**3 - 63 - 21*g + 21*g.\nAnswer: g**3 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 6*b**2 - 3*b + 12. Let p(k) = 5*k**2 - 3*k + 11. Give 5*p(c) - 4*x(c).\nAnswer: c**2 - 3*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 18016189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51491 is divided by 10264?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u - 5. Let h be d(10). Let g be 0*(4\/(-6) - -1). Let q be 4 + 0 + g + -1. Solve 4*w + w - 3*v = -1, q*w = h*v + 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -6 - (-208 + 219) - (-31 - -17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(30)\/sqrt(2))\/sqrt(3))**2 - (sqrt(125) + (0 + sqrt(125) - sqrt(125)) - sqrt(125)))*6 + ((2*sqrt(320))**2*-5 - sqrt(5)*-1*-1*-1).\nAnswer: -6370 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of c**5\/60 + c**4\/24 - c**3\/6 + 2*c**2 + 4*c - 128. Give w(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 653, 1424, 2673, 4400?\nAnswer: 6605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -2*q**2 - 29*q + 19. What is f(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + a = -4, -2*o + 5*a + 108 = 148 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -477971 rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 25 = -0. Find the second derivative of -6*s + p*s**2 + 2*s - s wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2593766 and 155036.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(2\/3))**18*(q**0)**43 assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 314 (base 5) to base 13.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -8*l**3 - 14*l**2 + 2*l + 6. What is the tens digit of r(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 57 + -34. What is the tens digit of o + ((-3)\/3 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0699616 minus -0.06?\nAnswer: -0.0099616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5715 by -381.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112)\/(sqrt(28)\/sqrt(4)))\/(sqrt(8) - sqrt(96)\/(sqrt(12) - 2*sqrt(12))).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2*u + 2)*(-220*u**3 + 225*u**3 + 415*u**3) + (0*u - 3*u + 4*u)*(u + u**3 - u) + u**4 - u**4 - 2*u**4 + 3*u**4 - 5*u**4 - u**4.\nAnswer: 836*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r - 6*r + 7*r)*(-3*r - 3*r + 4*r)*(1 - 2 - 4)*(-121 + 36 - 18).\nAnswer: -1030*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(176) + -3*sqrt(176))**2*-3 + -4 + 4.\nAnswer: -2115 - 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -110 - -110. Solve -2*y + l + 11 = -j*y, -5*y + 3*l + 30 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 3 = -2*b, -7*b = -4*j - 11*b - 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 80601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -43, 1\/3, 42, -134, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from dtdmjnjt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 7 - 6 - 3*r + 2 - r**2. Let y be q(-3). Suppose -u = y*u - 36. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32*1*(-3150)\/16800\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 0)*(-b + 4 - 4 + (1 - 1 - 2)*(4 + 2*b - 4) - 2*b + 0*b - 32*b).\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 9:10 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of m**2 + 26*m - 39. Let l be v(-13). Which is the nearest to l?  (a) -4  (b) 0.11  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 31 and 3875.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2\/(-8) - 45\/(-4) and (-8)\/(-14)*14\/4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7676 - 477 = -338*u + 777 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 324*0.2.\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1509 and 5.460113?\nAnswer: 1514.460113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vpz when three letters picked without replacement from {p: 1, v: 2, q: 2, o: 3, a: 4, z: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 3:16 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*m**2*u**2 - 941*m**2*u - 13*m**2 - m - 4543534*u**2 wrt m?\nAnswer: -4*u**2 - 1882*u - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, 1, 3 in descending order.\nAnswer: 21, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 219*n**2*w**2 - 3606*n**2 + 4*w wrt w?\nAnswer: 438*n**2*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 5:08 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -13079, -13054, -12991, -12872, -12679?\n\"Answer: 3*u**3 + u**2 + u - 13084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -2.50374.\nAnswer: 7.51122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**2 + 12*v + 64. Let w be u(15). Let r = 58 - w. What is the remainder when 94 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 5*b + 748, -b = -5*b + 16. Let y = 380 - q. Let t = -83 + y. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 1 + 6 = -5*d, -4*d + 5*t - 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 + 30\/4*4. Suppose 2*d + j = r, 2*d + 3*j = 28 + 3. Let l = -5 + d. Solve -3*i + l = 0, -4*i + 34 = 3*s + 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 3*z - 5*n + 4, 0 = -4*z - 2*n - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-146) - 23229\/(-2117)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 79433.46 years?\nAnswer: 79.43346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/((j*j\/(j**(-4)*j)*j)\/j*j))**(-2)*(j**1)**(-8\/7))**13)**(-26) assuming j is positive.\nAnswer: j**(-20956\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 13*z**2 - 2*z - 1. Let r(l) = l**2 - 45. Let p be r(7). Suppose -c = -p*j + 8 + 9, -8 = -2*j. Determine k(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -32 - -20. Let v be (3 - -1)*(-9)\/d. Suppose -2*p + 7*p - 80 = -5*x, 2*x - v*p - 57 = 0. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5082.059ng in micrograms?\nAnswer: 5.082059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3727815 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 2. Find the second derivative of -14*u**t - 5*u + 2*u**2 + 7*u**2 wrt u.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 164963*t + 1979919*t - 712079*t + 2451327*t.\nAnswer: 3884130*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.49845 rounded to 2 decimal places?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 12904 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 y(h) = 6*h + 7. Let t(o) = -7*o - 8. Suppose 5*f - 7 = 6*a, -f - 4*a - 4 + 21 = 0. What is f*y(r) + 4*t(r)?\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 + 25*f**2 - 28*f - 74. Give b(-26).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*u + 2075 = 425*u + 663 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -472861, -945760, -1418659, -1891558?\nAnswer: -2364457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4264 - -564306?\nAnswer: 601603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 - 6*x. Let a(p) = -p**2 + 7*p. Let r(d) be the second derivative of -d**4\/12 + d**3 - 3*d**2\/2 - 3*d. Let t be r(4). What is t*y(m) + 4*a(m)?\nAnswer: m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of -2*g**2 + 32*g - 13. Let m be n(7). Let i be ((-105)\/(-25) - m)*6. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(-2\/5)\/k*k)\/k**(2\/19))\/(k**(3\/4))**(-1\/8))**(-2) assuming k is positive.\nAnswer: k**(1251\/1520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -145, 4, -2, 7, -5, -166.\nAnswer: -166, -145, -5, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2, -25, -88, -193, -346, -553?\n\"Answer: -d**3 - 12*d**2 + 16*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hpp when three letters picked without replacement from hhppppphphpphp.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2057*0.4\nAnswer: 822.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 12 = -3*u. Let p(z) = -z**2 + 6*z + 15. Let r be p(8). List the prime factors of 16 - r\/u*3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*p - 2841 = 1845. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 34*b**2 - 5 - 15*b**2 - 19*b**2 + 3*b**3 in the form k*b + r*b**2 + s + c*b**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 - 21*c + 40. Let a be (-114)\/4*(5 - (-136)\/(-24)). Let u be l(a). Solve 3 - u = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -8*n + 227. Let k be t(28). Let d be ((k - 2) + -1)*1. Solve d = -4*s, 5*s = -2*o + 3*s - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the third derivative of -1\/1176*z**8 - 1\/140*z**6 + 0*z**4 - 1\/210*z**5 - 1\/245*z**7 + 13*z**2 + 0*z**3 + 0*z + 0. Suppose m(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 371317704.\nAnswer: 2, 3, 23, 599, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**3 - 10 - 7*o + o**3 + 14*o + 7*o**2. Let z be w(8). Let t(i) = -i**3 - 31*i**2 + 104*i + 49. Let u be t(-34). Is z bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/((-357)\/(-710)) - (1 - 7). Is o at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -2. Suppose -16 = -q*j - 4*w, w + 3 = 2*j - 3. Let i be 2\/6 - 11\/(-3). Solve 0 = i*h - d + 9, h + j*d + 6 = 5*d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62429?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 - 4*o**2 + 4*o - 5. Let d be g(-5). Let n be 2 + (0 - -5) + (-10)\/2. Solve d = 3*r - 2*f + 25, 0 = n*f - 8 - 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 25 = -a, -4*l + 15 = 3*a - 82. Suppose -2*g = -g - l. Calculate the remainder when 64 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3 + 1793*b**2 - 800644*b + 3173952.\nAnswer: -(b - 976)*(b - 813)*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.27 - 29.27. Let b = 24.974 + 0.026. Let a = s + b. What is the nearest to 1\/2 in 0, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -31 - -187\/6. Which is the biggest value?  (a) m  (b) -2  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - 112303010?\nAnswer: -112303003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/19  (b) 41  (c) 0.4  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 1025 = -5*t, 0 = 5*t + 4*i - 2*i - 990. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 32 = -13*y, 405*y = 391*y - 3*t - 19 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q - 4 + 4)*(4*q - 3*q + 0*q) + 10*q**2 + 29*q**2 + 31*q**2 - q**2 + 2*q - 2*q.\nAnswer: 67*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*v - 104 = 32 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 710.7196 and 2515.\nAnswer: 3225.7196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.7 + -0.3. Let s = 1.35 - -0.13. Let q = s - 1.5. What is the second smallest value in q, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18471561 is divided by 6157183?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (20\/2)\/((-40)\/(-16)). Solve -3*v - 7 = -i*v - 2*g, 0 = -5*v - 3*g + 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 838488, 838487, 838486, 838485?\nAnswer: 838484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -21*t**2 + 177*t + 522. Determine x(-3).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 93 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 305 = 8*o - 583. Suppose 7*c = 10*c - o. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of k**2\/2 - k + 7. Let h(z) = -4*z + 6. Suppose 2*c - 7 = -3*u, 0 = -4*c + u - 2*u - 1. Calculate c*h(q) - 5*t(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -14*w + 2. Let o be v(0). Solve 2*y + o - 1 = c, 0 = 2*c + 3*y + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 89 - 89.2. Sort -58, 0.3, i, 1\/2.\nAnswer: -58, i, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -222243\nAnswer: -22224.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*k = -29*k - 2. Let u(s) = s**3 + s**2 - 3*s + 1. Let g be u(k). Solve -w + g*c - 15 + 4 = 0, 0 = -2*w + 5*c - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 1630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pxxlxxpxxxxxxx. Give prob of sequence pxx.\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3 greater than 45.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7021, -1, 0.01, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 3*h**2 - 4293*h + 1299780 = 0.\nAnswer: 435, 996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -195 + 1100. Suppose 0 = 5*i + 6*h - h - c, -201 = -i - 5*h. 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: Calculate the greatest common factor of 2169476 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 153555521?\nAnswer: 7, 23, 373, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (123 - 105) + (0 - 18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 778 = 4*k + 5*d, d + 593 = 3*k - 0*d. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 - (18 - (4 - -33))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -66629789 divided by 3\nAnswer: -66629789\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2680366 is divided by 4574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 + (-280)\/(-12))*-9. Let d be (20\/c)\/(24\/(-574)). Let n = d + -22\/9. What is the smallest value in n, -1, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3843 plus -18.84178?\nAnswer: -3861.84178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -861 smaller than -862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g**4 - 2608*g**3 + 614908*g**2 + 2608*g - 614910 = 0 for g.\nAnswer: -1, 1, 309, 995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1785684*t**3 + 10275*t**2 - 45*t.\nAnswer: -10714104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 44*n**2 + 544*n + 192 = 0.\nAnswer: -12, -4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14931, -14917, -14903, -14889?\nAnswer: -14875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 - -7) + -12 + 3 - 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - -4. Let n = t + -2. Differentiate -5 - d + n - 1 with respect to d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -85*y + 83. Determine a(0).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13874229 is divided by 173.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 7, x: 2, u: 5}. Give prob of sequence xu.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9591 in 0, -1\/4, 102, 3, 1?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 5*o**2 - 1345*o + 2924. Determine f(267).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1550\/227 or 6?\nAnswer: 1550\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3730824406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2938 and 2147?\nAnswer: 55822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 156994, 157042, 157090, 157138, 157186, 157234?\n\"Answer: 48*b + 156946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -147*c**5 - 209*c**2 + 812*c + 26.\nAnswer: -2940*c**3 - 418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 + 912*d + d**2 - 2 + 174*d + d**2 - 1 + 1 - 4*d**2 - 3*d**2 + 5*d**2 + (2*d**2 - 2*d + 2*d)*(0 + 0 - 2) + 3*d**2 - 2*d**2 - 3*d**2.\nAnswer: -6*d**2 + 1086*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13439, -13411, -13383, -13355?\nAnswer: -13327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 126865.\nAnswer: 5, 25373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*t - 129 + 17 = 0. Sort 2, -1, t in decreasing order.\nAnswer: t, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2885*f - 2*f**2 - 977*f - 972*f - 3*f**2 + 6*f**2 - 966*f.\nAnswer: f**2 - 30*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 169 divide 19161727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0484 times -24.8?\nAnswer: 1.20032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -319*t - 17 + 101*t + 77*t + 101*t - 2*t**3 to p + u*t**2 + o*t**3 + l*t and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 34 - 116 = 0. Let i = 30 + f. Solve -d + i = 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((0 + 9)\/3)\/1. Suppose 0 = 2*u + 9*c - 5*c - 2, -i*u + 2*c = -35. Let s(n) = 0*n**2 - 11*n**2 + u*n**2. Let t(v) = 11*v**2. Calculate s(t(k)).\nAnswer: -242*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 3*r**3 - 17*r**2 - 5*r + 6. Let b be o(6). Solve 59*x + b = 62*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -43, 6\/5, -1\/3, 1\/1805, 2, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 7 = -2*s, -2*a - 2*s + 16 = 0. Let w(o) be the second derivative of 0 + o + 1\/24*o**4 - 1\/6*o**a - 3\/4*o**2. Solve w(f) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2212 + 3?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 2 = -4*w - p, 3*w + 14 = -4*p. Suppose 0 = 10*u - 19 - 1. Suppose -u*a + w = -a. Solve a*d - 6*d - 13 = -n, n - 1 = -2*d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20 + -14. Let d(z) = z**2 + b - 1 - z - 7*z - 3. Determine d(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1, -3, 5 in ascending order.\nAnswer: -3, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/8  (b) 18\/11  (c) -3\/2  (d) 0  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v + 156. Let r be a(0). Let t = 158 - r. Solve -36 = -t*y - 2*y - 4*i, -3*y = -3*i + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34353 is divided by 69.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2*b = 8, -5*b - 26 = 2*s + 35. What are the prime factors of (s\/15)\/(2\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, t: 1, z: 3, o: 3, n: 2, h: 3}. What is prob of sequence hzzt?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 AM and 11:58 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + v = -687, 84 + 255 = 2*t + v. Calculate the highest common divisor of 1140 and t.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 - 2. Let p(z) = 9*z**3 + 2*z - 10. Let i(a) = -13*a**3 - 3*a + 15. Let g(l) = -5*i(l) - 7*p(l). What is -2*g(c) + 5*j(c)?\nAnswer: c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, w: 2, y: 10, i: 4}. Give prob of sequence ww.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(24016\/12027 - (-2)\/(-1)). Suppose -17*t + 23*t - c = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 0.4  (b) 1\/3  (c) 2\/13  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -20*z**2 + 107*z - 21. Calculate h(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 318 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 + 6*v - 1. Suppose 0*q = 5*q - 60. Let n = q - 18. Give d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-25 + 10 - 32)*(-6 + 4 + 7)*(-54*f + 54*f + 7*f**3) as z*f**3 + n*f + o*f**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -4 + (sqrt(252) + 2 + 0 + -3)**2.\nAnswer: -12*sqrt(7) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 147*z**3 + 226*z**2 - 3. Let u(t) = -734*t**3 - 1130*t**2 + 16. Let m(r) = -16*c(r) - 3*u(r). What is the third derivative of m(f) wrt f?\nAnswer: -900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/4  (b) -111  (c) 1\/2  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 544838 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 591201*r + 2138444 wrt r?\nAnswer: 591201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16107570389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + -1481?\nAnswer: -1479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 18344797169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(300) - sqrt(300)*2*3)\/sqrt(12))\/(sqrt(20)\/(sqrt(4) - sqrt(256)*-1)))**2*-2.\nAnswer: -20250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6265554707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5d13 - -10?\nAnswer: 5d23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.3  (b) 2\/15  (c) 492\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 14) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -15*m. Let x(a) = 59*a. Determine -18*q(n) - 4*x(n).\nAnswer: 34*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 223 + 149?\nAnswer: 36c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -160 - -106. Let j = -57 - l. Let u be (-148)\/3*((-9)\/j + -1503). Round u to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/24)\/((-8)\/96).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 134855 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 d when four letters picked without replacement from hhddhdhhdhhdhh.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m**2 - 3*m**3 + 4*m**2 - 3*m + 4*m + 1 + 2*m**3. Let n be j(2). Suppose -5*z = 6*z + 44. Put z, n, -2 in descending order.\nAnswer: n, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.805 * 9438.\nAnswer: -7597.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*r**4\/5 - 14*r**3\/5 - 2*r**2 + 14*r\/5 + 12\/5 = 0. Calculate r.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, p: 5}. Give prob of sequence mp.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -55 - -57. Let l = 9 + -8.6. Let p = 0.5 - l. Which is the nearest to 0?  (a) 0.3  (b) r  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 - 6) + 2 - 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*s - 0*v + 2*v, -40 = -4*s - 3*v. Suppose 14 = 14*t - s*t. Solve 8*a - 3*a - 15 = -t*x, 4*a = 2*x - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1028, -2135, -3264, -4421, -5612, -6843?\n\"Answer: -t**3 - 5*t**2 - 1085*t + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*m + 83379 - 82239 = 0 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 92088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 - 5*x**2 + 3. Let u be q(5). Suppose -2*l = -11 - u. Let a be (7 + 506\/(-77))*(-1)\/3. Put a, -4, l in descending order.\nAnswer: l, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 2 = -4. Let x be 3\/15 - m\/10. Is 6\/((-1)\/(-3) - x) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-168)\/54)\/(14\/63*-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 46 and 16?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4212)*-2*-6 + sqrt(4212) + sqrt(4212)*1*-3)\/((-2*sqrt(196) + sqrt(16)\/sqrt(4)*5)*1).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112161518?\nAnswer: 2, 7, 1697, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5992, 6258, 6520, 6778?\n\"Answer: -2*z**2 + 272*z + 5722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 176*g + 255. Let h(i) = -352*i - 509. Let s(j) = -3*h(j) - 7*w(j). What is the derivative of s(m) wrt m?\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11048.\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-3\/7)\/l)\/l)**(-32)*l\/(l\/(l\/(((l\/((l**(1\/3)*l)\/l)*l)\/l)\/l)))*l*l**(-4)*l assuming l is positive.\nAnswer: l**(1618\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1645041489 to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4634 and -2.\nAnswer: -0.9268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 + a - 1. Let t = 2105 + -2100. Let w(k) = -6*k**2 - 3*k + 8. Calculate t*l(f) + w(f).\nAnswer: -f**2 + 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from dcbbdbbdfbdodddkddd.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6874 and 11.\nAnswer: 75614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1754.779 + -0.221. Let l = n + 1754.99998386. Round l to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 36471*k**6 + 11*k**2 + 6*k - 3 wrt k?\nAnswer: 4376520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -168932, -168158, -166862, -165038, -162680, -159782?\n\"Answer: t**3 + 255*t**2 + 2*t - 169190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mcyt when four letters picked without replacement from {t: 1, m: 1, y: 1, d: 1, c: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 - (8\/4 - -3). Let d(k) = -k**2 - 3*k - 3. Give d(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 0*x - 362 = 3*y, 0 = -3*x - y + 220. Calculate the remainder when x is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 2:15 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 31, -6, -4, -1 in descending order.\nAnswer: 31, 0.1, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhwhwwhawhnedwn. Give prob of sequence de.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -28.91 times -0.04\nAnswer: 1.1564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 15*i + 18. Give u(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -206 + 195. Which is greater: w or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-21)\/45*-5*-3 + 9. Solve 5*p + 10 = a*p + 4*b, 0 = -p - 3*b + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.184 - 87.184. Let w = g + 153. Let k = 65.9999785 - w. What is k rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -165*l + 10071. Calculate m(61).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.7 + 0.3. Let h = -8.33 - -35.33. What is the nearest to h in -3\/7, 1\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1143 + 1150. What is the third biggest value in k, -3, 1, -3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1926 - -1929. Which is the nearest to x?  (a) -0.04  (b) -1  (c) 0  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-50)\/70 - 8\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-1\/3)\/(q\/q**(1\/7)*q)*((q\/q**(-1\/2))\/q)**(-31) assuming q is positive.\nAnswer: q**(-743\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 60899.06 millimeters?\nAnswer: 60.89906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from effeefeeeeefeeefee.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (52\/(-144))\/(63\/(-12)) and 61\/567.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -333*j**2 + 334*j**2 - 9130 - j + 9129. Let o(b) = 20*b**2 - 6*b - 3. Calculate -4*h(i) + o(i).\nAnswer: 16*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -28 - -20. Let i(c) = -5*c**3 - 3*c**2 + 2*c + 8. Let g(s) = 2*s**3 + s**2 - s - 3. Calculate f*g(r) - 3*i(r).\nAnswer: -r**3 + r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + -150?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*s + 108 = 8*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1192278163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 at most -25\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 14*t - 2 = 16*t, 11 = -5*o - 2*t. Put -72, -1, 4, o in descending order.\nAnswer: 4, -1, o, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2070322305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5111 + -4992. Calculate the remainder when 235 is divided by r.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 61, 359, 897, 1693, 2765, 4131, 5809?\n\"Answer: 3*n**3 + 102*n**2 - 29*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p + 9. Let t be (-4)\/((-8)\/(-14)) - -1. Let g be y(t). Let l be ((-2)\/(-3))\/(1\/g). Solve f - r = -3, 2*f - 3*r = -l*f - 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 12 + 5*y + (2*y + y - y)*(-5 + 4 + 0) + 0 + 0 + 2*y)*((-2*y - 2*y + y)*(-1 + 0 - 1) + y - 6*y + 4*y).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -23.7 - -24. Let h = 0.055 + 5.545. Let z = -6 + h. Put z, 0.02, u in increasing order.\nAnswer: z, 0.02, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + 4*v - 588. Suppose -3*n - 29 = -35. Suppose -2*c + 45 + 29 = -w, n*c = -4*w + v. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-6)\/(-8)*-4 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 11 = 3*u, -35 = 5*u + 2*t - 8. Let w = -1.2 + 1. Which is the second biggest value?  (a) 4  (b) w  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1286112 divided by 53588.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*p + 18*p - 18 = 0. Suppose -2*i = -p*i + 224. What is the first derivative of -22*j + 1 - 29*j + i*j wrt j?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 30*c**2 + 330*c. Let g be w(-11). Put -1, -5, g, 39 in increasing order.\nAnswer: -5, -1, g, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -278 = 4*l - 22. Let s = -706\/11 - l. Is s < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1047389\/969 at least -1080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-4)\/v)\/v**1)\/((v*v*(v**(-1)\/v)\/v*v*v)\/v)**(-5) assuming v is positive.\nAnswer: v**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -2*z - 11. Let n be a(-7). Find the third derivative of g**2 - 16*g**2 + 4*g**3 - 4*g**n - g**6 wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from {a: 1, b: 2, d: 3, c: 4, q: 1, w: 7}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (144\/64)\/(69\/644).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1503*p - 117586 = 1675*p for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.2 + 9.2. Let x = c - 9. What is the nearest to x in -0.5, 2, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15+-38870996\nAnswer: -38871011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1175295.\nAnswer: 3, 5, 11, 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -440 - -450. Solve -1 = p*y - 9*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.0768 from -1.4.\nAnswer: -1.3232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence boy when three letters picked without replacement from nonnnoynvuvbovuvu?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.025, -17, -1.8, 2\/15?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (28 - 77 + 25)*(3 - 3 + 2)*(4*a**4 - 6*a**4 + 22*a**4) + 1 - 2 - a**4 + 0*a**4 to t*a**2 + u*a**3 + q*a**4 + i*a + l and give q.\nAnswer: -961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -q**5\/2 - 25*q**4 + 379*q**3 + 428*q**2 - 757*q\/2 - 403 = 0?\nAnswer: -62, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1632\/(-448)*(-8)\/(-2)*((-20)\/12)\/(-5).\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*i**5\/3 + 368*i**4 + 510*i**3 + 436*i**2\/3 = 0 for i.\nAnswer: -109, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 115*t + 118. Is 61 a factor of y(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-2\/23))**(-37\/4)*(k*(k**20\/k)\/k)**(2\/57) assuming k is positive.\nAnswer: k**(-2591\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28 - (32 + -61 + -31).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 310 - -71. Suppose z*f - 234 = 375*f. Solve 7*h - f + 4 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 9 = d + 2*y, -4*d + 5*y + 14 = 0. Let g(m) be the first derivative of 1\/3*m**2 + 0*m - d + 1\/9*m**3. Factor g(v).\nAnswer: v*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * -1722756.66\nAnswer: 689102.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -117 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u**3 - u**2 - 2. Let g(l) = 6*l**3 + 3*l**2 + 6. Let o(a) = 4 - 20 - 1 - 2*a - 14 + a**2. Let b be o(-5). Give b*g(z) + 11*d(z).\nAnswer: 2*z**3 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -95, -107, -119, -131?\n\"Answer: -12*w - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-58 - -29 - -25) + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 + -7. Let s = x + -3. Suppose -r + 5*k + 12 = 0, s = r + k + 3*k + 6. Solve 0 = d - 2 - r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of -y**5\/12 - 1285*y**4\/24 + 215*y**3 - 2149*y**2. Suppose g(t) = 0. What is t?\nAnswer: -258, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/3088 and -89\/7720?\nAnswer: 15440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.35 in -2\/11, -0.3, -0.03, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 43*r**2 + 179*r + 14. Let n(a) = -33*a**2 - 134*a - 11. Determine 9*n(u) + 7*v(u).\nAnswer: 4*u**2 + 47*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - (1 + -14 + (-59 - -23 - -43))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 20733, 165849, 559723, 1326735, 2591265, 4477693, 7110399, 10613763?\n\"Answer: 20730*v**3 - v**2 + 9*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17 - 19)*(56\/(-12) + 5)*15\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 304145607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1598562, 3197117, 4795668, 6394215, 7992758, 9591297?\nAnswer: 11189832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-708)\/(-28) + 6\/(-21). Suppose d + 5*w = 9 - l, 2*d - 4 = 2*w. Which is the closest to -0.1?  (a) 0  (b) -5  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3065005 times 0.33\nAnswer: 1011451.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 3, 74, -81, -2, 144 in descending order.\nAnswer: 144, 74, 17, 3, -2, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + -51b96?\nAnswer: -51b92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6b218 - -26?\nAnswer: 6b240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 25959, 51943, 77929, 103917, 129907?\n\"Answer: q**2 + 25981*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of 0*l**3 + 1\/60*l**5 + 0*l + 0*l**4 + 0*l**6 + 1\/336*l**8 + 0 + 0*l**7 - l**2. What is the third derivative of u(d) wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 + 3*q. Let c be j(3). Let i be (0 + c)\/(4 + (-49)\/7). Suppose 0 = -3*d + 5*d + 10. Sort i, d, 4 in descending order.\nAnswer: 4, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 317465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3743147 is divided by 2139?\nAnswer: 2036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 212 - 102 - 110 - 10*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-140))\/((-2)\/(-10)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 764*j**3 - 1532*j**2 - 2284*j + 12 = 0. Calculate j.\nAnswer: -1, 1\/191, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(64) + sqrt(64) + (sqrt(64)*5 + sqrt(64) + sqrt(64) - sqrt(64))*-4 + sqrt(64))\/(3*sqrt(200) + sqrt(2)))**2.\nAnswer: 14112\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 86*b**2 + 13322*b - 1270. What is r(-155)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000003158 to seven dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 10*m - 10. Let y be 2\/(-6)*(-3 + 4)*-3. Let d be q(y). Do -14\/15 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 152783856?\nAnswer: 2, 3, 317, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2689*u + 2567*u + 2198*u + 2232*u + 1845*u)*(4*u + 2*u - 3*u).\nAnswer: 18459*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 524144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 158?  (a) -4  (b) 2\/7  (c) 0.075  (d) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 196833 is divided by 319?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4*5*2\/105. Let q = -43\/168 - j. Let w = 0.2 + -0.3. Which is the third biggest value?  (a) w  (b) q  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 5*t - 25 = -5*i, -3*i + 14 = 2*t. Let u(c) = -i*c**2 - c + 2*c**2 + c. Let h(z) = 2*z. What is u(h(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 - 9*b**2 - 3*b - 12. Is 5 a factor of k(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16147343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 295*o + 11. Let c(x) = 28*x + 1. Let w(s) = -12*c(s) + z(s). What is w(1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - 4. Let s = v + 1. Let u = 23\/3 - 7. Does u = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (12\/(-10))\/((-2)\/5). Let q = -26 - -72. Suppose 0 = n*p + 10 - q. Solve 0 = 3*w + w - p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9565, 1, -2, -3, -5 in decreasing order.\nAnswer: 9565, 1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 u, and 2 t when four letters picked without replacement from tujtjuxjtxutjxuu.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 - 2*q. Let z be s(4). Find the third derivative of 10*b**6 + 12*b**2 + z*b**6 + 0*b**6 + 6*b**6 wrt b.\nAnswer: 2880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g + 0*g + 4*g + (-3 + 3 + g)*(-2 + 2 - 6) - g + 2*g + 0*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nrrrrzddnsd. What is prob of picking 1 s, 1 n, and 1 z?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + 2\/(-4 - -2). Suppose x = 4*v - 7. Suppose 4*z = -4*g - 4240, -z - 3*g - v*g = 1060. What is z rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 1452 = -686*v + 685*v, -5*v + 1123 = 3*j. Suppose 4*g + 150 = 5*s, -g = 3*s + 2*s - 125. Calculate the remainder when j is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 196*j**2 + 29*j + 225497 wrt j?\nAnswer: 392*j + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 49*r**2 + r + 1. Suppose 5*h + 14 = p, 0 = 2*p + 3*h - 0*h + 11. Let v be z(p). Suppose -3*m - 7 = -v. What is the remainder when 25 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1231*y**5 - 42951*y + 85917*y - 42954*y wrt y?\nAnswer: -24620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 43203 by 4.\nAnswer: 43203\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 385\/25 + (-2)\/5. Let y be 5\/q*(-10 + 1). Put 1, y, 5 in ascending order.\nAnswer: y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*g**3*m + 613*g**2*m**3 - 2*g**2*m + 860*g*m - 3*m**3 wrt g.\nAnswer: -18*g*m + 1226*m**3 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 3*s**5 - 12*s**3 + 3*s**2 + 9*s. Let i(h) = h**4 - h**3 + h. Let g(x) = -3*i(x) + v(x). Determine r so that g(r) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 913 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/10  (b) -69116  (c) -8.71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 404032 and 161.\nAnswer: 65049152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -2*w**3 - 768*w**2 - 29782*w + 246792 = 0.\nAnswer: -339, -52, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 6706680767.\nAnswer: -6706680762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8187 is divided by 2045.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -239, -213, -161, -77, 45, 211, 427?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -11*u - 226. Let m be l(11). Let o be (97 + 5)\/((-6)\/(-32)). Let v = o + m. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 - -11. Let n = 5 + i. Suppose 3*o - 42 = 30. What is the greatest common divisor of o and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*g - 20 + 20.\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 + 120 = 8*y. Solve j + 1 = -2*i + y, -2*j + 18 = 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 173396*f + 162 = 173342*f. Let w = -1 + 5. Sort w, 0, f, -0.2.\nAnswer: f, -0.2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.477 + 0.477. Sort n, 19, 2\/13 in decreasing order.\nAnswer: 19, 2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -55 + 56. Let d be 3\/8*(-4 - (-2 + 0)). What is the fourth smallest value in z, -2, -3\/5, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1128590 is divided by 163.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 35.7.\nAnswer: 71.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -10 - 3 - -18 - 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33 + 60. What is the remainder when 102\/5*(-25)\/(-10) is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 105 - 77. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*y + 402 + 432. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 3*q - 52. Let r be h(11). Let i(l) = -l**3 - 19*l**2 - 4*l - 51. Is i(r) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -2*z**2\/11 - 21395606*z - 235351664\/11 = 0.\nAnswer: -117675832, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8537?\nAnswer: 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) + (sqrt(88) + 1*sqrt(88))*1 + sqrt(88))) + sqrt(88))\/sqrt(8).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15050 and 60675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 6. Let f(h) = -h**2 + 6*h - 4. Let p be f(o). Suppose -p*i + 2*s = -2, -1 = 4*i - 0*i + s. Solve 3*t + 5*r = i, 4*t = -0*t + 5*r - 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110 (base 3) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 5*s = 215, 2*s - 282 = -4*x - 0*s. Let t = 1700 - 1664. Calculate the remainder when x is divided by t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 441159893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2*(4 - 12\/4). Which is bigger: -15\/14 or g?\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 - 4*p - 2. Let q be m(-3). Let f(d) = 8*d**2 - d + 1. Let h be f(q). Suppose h = 5*n - 12. Calculate the least common multiple of 10 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-4)*(6\/10)\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4110228 by -11049.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 251211 divided by 83737?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -163, 35 in descending order.\nAnswer: 35, 3, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -11*j - 63. Give f(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -2) + 1 + (1 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 79866 and 2550?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 30408196289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 23747743 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 97872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -10 + 2659?\nAnswer: 2649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 41879 * -0.61\nAnswer: -25546.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of -l**5\/20 + l**4\/6 - l**3 - 1457*l**2. Let o(p) = 3*p**2 - 3*p + 5. Give -6*o(t) - 5*r(t).\nAnswer: -3*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -3182*v**2. Let o(g) = -5*g. Determine f(o(x)).\nAnswer: -79550*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11639 - 2980 = 4*f + y, 2*f = -2*y + 4322. Let v be 2 + f\/(-1392) + (-3)\/8. What is the closest to 1 in 2\/3, v, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/344 and -38\/3827?\nAnswer: 30616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -688.214 plus 1032?\nAnswer: 343.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((13 - 74) + 12 - -13) + -45?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -5*g**3 + 18*g**2 - 1404*g + 4183. Determine w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2350 (base 8) in base 7?\nAnswer: -3443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (60\/24)\/((-5)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -9*d**3 - 2*d + 9. Let x(a) = -45*a**3 - 11*a + 46. Calculate 11*p(q) - 2*x(q).\nAnswer: -9*q**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 299042*a - a**2 - 99659*a - 99670*a - 99676*a.\nAnswer: -a**2 + 37*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 69*t + 1209. Determine o(-17).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001691836 to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -24\/8029?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50 + 12 - 10 = 4*y, -2*f + y + 14 = -0*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - p + 4)*(-2*p + 2*p + 2*p**2) + 3*p**3 + 0*p**3 - 2*p**3 + (-4*p + p + p)*(-36 + 36 - 9*p**2).\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 953*f + 4802. Let m(r) = 3*r**2 - 7*r + 4. What is the remainder when o(-5) is divided by m(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-14 - 14) - (-8 - 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2\/91 and 48\/1853293.\nAnswer: 12973051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4199*f - 2290*f - 542*f to c + d*f and give d.\nAnswer: -7031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -4\/175 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2434*m**2 - 2511896*m\/3 + 2752\/3.\nAnswer: 2*(m - 344)*(3651*m - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of -p**6\/360 - p**5\/15 - p**4\/3 + p**3 + 3*p. Let f(u) be the second derivative of y(u). Determine f(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of -j**8\/20160 - j**5\/30 + 3*j**2. Let t(u) be the third derivative of l(u). Let t(h) = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2*g. Let h = -1 + -12. Let r(b) = b. Determine h*r(l) - 6*p(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -4958, -4860, -4766, -4676, -4590, -4508, -4430?\n\"Answer: -2*p**2 + 104*p - 5060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k - 1. Let q be s(3). Let u(y) be the second derivative of -y**5\/20 + y**4 - 5*y**3\/3 - 5*y**2 + 3*y - 13. Let n be u(11). Solve -l + n = -q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 0*b - 2 = 0. Let r = b - -3. Suppose -x + 1 = 3*v, r*x - 2*v - 20 = 2*v. Solve a + x*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 75 divided by -25.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -89 times -0.0451308?\nAnswer: 4.0166412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 155765 - -1506?\nAnswer: 157473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) -3\/7  (c) -3  (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*k - 105*k = 40*k + 1972 - 9852 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - 20940\/(-1050) - 29)\/((-24)\/(-21)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -131 - -134. Suppose -414 = -s - v*q + 139, -2*s + 1094 = 2*q. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/5, 3, -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 796686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 163\/11946 and -191\/38346?\nAnswer: 6940626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 932241, 932170, 932099, 932028, 931957?\n\"Answer: -71*m + 932312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2765749391 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 PM and 9:06 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3701?\nAnswer: 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 4*z + z + 0*z + 7*z. Let f(i) = -7*i - 8. Let w(r) = -27*r - 30. Let x(c) = -15*f(c) + 4*w(c). Give m(x(d)).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes before 11:47 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11643391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -103214, -3, -55\/12, 1.\nAnswer: -103214, -55\/12, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 697 is divided by 441?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -6*s + 0*s**2 - 2 + 6*s + 9*s**2. What is the units digit of n(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.2782 + 0.0967\nAnswer: 1.3749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(234))\/(-2*sqrt(242))*2.\nAnswer: -3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q*q\/((q**(-7\/5)\/q*q)\/q)))\/q)\/q**(-8)*q**4*q**(1\/10))**20 assuming q is positive.\nAnswer: q**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2024 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.280729 weeks to milliseconds.\nAnswer: 774584899.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t - 1. Let r(a) = a**2 + 5*a - 10. Let s be r(-7). Let o be m(s). Suppose -o*h + 106 = -h. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, 93, 181, 269, 357?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 244285839 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1*((-22)\/165)\/(1\/(-3))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:55 PM and 8:50 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 - 21*o**2 - o + 27. Let r(p) = -p + 3. Let f be r(0). Let x = 7 - f. Calculate the lowest common multiple of v(21) and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 divided by -325846?\nAnswer: -583\/325846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 + -2 + 2)*4. Let k = -214 - -217. Suppose 0 = 19*j - 24*j + p + 96, 0 = 3*j - k*p - 48. What is the highest common divisor of t and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 326937 is divided by 46702.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of -j**4 - 383*j**3\/3 + 3*j**2\/2 - 522*j - 2493. Find the second derivative of i(d) wrt d.\nAnswer: -24*d - 766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**2 + 4*n**2 - 5*n**2)*(4 - 5 + 2)*(1 - 5 - 1).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_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: Is 48165993131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 1\/10  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(1\/5))**(-1\/8)\/(x**(3\/8)\/x**4)*(x**(-12)\/(x*(((x\/(x*x**(-13))*x)\/x)\/x)\/x*x*x))**(-2\/139) assuming x is positive.\nAnswer: x**(21401\/5560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*h + 3232944 = 118*h. Is h a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29290234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4922198695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.4055666 to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**2\/q)\/q*q\/(q*q\/((q\/(q\/((q*(q\/(q**(1\/3)*q))\/q)\/q)))\/q*q)*q))\/(q**(1\/3)*q)**44)**(-12\/17) assuming q is positive.\nAnswer: q**(744\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/219 or 0.0308?\nAnswer: 0.0308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -22, -1\/5, -3, -0.3, 61, -2, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 288 - 164. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -d43 (base 16) to base 5.\nAnswer: -102040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-10) - ((-12)\/(-30))\/((-23)\/(-276)). Let k(t) = 6*t**3 + 17*t**2 + t + 5. Let j(y) = 9*y**3 + 25*y**2 + y + 7. Give m*j(c) + 7*k(c).\nAnswer: -3*c**3 - 6*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1109 a factor of 61629348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f + 610 + 190 = 0. Let k = 6 - 2. Let y be ((-42)\/k)\/((-1)\/f). Round y to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -5*h**2 + 6*h - 9. Let w be v(-7). Let a be w\/(-10)*(-10)\/(-2). Suppose 4*p - a = -0*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7443375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(18\/(-4))*(-7231)\/332626*4\/6?\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 795 by -5.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that p**2\/5 + 559*p\/5 = 0.\nAnswer: -559, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 95?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1))**19*(s**(1\/2))**(2\/41))\/((s**(-1\/4))**(-8)\/(s**(-4)*s*s\/s**(-1\/11))) assuming s is positive.\nAnswer: s**(-10321\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + (-5 + (-7 - (0 + -24)) - 10).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 - 3*r + 4. Let b(n) = n**2 + 94*n - 13. Calculate b(m) + 3*y(m).\nAnswer: -2*m**2 + 85*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6 + 4)*2\/4. Let f = -2 + 41. Find the second derivative of f*h**d + 88 - 88 - 43*h wrt h.\nAnswer: 780*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2871 is divided by 260.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.7*-32237883\nAnswer: 22566518.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 65 + -584\/9. What is the closest to 0.2 in f, 1.1, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 64 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -15 in 1\/2, 1\/6, 45, -15, 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 151\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 935.\nAnswer: 2\/935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16.08 + 16. Let o = p + -0.02. What is the closest to 0 in 1, 2\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k - 3*k**3 + k)*((-5 + 0 + 3)*(-4 + 2 + 1) - 2928 + 1400 - 2264).\nAnswer: 11370*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 37 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 350780338?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 21\/(((-1)\/6)\/((-2)\/4)). Suppose 5*f - 68 = 142. Calculate the greatest common divisor of q and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w**2 - 3*w**2 + 2*w**3)*(1 - 1 - 2*w) + 391*w**4 + 46*w - 86*w + 42*w.\nAnswer: 387*w**4 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -100101001000100111 (base 2) to base 16\nAnswer: -25227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 223074631469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (10*2\/45)\/(8\/36). Suppose -3*z + 818 = -f*z. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -332  (b) 6\/11  (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 175 - 3172*x - 89 - 86 to m + f*x and give f.\nAnswer: -3172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.75  (b) 2\/13  (c) -0.033  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 + -8. Is 33\/5 - 6\/s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 378 + -136. Let k = -523 + u. Let r = k - -280.99999117. What is r rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -977 smaller than -977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 14289999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -159*f**2 + 493*f**2 + 22*f**3 - 146*f**2 - 107*f**3 - 188*f**2.\nAnswer: -85*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 235623333 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/1 - -1*5. Suppose 10 = y + 5*x, -2*x - 40 = 5*y - p*x. Let q(h) be the first derivative of -h**3\/3 - 5*h**2\/2 + h - 30. Calculate q(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 3 = -4*z - 2*k, -5*k - 7 = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**2 + 27*m + 62. Does 43 divide u(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-two fifths of a hour in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = -3*t + 324 - 325, 0 = 5*t + w - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1553 + 2975\/2. Suppose -152*o + 1980 = -182*o. Is b <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -638 (base 15) in base 7?\nAnswer: -4043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-three quarters of a tonne in kilograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1333 by -6.\nAnswer: 1333\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1798 + 1351. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + -2 + (-22514617)\/(-1). Let o = 15314614 - n. Round o to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 q, and 1 h when three letters picked without replacement from hxqoq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q + 3. Let z(v) = -2*v**2 + 4*v - 18. Determine -5*h(x) - z(x).\nAnswer: 2*x**2 + 6*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -4*w**3 - 6*w**2 - 2*w - 5. Let b(m) be the first derivative of -11*m**4\/4 - 17*m**3\/3 - 3*m**2 - 14*m + 444. Give -6*b(k) + 17*g(k).\nAnswer: -2*k**3 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4891 + 2*x - 9920 + 4739.\nAnswer: 2*x - 290","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6.745 - 0.255. Let t = 3 + a. What is the second smallest value in t, 2\/7, 4\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2062738?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*q**4 + 9146*q**3*r - 466751*q**2 - 2*r wrt q.\nAnswer: -168*q + 54876*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 - 2 = 5*g. Suppose 1 = q - g. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/(-5))\/((-14)\/35). Suppose -n*k + 9*k = 21. Suppose -4*t + 86999991 = t - k*w, 3*t = -4*w + 52200012. What is t rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 14*v - 2. Let d(c) = c - 3. Let x be d(2). Let t be s(x). What is the tens digit of (-3 + 4)*-1 - t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 - 2*u - 2. Give p(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17.77 + -18.17. Let m = -0.07 - -0.2. Which is the nearest to m?  (a) -1  (b) t  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4.593 + -1.493. Which is the third smallest value?  (a) -3  (b) m  (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -35.95 + 4.95. What is the nearest to 0 in 2, 2\/17, -2\/5, o?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0009696 to five dps.\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*y**4 + 784*y**3 - 56088*y**2 + 1715472*y - 18519300 = 0. What is y?\nAnswer: 25, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 5, x: 1, k: 1, s: 1, w: 7}. Give prob of sequence tt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n - 3*n + 18*n)*(3*n**3 + 2 + n**3 - 3*n - 3*n**3).\nAnswer: 13*n**4 - 39*n**2 + 26*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.4734105 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 124868309, 124868308, 124868307?\n\"Answer: -k + 124868310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38656a (base 13) to base 16.\nAnswer: 14b2c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 + -12413?\nAnswer: -12403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 749, 751, 753?\n\"Answer: 2*m + 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - ba9c?\nAnswer: -ba99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 4 - 7)*(-r**5 + r**5 - r**5).\nAnswer: 14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 - 0. Suppose -6*q - 42 = -5*f - a*q, -f - 2*q - 2 = 0. Suppose -2*t + f = -0. Solve v + 19 = t*w + 6, v - 8 = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 60544 = -5*g, -5*d - 5*g - 63322 + 164212 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -16*f**2 - 55491*f + 10. Let x(p) = 7*p**2. Calculate q(x(y)).\nAnswer: -784*y**4 - 388437*y**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.16?  (a) -1\/4  (b) 4\/23  (c) -2.2  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + p**2. Let h = 7 + -5. Let t(n) = 0*n**2 + 4*n**2 - 5*n**2 + h. Give o(r) + t(r).\nAnswer: -r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -2*r**3 + 27*r**2 - 10*r + 19. Calculate q(13).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4449111.\nAnswer: 3, 461, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 4*y**2 - 2*y + 12. Let m(k) = -2*k**3 - 28*k**2 + 65*k + 22. Let l be m(-16). Give z(l).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 379, 405, 441, 487, 543, 609?\n\"Answer: 5*g**2 + 11*g + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20501.4 - 20501. Let z = -0.9 - 0. What is the closest to 1 in 0.2, z, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*i**2*z**2 + 3*i*z**2 + 391*i - z**2 - 10094*z wrt i.\nAnswer: -8*i*z**2 + 3*z**2 + 391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -6*u. Let z(k) = 7*k + 1. Let f(a) = 4*l(a) + 3*z(a). Find the first derivative of f(n) wrt n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**2 - 7*n - 2. Let k be u(-6). Let c(j) = 3*j**2 - j - 2. Let h be c(-1). Let z(f) = f**3 - 18 + 22 - f**2 + 0*f**h - 3*f**2. Calculate z(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -775 - -2055. Calculate the greatest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 66 - 58. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4791, 24122, 43453, 62784?\nAnswer: 82115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a decade in years?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4237 + -4241. Let v = -0.1 - -3.1. What is the nearest to 8 in v, x, 0.04?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -47\/34  (b) -5  (c) -568\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (48\/41040*-6)\/((-2)\/(-80)*4)?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of -y**6\/60 + y**5\/12 - y**4\/4 + y**3\/2 + 43*y**2. What is h(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t - 143 + 3*t + 153 + (-3*t + 2*t + 0*t)*(-1 - 2 + 4) - t + 5*t - t.\nAnswer: 3*t + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 413081487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10874 - 10100 = -5*g - 2*u, 5*g - 3*u - 20989 = 0. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9383*d**2 + 18203*d**2 - 9349*d**2.\nAnswer: -529*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -2*t + 184, -t = 5*g - 4*t - 313. Suppose 0 = -2*c + 4*x + 32, -5*c + x + g = -0*x. Let d(l) = l**3 - 12*l**2 + 2*l + 3. Does 27 divide d(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 - -15) + (1 - (-2 - -4)) + 220 + -210?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2984*u + 16463 - 16461 + 138*u)*(-4*u**2 + 5*u**2 - 3*u**2) to l*u**3 + x*u**2 + o + g*u and give l.\nAnswer: -6244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71390882.\nAnswer: 2, 5903, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/122298 and -83\/118592?\nAnswer: 3913536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uiu when three letters picked without replacement from {p: 10, u: 2, i: 1, b: 3}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20 - 37) + (6 - 8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*c**3 + 0*c**3 + c**3 + (-2*c + 2*c + 2*c)*(-689*c - 13*c**2 + 689*c) as b*c + v*c**2 + h*c**3 + m and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22*q**2*x**3 - 41*q**2*x + q*x**3 - 2*q*x**2 - 2*q - 286*x**3 wrt q?\nAnswer: 44*x**3 - 82*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*l - 15*l + 1 - 3*l)*(1 - 1 - l)*(142*l**2 - 31*l**2 + 183*l**2).\nAnswer: 3234*l**4 - 294*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, -2, -1, 2 in decreasing order.\nAnswer: 27, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 2*z + 4*z - 8 = 0, -5*z - 16 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-8)\/((-40)\/10))\/((-40)\/(-5)))\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 41567621?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 0*a + 18 - a + 2 - 6. Let n be o(11). Solve 4*x - 2*c + 16 = 4, n*x + 2*c + 23 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -207944, -207946, -207948, -207950?\n\"Answer: -2*k - 207942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = n - 4*m, 0*n - 6 = -3*n - m. Let h(y) = -y**3 + 3*y**2 - 2*y. Calculate h(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 - (-3)\/6*-2. Let r = 0 + n. Suppose -y + r*w = -5*y + 156, y = -4*w + 39. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lrdllllglyllrlllddl. Give prob of picking 3 l.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 5, l: 3, c: 1, e: 2, m: 1}. Give prob of sequence ll.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 29682817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -305*z + 308*z - 5*p + 28, 2*z = -5*p - 2. Let t(n) = -7*n. Let x(d) = 13*d + 1. Let f(j) = 11*t(j) + 6*x(j). Determine f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**3 - 5*y**2 - 1. Let s be c(6). Let h = s + -21. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 574*y + 354*y + 771 - 19331 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 99 - 109 - (-7 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 - 13. Suppose 0 = -o*f - 15, -l = l - f - 27. Let s(m) = -m**3 - 4*m**2 - m - 2. Let v be s(-4). Solve -v*q - l = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + -13. Let y be 2790 + 8 - (-4 - 0). Let t(g) = -y + 2811 + g + 0*g. Give t(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/490*2975\/357*21\/(-70)?\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4903.\nAnswer: 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-4*(sqrt(63) + sqrt(7)))**2*-1 + -5*(-1 + sqrt(448))**2).\nAnswer: -12111 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 539175 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 5*p**2 + 3*p - 14. Give o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11844)\/16920 + 77\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 156 - ((-10)\/(-2) + -9). Calculate the greatest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 337468795 divided by -67493759.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/((m\/(m*m*((m\/(m**(-1\/5)*m))\/m)\/m))\/m)*m**(-5))\/(m**6\/(m\/m**7)) assuming m is positive.\nAnswer: m**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 - 2*m + 4. Let w be t(3). Suppose -w = -2*r + 13. What is the greatest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.4 + 1.4. Suppose -16 + 6 = -2*m - 4*g, -3*m = -g - 8. Let r = 987 + -985. Which is the smallest value?  (a) -0.08  (b) m  (c) r  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 5*f**3 + 6446*f**2 + 2773504*f + 397534998. Let r(o) = 2*o**2 - 2*o + 1. Let a(w) = -2*r(w) - v(w). Let a(z) = 0. Calculate z.\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 606 and 11009.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 18000*m. Suppose -8 - 12 = -2*v. Let s be d(v). Round s to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0013895 rounded to five dps?\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 40037 to the nearest 100.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -7005 (base 16) in base 13?\nAnswer: -1008c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - 3)\/66 - 41\/209?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -42 + 5*s + 42. Suppose -4 = -2*t - 0. Let c be 2\/t - (-1 + 1). Determine z(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/4)\/y*(y\/y**2)\/y)\/(y\/(y\/y**(1\/4)))**(-40\/7))**(8\/5) assuming y is positive.\nAnswer: y**(-102\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + 48206b?\nAnswer: 482068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1400.8 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003570473062 to seven decimal places.\nAnswer: -0.000357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 15431 + -225?\nAnswer: 15202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((72\/30)\/6)\/(-2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, i: 3, w: 1, j: 4, c: 4, h: 3}. Give prob of picking 1 j and 1 h.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13010 or 12997?\nAnswer: 12997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, s: 1, y: 1, r: 2}. What is prob of sequence rky?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 188*h - 2222*h - 1328*h - 529*h - 34*h - 1018*h.\nAnswer: -4943*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -201*h + 198*h = -3*u - 27, -2*u = 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123 = -68*o + 81. Factor 0*s**2 + 2\/7*s - 4\/21 - 2\/21*s**o.\nAnswer: -2*(s - 1)**2*(s + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1300 and 4251832.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 304 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1600\/(-3)*225\/(-6). Suppose f = 6*f - b. Suppose 0*a = -a - f. What is a rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3546 - 3546. Put 125, c, -8 in decreasing order.\nAnswer: 125, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 218892 and 2700654.\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*x - c + 5, 179 = 4*x - 2*c + 189 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y**3 - 4*y - 12. Let p(j) = -j**3 + j + 1. Let m(d) = -n(d) - 6*p(d). What is the second derivative of m(t) wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26 + 11*k - 26 - 19 - 9*k.\nAnswer: 2*k - 19","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 + 12\/3 + -5. Solve -5 = -c*a + 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/21*(-840)\/(-120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 2 = -t - t, -4*t - 5*u - 5 = 0. Suppose -4*x - x - 30 = t. Let m(i) be the second derivative of -i**4\/12 - i**3 + i**2\/2 + 6*i. Calculate m(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.023014838 rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10575 by 5.\nAnswer: -2115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together -61860226357718 and -5.\nAnswer: -61860226357723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1  (b) 0.5  (c) -5  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxoo when four letters picked without replacement from xoxxxoxoxxxxxxxxxxo.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-380)\/15)\/((-2640)\/3960)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 37108015?\nAnswer: 74216030","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -19.985 - 0.015. Let m = -26146916.999991 - -26146897. Let r = m - q. What is r rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -20630897 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 - 6*k**2 - 5*k + 4. Let h be z(-5). Suppose 0 = -x - h*x + 105. Let g = x + 10. Calculate the remainder when g is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aara when four letters picked without replacement from iaramriiia.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (10 - 6 - (12 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*q**4 - 5*q**4 + 2*q**4)*(2*q - 4 + 1 - 6).\nAnswer: 4*q**5 - 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -875*t = -902*t - 270 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from iiixxxaoooioi.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.89 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6.99 + -0.01. Let q = s - -10. Let v = -666\/845 + -2\/169. Which is the third biggest value?  (a) v  (b) q  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*s = 5*f - 261, -2*s + 9 = -80521*f + 80522*f for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.02650862 and -23556.33.\nAnswer: -23556.35650862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 121 + -116. Solve g - c*r + 21 = 0, -4*g = 3*r + r - 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13051650 (base 7) to base 14\nAnswer: 22d527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 + 16. Suppose 3*f = 5*f + a. Let u(i) = -2*i. What is the units digit of u(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1691478 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -801\/19 + 110601\/2660. Find the common denominator of -117\/196 and o.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -6*u**2 - 51*u - 9. Let r(f) = 36*f**2 + 307*f + 53. Let h(q) = 2*r(q) + 13*v(q). Let w be h(-8). Put w, -2\/5, -4, 4 in ascending order.\nAnswer: -4, w, -2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160 = -43*t + 39*t. What are the prime factors of 972\/32 + (-15)\/t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 1496*v - 1668. Let f(t) = -498*t + 556. Let a(r) = -8*f(r) - 3*m(r). Find the first derivative of a(l) wrt l.\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(1377) + -1)*-2 + (sqrt(1377) - -4*(sqrt(1377) + -1) - (1 + sqrt(1377) + 0)))*-1)**2.\nAnswer: -432*sqrt(17) + 88137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q**3 - 78*q**2 + 1257*q + 1332 = 0. Calculate q.\nAnswer: -37, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (735\/392)\/(6\/(-8))*(-23)\/805.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 258 divided by 2.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 338, 2\/3, 0 in increasing order.\nAnswer: 0, 2\/3, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 163446*l**2. Let s(r) = 3*r**2. Calculate s(g(u)).\nAnswer: 80143784748*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26654238?\nAnswer: 2, 3, 13, 43, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1765 = 4*q - 3583. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/21 - (0 - 480\/(-14)). Let b = j - -36. Let z(c) = c - 4*c - b - 1 + 0*c. Calculate z(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.56 + -0.5. Let j = y - 0.03. Let w = 3.03 - j. Which is the third biggest value?  (a) -2\/3  (b) w  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k - 2*k + 192 = 0. Let m = 47 - k. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1221 or -1739?\nAnswer: -1739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*s**2 + s**2 - s**2)*(2*s - 5*s + 0*s) + 5*s**3 - 15*s - 4*s**3 + 11*s to the form v + l*s + n*s**3 + j*s**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-31\/4)*q**23)\/(q**(-13)*(q*q\/((((q**31\/q)\/q)\/q*q)\/q*q)*q)\/q) assuming q is positive.\nAnswer: q**(221\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 f, and 2 o when four letters picked without replacement from fooaififiiiaa?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from deerbbee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -67691 - -67791. Suppose 0 = -4*j + 4*q - 3*q + 80, -3*j - 2*q + 60 = 0. What is the least common multiple of u and j?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 532169*l**2 + 211796 wrt l.\nAnswer: 1064338*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 113 * 0.128003.\nAnswer: 14.464339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 109\/(61803\/42)*((-4)\/2)\/12*-1.\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 + t - 1. Let w(r) = -36*r**2 + 4*r - 13. Let m(d) = w(d) - 4*x(d). Find the first derivative of m(f) wrt f.\nAnswer: -80*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64.0865kg in nanograms?\nAnswer: 64086500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 482, 553, 626, 701, 778, 857, 938?\nAnswer: 1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 123525 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = u + 7. Put 0.01, u, -3\/5 in descending order.\nAnswer: 0.01, -3\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -5*d + 75, 2 = -u - 2. Let l = d + -2. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + 14 - (0 - 24) - (179 + -177)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 6 + 0 - 9 - 6*d + 4*d. Let x(i) = -2*i - 3. Determine 3*k(m) - 4*x(m).\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -172, -165, -158?\n\"Answer: 7*p - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.854142 to 3 dps.\nAnswer: -1.854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f**2 - 57*f - 298. Calculate r(-15).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 726812231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -4*c**3 - 2*c - 1. Let v be (-21)\/27 + 4\/(-18). Let h be t(v). Factor -4*f**5 - 8*f**3 - f**h - 30*f**3 + 20*f**2 + 40*f + 8*f**3 - 25*f**4.\nAnswer: -5*f*(f - 1)*(f + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w + 2. Let v be c(3). Solve 0 = -2*q - 2*p - 5 + 13, 12 = 3*q + v*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12746, 25489, 38232, 50975?\nAnswer: 63718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 363?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 23\/4066?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - 0) + (-87 - -99). Solve 2 = -7*a - j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 s when three letters picked without replacement from sspaasaasaappapsap.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10914 is divided by 1362?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0  (b) -7.7  (c) -1  (d) -4  (e) -1\/4  (f) 15  (g) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 64561, 62605, 60649, 58693, 56737?\n\"Answer: -1956*w + 66517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25415.65 litres?\nAnswer: 25415650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of 6435622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -315 divided by -105?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 155228731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17495645 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*p = 28*p + 9*z - 48, 0 = -p - z + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -141*o = 642 + 593 - 107 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 10 and -64552.45676857?\nAnswer: 64562.45676857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 4*i - 213 = -2*z, z = 4*i - 173. Is 23 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 28 = 2*o + 2*u, 3*o + 4*u - 7 = 0. Calculate the least common multiple of o and 690.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.62 to 1 dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 557, 1130, 1713, 2312, 2933?\nAnswer: 3582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30 - 19. Let k = 4 - n. What is the remainder when 19 is divided by 47\/7 - 2\/k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 89403\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*a + 201 - 607 - 193.\nAnswer: -55*a - 599","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**21\/c*c**(-1) assuming c is positive.\nAnswer: c**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -50, 1044, -5, 3 in descending order.\nAnswer: 1044, 3, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8*(-1)\/4*1)\/((-255)\/45)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 + 2. Let z(j) = -j**2 + j + 3. Let g(k) = 6*a(k) - 5*z(k). Let t be g(-3). Solve 6 = -t*l - 4*s, 3 = 2*l - 4*s + 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2046\/279 + (-77)\/6?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (1044\/16)\/(-9) + (-2)\/(-8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.5?  (a) 0  (b) 1  (c) -22.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/946 and -17\/330.\nAnswer: 14190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*s + 1866 = 3 + 223 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c - 16. Let t be p(-12). Let r be t - (2 + -3)*-9. Is r at least -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 221824 and 256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, f: 6, p: 1}. What is prob of sequence xpx?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 47 + -18. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 386 a factor of 865412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -5*i - g + 19, 3*g = 3*i - 15. Suppose 4*s = -i*t + 446, 4*s + t = 527 - 76. What is the remainder when s is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 163804779 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (10 - 8)*(0 - -2). Suppose -p*c - 77 = -25. Let u = c - -23. Calculate the lowest common multiple of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 472, 692, 1338, 2626, 4772?\n\"Answer: 36*u**3 - 3*u**2 - 23*u + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -32300 * -0.5.\nAnswer: 16150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1356534 and 39791664?\nAnswer: 119374992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + -0.99999962. Round q to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 20 = 0, -18 = 5*i + 5*x - 3. Let g = 24785.14 + -24785. Let j(r) = -r**3 - 5*r**2 + 2*r + 7. Let s be j(-5). Put i, s, g in descending order.\nAnswer: i, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + (51 + -54 + -4 + 0 - -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 + 16. Let g = -4 - u. What is the highest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, u: 4, v: 1}. Give prob of sequence vuu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 3*c + 80. Suppose p - c = -x, -4*p + 70 = -4*x + 6. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/6)\/(1\/(-12)). Suppose 60 = 17*p - 5*p. What is the third derivative of 6*i**6 + b*i**5 + 8*i**2 - 4*i**p wrt i?\nAnswer: 720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30485 is divided by 477.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 PM and 3:45 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -3*x - 9. Let g be t(-2). Let o be (-40)\/(-12) - 3 - g\/(-3). Which is the second biggest value?  (a) o  (b) 4\/7  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 141 - 145.98. Let f = 1.02 - g. Let d = 603\/7 - 86. Which is bigger: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate m**3 - 2*m**2 + 2947703*m - 6841835 wrt m.\nAnswer: 3*m**2 - 4*m + 2947703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 3)*((4*h - 5*h + 0*h)*(2*h**2 - 2*h**2 - h**3) - 186 + 186 - 294*h**4) - 7*h**4 + 7*h**4 - 12*h**4.\nAnswer: -598*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7 - -7b?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -429 divided by 13.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 + 4*z**2 + 98*z + 396. Let u be l(-4). Let p = -51\/47 - 362\/1269. Let t = p - -25\/27. What is the closest to 0.2 in -3\/2, t, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3.6641+-7\nAnswer: -10.6641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 5830830 to the nearest 10000.\nAnswer: 5830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*u**4\/7 - 40*u**3\/7 + 6456*u**2\/7 + 150336*u\/7 = 0. Calculate u.\nAnswer: -54, -24, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let f = -15.434 + 15.564. Which is smaller: 138 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8540 by -854.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21.7 + -241.3. Let f = u - -576. Let m = f - 312.999753. What is m rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 1961*l + 331. What are the prime factors of o(2)?\nAnswer: 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 334157 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*t - 23*t**2 + 14*t**2 + 6*t**5 + 9*t**2 wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 - 13*d - 22. Let z be s(-3). Let t be 4\/z - (-9)\/(-6). Which is the nearest to 0.1?  (a) 5  (b) t  (c) -1\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -5*q, -v - 3*q = 2*q - 10. Let y = v + 31. Is 24 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -91 - 5865\/(-85) - 258\/(-10)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-3971)\/(-285) - 14)*9. What is the closest to -1.2 in 2\/3, b, -2\/15, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 66*v**5 - v**4 - v**2 - 350*v wrt v.\nAnswer: 3960*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1272 - 846. What is the remainder when y is divided by 108?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/22 and 31\/3610.\nAnswer: 39710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 - 178*z**2 - 191*z - 2481. Give u(-177).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*o + 2*o + 2464132 = 19*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 608 and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f - 1 + f**2 + 2*f - 3*f**2 + 4*f**2 + 3*f**2 + (f - f - 2*f**2)*(0 - 2 + 3).\nAnswer: 3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -777*d**2 - 2. Let n(w) = -324*w. Determine p(n(q)).\nAnswer: -81566352*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31 + -14 + -38 + -1 - -9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 60 = 5*i. Calculate the least common multiple of i and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-40057)\/1599 + ((-1)\/(117\/4))\/(334\/(-501))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, e: 2, g: 1, k: 3, n: 11, r: 1}. What is prob of picking 1 n and 2 e?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 250249582 to the power of 1\/2, to the nearest integer?\nAnswer: 15819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00236952617 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 6177 = -4*i - i, -4*z + 5*i = -8241. Let k = -1204 + z. What is k rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 775 divided by -6278\nAnswer: -775\/6278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 44124*g**3*s**3 - 2*g**3 - 616*s**3 + 21*s**2 + s wrt g.\nAnswer: 132372*g**2*s**3 - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaak when four letters picked without replacement from akkaakkak?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of 13\/2*q**2 - 5*q - 242 + 5\/3*q**3 + 11\/4*q**4. Let a(j) = -16*j**3 - 7*j**2 - 19*j + 7. What is 5*a(x) + 7*b(x)?\nAnswer: -3*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 0 = 8. Suppose -a*o + 4120 = -3*v, 3*o + v - 3061 = -4*v. Is 79 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t and 1 s when four letters picked without replacement from btaoees.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 7658440243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 + 14. Which is the third smallest value?  (a) 0.1  (b) h  (c) 6\/5  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 1189 = -5*x - 2*q, -5*q + 1175 = 5*x. Let d = -54 + x. List the prime factors of d.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 2*f - 1 + 12 + 7 in the form k*f + g and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-2))\/(2\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10101010001010011011 (base 2) to base 12.\nAnswer: -297423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*w**5 + 740*w**4 + 410*w**3 - 740*w**2 - 435*w = 0. Calculate w.\nAnswer: -29, -1, -3\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 71 - 24. Let f = -30 + w. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = 4*x + 42. Let s = -16 - x. Suppose 16*w - 1260 = 9*w. Calculate the highest common factor of w and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of w**9\/181440 - w**8\/20160 + w**7\/5040 - w**6\/2160 + w**5\/20 - 3*w**2. Let t(m) be the third derivative of z(m). Factor t(s).\nAnswer: (s - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 56*v**2 - 5*v - 105. Let m(a) = -10*a**2 + a + 21. Determine -11*m(l) - 2*u(l).\nAnswer: -2*l**2 - l - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*r - 23*r**2 + 6*r**2 - 28*r**2 - 22*r**2.\nAnswer: -67*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 72  (b) -275403  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2123012102001 - 0?\nAnswer: 2123012102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -8, 5, 23, -53, 4 in descending order.\nAnswer: 23, 5, 4, 1, -8, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 111886681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-616)\/(-3234))\/((-4)\/(-14)))\/(82*(-2)\/4)?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3*(-3 - -4))\/1. Let r be (-23)\/(-5)*15\/a. Let j be r - (1 + -2) - 0. Calculate the highest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -828*c - 19772. Determine o(-19).\nAnswer: -4040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36*(-8)\/((-408)\/17).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -543, -2761, -7609, -16041, -29011, -47473, -72381, -104689?\nAnswer: -145351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2120.23 to zero dps.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12 and 80917002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 249 - 32. What are the prime factors of o?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 0*i**2 + 11*i - 2042844 - 6*i**3 + 0*i**2 + 2042833. Let b(h) = 2*h**3 - 4*h + 4. Let j be (-2)\/(0 - 2\/(-11)). Calculate j*b(k) - 4*r(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 2*c - r, -41*r = -3*c - 39*r + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 3:00 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:48 AM and 6:46 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = 4*l - 15*z + 13*z, -2*l - 4*z + 2 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**3\/2 - 840*v**2 - 9987*v\/2 - 4155.\nAnswer: -3*(v + 1)*(v + 5)*(v + 554)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 43320 and 238260.\nAnswer: 476520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1025, 4199, 9479, 16859, 26333?\n\"Answer: -a**3 + 1059*a**2 + 4*a - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2073753908?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -20*m**2 + 238 - 238. Suppose w = 3*w - 2*z - 10, -4*w = 4*z + 20. Let x be (w + (-9 - 2))*1. Let b(y) = -7*y**2. Give x*b(q) + 4*h(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -7*r + 4. Let l(w) = -8*w + 5. Let m(h) = -5*j(h) + 4*l(h). Let d(z) = 1 + 0*z - 1 + 2*z. Calculate d(m(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 2)*(3*g**2 + g**2 - g**2 + (-1 + 2*g**2 + 1)*(-3 + 3 - 1)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 9 = -4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 59 + -45. Suppose -u = -4*f + 10. Suppose -2*q = f*q - 2344. List the prime factors of q.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 40 + -78. Do -38 and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54 + 8 + (-14 - 0) - 13?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 AM and 8:31 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9936 and 714288?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.07, -2\/325, -0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**2 - 3*g - 2. Let b be (-290)\/75 + 4\/(-30). Give k(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bo when two letters picked without replacement from auonnbuuanoauvo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 5*s = -4*w - 1980, 0 = -4*w + 20. Suppose 498*m = s*m - 54. What is the smallest common multiple of 171 and m?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -o + 6. Let x(f) = -f**3 + 3*f**2 - f + 1. Let u be x(2). Suppose -u*s - 3*d = 0, 0*d - 5*d = 20. Solve s*l = 5*l + o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (36\/5)\/(27\/(-30) + 1). Calculate the highest common factor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2394)\/(-836) + (27 - (-1062)\/(-36))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vfvv when four letters picked without replacement from fvffffffvffffvffvff?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from mmcccjcqqmccctvcccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggggfgggffgg. What is prob of picking 2 f and 1 g?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 PM and 4:13 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 3  (b) 10  (c) 0.2  (d) 0  (e) 2\/3  (f) 0.711  (g) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 55*t + 5. Let g be l(-4). Let j be g\/(-45) - (-4)\/18. Sort 0, -3, j, -2.\nAnswer: -3, -2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2 - 6*r - 5. Let q be p(7). Suppose 3*l - 40 = -q*l. Let z = -7 - -11. What is the smallest common multiple of z and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -9  (b) 0.1  (c) 2\/7  (d) 0  (e) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*d**6 + 3*d**3 - 20*d**2 + 3*d wrt d.\nAnswer: -1320*d**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -581 - -590. Calculate the greatest common factor of a and 1017.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 517.6586 weeks in days?\nAnswer: 3623.6102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2799)\/2177)\/((-1)\/(-7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -38*-624\nAnswer: 23712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 5*o = 30 - 48, -3*o = 3*i + 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3*(-1 - -5 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 4*v + 40, -5*v - 2*l + 3*l - 39 = 0. Let y be 4\/(-14) - (-12)\/v. What are the prime factors of 4 + y + 16\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c + 12*c - 63 = 0. Let y(p) = 2*p + 45. Let l be y(c). Let n(o) = o**3 - 4*o**2 + 3. Give n(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 203824791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of i**9\/432 + i**5\/24 + 7*i**3\/6 + 9*i. Let h(f) be the second derivative of b(f). Find the second derivative of h(j) wrt j.\nAnswer: 140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.4665212 to one dp.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*a + 8*a + 9*a)*(7603*a - 7603*a + 2*a**2 + 105).\nAnswer: 18*a**3 + 945*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(700) - (-1 + sqrt(700))) + 5 + sqrt(700) + -5 + (1 + sqrt(700) - sqrt(700)) + sqrt(700))**2 + -1.\nAnswer: 80*sqrt(7) + 2808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4660316 divided by -4.\nAnswer: 1165079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 + 2*m + 3. Calculate n(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 58, 113, 168, 223, 278, 333?\n\"Answer: 55*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1845, -3690, -5535, -7380?\n\"Answer: -1845*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + -4. Let x(k) = -k**3 - 6*k**2 + k - 3. Let o be x(a). Let q = 17 + o. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 6) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 + -2. Suppose 6*a = a + 25. Solve -4*o = a + v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 + 18. Let t = 11 - c. Let y be 2\/t*(-5)\/(-2). Solve 3*k + 5*v + 1 = -13, 3*k - y*v = 26 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r*r*r**(-1)\/r*r)\/(r\/(r\/r**3)))**31*((r\/r**(-1))\/r**(4\/7))**(-16\/3) assuming r is positive.\nAnswer: r**(-811\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of 0*s**2 + 2\/21*s**3 + 6 + 0*s - 1\/35*s**5 - 1\/28*s**4. Suppose h(n) = 0. What is n?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -245, -9\/8, 4?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.2665249 less than 2.2?\nAnswer: -3.0665249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 + -2. Let z(a) = 2*a + 2*a + k*a - 3*a - 3. Let s be z(2). Calculate the highest common factor of s and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -66184b (base 16) in base 15?\nAnswer: -8c2746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -215.1005 + -0.2.\nAnswer: -215.3005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -3121101 (base 4) to base 7\nAnswer: -55353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*l = -8*l - 4 - 20. Solve -5*t = -2*p, l*p + 2 - 4 = 4*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (47*j + 42*j**3 - 47*j)*(23*j - 25 + 25).\nAnswer: 966*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/(-432)*(-32)\/46*11\/(-22)\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -222 - -1?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 45 + -42. Suppose -2 = 2*i + 3*b + 1, -b + 13 = -4*i. Let g be (-7)\/i + 6\/(-18). Solve x*n + g = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - (-17 + -9 - -19 - (-2 + -52))) + -1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -2.4. Let n = -1510 - -123817\/82. Let u = n - -129\/164. What is the biggest value in -0.2, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 - 6. Suppose 5*w - 25 = 2*f + 3*f, 0 = 5*w. Let i = f - z. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 8 = -4*t, -4*x - 31*t + 36*t + 10 = 0. Let -4\/15*g**3 + 2\/3*g**4 + 4\/15*g + x - 2\/3*g**2 = 0. What is g?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 153 = 3*q, 5*q + 51 = -s - 0*q. Is 8 a factor of (s - 0)\/(2\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -3*((sqrt(48)\/(1*sqrt(3)))\/(sqrt(128)*1 + sqrt(128)) + 5)*1)**2.\nAnswer: 21*sqrt(2)\/2 + 6281\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-280)\/168)\/((-10)\/84). What is the lowest common multiple of 18 and t\/1 - 7 - -3?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 5*j = -3*x + 8, x - j + 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -177*k + 36*k = 443 - 1571, 62 = 5*a + 4*k for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 834317327.\nAnswer: 29, 28769563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of 7*f**4\/6 - 7*f**3\/3 - 5*f**2 + 16*f. What are the prime factors of p(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2901 * -0.2\nAnswer: 580.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 112355401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that r**2\/6 + 194*r\/3 + 18818\/3 = 0.\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, 3, 6, -12 in increasing order.\nAnswer: -12, -2, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9012\/48 + 2\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide (-2)\/(-9 + 7)*1021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 934 - 466 - q + 28*q**2 - 462 - 103*q**2 as j*q + x + m*q**2 and give m.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/6  (b) 4  (c) 9\/2  (d) -0.14  (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -3*j + 17 - 26, 15 = -4*f - 5*j. Let y = -43 - -48. Solve y*t - 3*h + 3 = 0, 4*t + f*h + 8 = h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.9 - 3. Let k = 0.03 - -0.17. Is j > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -27 and 11.34.\nAnswer: -306.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.1 in 4, 0.17, -918, -5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 885 a factor of 10516346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 57908148\nAnswer: 1\/28954074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -25*g**3 - 2*g**2 - g. Let h be 1\/2*(22 + -24). Calculate the common denominator of x(h) and 3\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}